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1.

電子ブック

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by Sara van de Geer
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2159
オンライン: http://dx.doi.org/10.1007/978-3-319-32774-7
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1 Introduction
The Lasso
3 The square-root Lasso
4 The bias of the Lasso and worst possible sub-directions
5 Confidence intervals using the Lasso
6 Structured sparsity
7 General loss with norm-penalty
8 Empirical process theory for dual norms
9 Probability inequalities for matrices
10 Inequalities for the centred empirical risk and its derivative
11 The margin condition
12 Some worked-out examples
13 Brouwer’s fixed point theorem and sparsity
14 Asymptotically linear estimators of the precision matrix
15 Lower bounds for sparse quadratic forms
16 Symmetrization, contraction and concentration
17 Chaining including concentration
18 Metric structure of convex hulls
1 Introduction
The Lasso
3 The square-root Lasso
2.

電子ブック

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by Palle Jorgensen, Steen Pedersen, Feng Tian
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2160
オンライン: http://dx.doi.org/10.1007/978-3-319-39780-1
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3.

電子ブック

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by Viorel Barbu, Giuseppe Da Prato, Michael Röckner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2163
オンライン: http://dx.doi.org/10.1007/978-3-319-41069-2
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Foreword
Preface
Introduction
Equations with Lipschitz nonlinearities
Equations with maximal monotone nonlinearities
Variational approach to stochastic porous media equations
L1-based approach to existence theory for stochastic porous media equations
The stochastic porous media equations in Rd
Transition semigroups and ergodicity of invariant measures
Kolmogorov equations
A Two analytical inequalities
Bibliography
Glossary
Translator’s note
Index
Foreword
Preface
Introduction
4.

電子ブック

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edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2168
オンライン: http://dx.doi.org/10.1007/978-3-319-44465-9
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Mathias Beiglböck, Martin Huesmann and Florian Stebegg: Root to Kellerer
Nicolas Juillet: Peacocks Parametrised by a Partially Ordered Set
Convex order for path-dependent derivatives: a dynamic programming approach
Dai Taguchi: Stability problem for one-dimensional stochastic differential equations with discontinuous drift
Alexis Devulder: The Maximum of the Local Time of a Diffusion Process in a Drifted Brownian Potential
Mátyás Barczy and Peter Kern: A link between Bougerol’s identity and a formula due to Donati-Martin, Matsumoto and Yor
Ismal Bailleul: Large deviation principle for bridges of sub-Riemannian diffus ion processes
Jürgen Angst and Camille Tardif: Dévissage of a Poisson boundary under equivariance and regularity conditions
Nicolas Privault: Weitzenböck and Clark-Ocone decompositions for differential forms on the space of normal martingales
Anita Behme, Alexander Lindner and Makoto Maejima: On the range of exponential functionals of Lévy processes
Cédric Lecouvey and Kilian Raschel: t-Martin boundary of killed random walks in the quadrant
Christophe Profeta and Thomas Simon: On the harmonic measure of stable processes
Oleskiy Khorunzhiy: On High Moments of Strongly Diluted Large Wigner Random Matrices
Songzi Li: Dyson processes on the octonion algebra
Franck Maunoury: Necessary and sufficient conditions for the existence of a-determinantal processes
Stéphane Laurent: Filtrations of the erased-word processes
Anna Aksamit and Libo Li: Projections, pseudo-stopping times and the immersion property
David Applebaum: Stationary Random Fields on the Unitary Dual of a Compact Group
Wendelin Werner: On the spatial Markov property of soups of unoriented and oriented loops
Mathias Beiglböck, Martin Huesmann and Florian Stebegg: Root to Kellerer
Nicolas Juillet: Peacocks Parametrised by a Partially Ordered Set
Convex order for path-dependent derivatives: a dynamic programming approach
5.

電子ブック

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by W. A. Zúñiga-Galindo
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2174
オンライン: http://dx.doi.org/10.1007/978-3-319-46738-2
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p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
Parabolic-Type Equations on Adeles
Fundamental Solutions and Schrödinger Equations
Pseudodifferential Equations of Klein-Gordon Type
p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
6.

電子ブック

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edited by Volker Schmidt
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2120
オンライン: http://dx.doi.org/10.1007/978-3-319-10064-7
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Stein’s Method for Approximating Complex Distributions, with a View towards Point Processes
Clustering Comparison of Point Processes, with Applications to Random Geometric Models
Random Tessellations and their Application to the Modelling of Cellular Materials
Stochastic 3D Models for the Micro-structure of Advanced Functional Materials
Boolean Random Functions
Random Marked Sets and Dimension Reduction
Space-Time Models in Stochastic Geometry
Rotational Integral Geometry and Local Stereology - with a View to Image Analysis
An Introduction to Functional Data Analysis
Some Statistical Methods in Genetics
Extrapolation of Stationary Random Fields
Spatial Process Simulation
Introduction to Coupling-from-the-Past using R
References
Index
Stein’s Method for Approximating Complex Distributions, with a View towards Point Processes
Clustering Comparison of Point Processes, with Applications to Random Geometric Models
Random Tessellations and their Application to the Modelling of Cellular Materials
7.

電子ブック

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by Denis Belomestny, Fabienne Comte, Valentine Genon-Catalot, Hiroki Masuda, Markus Reiß
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2128
オンライン: http://dx.doi.org/10.1007/978-3-319-12373-8
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目次情報:
Estimation and calibration of Lévy models via Fourier methods
Adaptive Estimation for Lévy processes
Parametric estimation of Lévy processes
Estimation and calibration of Lévy models via Fourier methods
Adaptive Estimation for Lévy processes
Parametric estimation of Lévy processes
8.

電子ブック

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by David Alonso-Gutiérrez, Jesús Bastero
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2131
オンライン: http://dx.doi.org/10.1007/978-3-319-13263-1
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The Conjectures
Main Examples
Relating the Conjectures
Appendix
Index
The Conjectures
Main Examples
Relating the Conjectures
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edited by Véronique Gayrard, Nicola Kistler
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2143
オンライン: http://dx.doi.org/10.1007/978-3-319-17674-1
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1 Random Polymers
2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems
3 Derrida’s random energy models: from spin glasses to the extremes of correlated random fields
4 Isomorphism Theorems: Markov processes, Gaussian processes and beyond
5 Spectral properties of Wigner matrices
1 Random Polymers
2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems
3 Derrida’s random energy models: from spin glasses to the extremes of correlated random fields
10.

電子ブック

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by Matthias Heymann
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2134
オンライン: http://dx.doi.org/10.1007/978-3-319-17753-3
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11.

電子ブック

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edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2137
オンライン: http://dx.doi.org/10.1007/978-3-319-18585-9
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P. Salminen, J-Y. Yen, M. Yor: Integral representations of certain measures in the one-dimensional diffusions excursion theory
J. Warren: Sticky Particles and Stochastic Flows
T. Funaki: Infinitesimal invariance for the coupled KPZ equations
J. Pitman, W. Tang: Patterns in random walks and Brownian motion
J-F. Le Gall: Bessel processes, the Brownian snake and super-Brownian motion
L. Alili, P. Graczyk, T. Zak: On inversions and Doob h-transforms of linear diffusions
K. Yano, Y. Yano: On h-transforms of one-dimensional diffusions stopped upon hitting zero
D. Bakry, O. Zribi: h-transforms and orthogonal polynomials
A. Aksamit, T. Choulli, M. Jeanblanc: On an optional semi-martingale decomposition and the existence of the deator in an enlarged filtration
J. Pitman: Martingale marginals do not always determine convergence
J. Obloj, P. Spoida, N. Touzi: Martingale Inequalities for the Maximum via Pathwise Arguments
P. Biane: Polynomials associated with finite Markov chains
J. Najnudel: On σ-finite measures related to the Martin boundary of recurrent Markov chains
P. Fitzsimmons, Y. Le Jan, J. Rosen: Loop measures without transition probabilities
L.C.G. Rogers, M. Duembgen: The joint law of the extrema, final value and signature of a stopped random walk
E. Azmoodeh, G. Peccati, G. Poly: Convergence towards linear combinations of chi-squared random variables: a Malliavin-based approach
P-L Méliot, A. Nikeghbali: Mod-Gaussian convergence and its applications for models of statistical mechanics
P. Baldi: On Sharp Large Deviations for the bridge of a general Diffusion
N. Demni, A. Rouault, M. Zani: Large deviations for clocks of semi-stable processes
N. O'Connell: Stochastic Backlund transformations
N. Ikeda, H. Matsumoto: The Kolmogorov operator and classical mechanics
A. Comtet , Y. Tourigny: Explicit formulae in probability and in statistical physics
P. Bougerol: The Matsumoto and Yor process and infinite dimensional hyperbolic space
L. Chaumont: Breadth first search coding of multitype forests with application to Lamperti representation
L. Devroye, G. Letac: Copulas with prescribed correlation matrix
D. Stroock: Remarks on the HRT Conjecture
P. Salminen, J-Y. Yen, M. Yor: Integral representations of certain measures in the one-dimensional diffusions excursion theory
J. Warren: Sticky Particles and Stochastic Flows
T. Funaki: Infinitesimal invariance for the coupled KPZ equations
12.

電子ブック

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by Anton Bovier, David Brydges, Amin Coja-Oghlan, Dmitry Ioffe, Gregory F. Lawler ; edited by Marek Biskup, Jiří Černý, Roman Kotecký
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2144
オンライン: http://dx.doi.org/10.1007/978-3-319-19339-7
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Anton Bovier: From spin glasses to branching Brownian motion – and back?
David Brydges: The Renormalization Group and Self-AvoidingWalk
Amin Coja-Oghlan: Phase Transitions in Discrete Structures
Dmitry Ioffe: Multidimensional Random Polymers : A Renewal Approach
Gregory F. Lawler and Jacob Perlman: Loop measures and the Gaussian free field
Anton Bovier: From spin glasses to branching Brownian motion – and back?
David Brydges: The Renormalization Group and Self-AvoidingWalk
Amin Coja-Oghlan: Phase Transitions in Discrete Structures
13.

電子ブック

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by Farrukh Mukhamedov, Nasir Ganikhodjaev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2133
オンライン: http://dx.doi.org/10.1007/978-3-319-22837-2
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Introduction
Quadratic Stochastic Operators
Quadratic Processes
Analytic methods in the theory of quadratic stochastic processes
Quantum quadratic operators
Quantum quadratic operators on M2(C)
Infinite-dimensional quadratic operators
Quantum quadratic stochastic processes
Introduction
Quadratic Stochastic Operators
Quadratic Processes
14.

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by Lars Nørvang Andersen, Søren Asmussen, Frank Aurzada, Peter W. Glynn, Makoto Maejima, Mats Pihlsgård, Thomas Simon
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2149
オンライン: http://dx.doi.org/10.1007/978-3-319-23138-9
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Makoto Maejima: Classes of infinitely divisible distributions and examples
Lars Nørvang Andersen, Søren Asmussen, Peter W. Glynn and Mats Pihlsgard: Lévy processes with two-sided reflection
Persistence probabilities and exponents
Frank Aurzada and Thomas Simon: Persistence probabilities and exponents
Makoto Maejima: Classes of infinitely divisible distributions and examples
Lars Nørvang Andersen, Søren Asmussen, Peter W. Glynn and Mats Pihlsgard: Lévy processes with two-sided reflection
Persistence probabilities and exponents
15.

電子ブック

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by Zhan Shi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2151
オンライン: http://dx.doi.org/10.1007/978-3-319-25372-5
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I Introduction
II Galton–Watson trees
III Branching random walks and martingales
IV The spinal decomposition theorem
V Applications of the spinal decomposition theorem
VI Branching random walks with selection
VII Biased random walks on Galton–Watson trees
A Sums of i.i.d. random variables
References
I Introduction
II Galton–Watson trees
III Branching random walks and martingales
16.

電子ブック

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by Donald A. Dawson, Andreas Greven
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2092
オンライン: http://dx.doi.org/10.1007/978-3-319-02153-9
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Introduction
Emergence and fixation in the F-W model with two types
Formulation of the multitype and multiscale model
Formulation of the main results in the general case
A Basic Tool: Dual Representations
Long-time behaviour: ergodicity and non-ergodicity
Mean-field emergence and fixation of rare mutants (Phase 1,2)
Methods and proofs for the F-W model with two types
Emergence, fixation with M ≥ 2 lower order types
Emergence, fixation: The general (M, M)-type mean-field model
Neutral evolution on E1 after fixation (Phase 3)
Re-equilibration on higher level E1 (Phase 4)
Iteration of the cycle I: Emergence and fixation on E2
Iteration of the cycle – the general multilevel hierarchy
Winding-up: Proofs of the Theorems 3-11
Appendix 1 – Tightness
Appendix 2. Nonlinear semigroup perturbations
References
Index of Notation and Tables of Basic Objects
Index
Introduction
Emergence and fixation in the F-W model with two types
Formulation of the multitype and multiscale model
17.

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by Raphael Kruse
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2093
オンライン: http://dx.doi.org/10.1007/978-3-319-02231-4
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Introduction
Stochastic Evolution Equations in Hilbert Spaces
Optimal Strong Error Estimates for Galerkin Finite Element Methods
A Short Review of the Malliavin Calculus in Hilbert Spaces
A Malliavin Calculus Approach to Weak Convergence
Numerical Experiments
Some Useful Variations of Gronwall’s Lemma
Results on Semigroups and their Infinitesimal Generators
A Generalized Version of Lebesgue’s Theorem
References
Index
Introduction
Stochastic Evolution Equations in Hilbert Spaces
Optimal Strong Error Estimates for Galerkin Finite Element Methods
18.

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by Péter Major
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 849
オンライン: http://dx.doi.org/10.1007/978-3-319-02642-8
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19.

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by Takashi Kumagai
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2101
オンライン: http://dx.doi.org/10.1007/978-3-319-03152-1
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Introduction
Weighted graphs and the associated Markov chains
Heat kernel estimates – General theory
Heat kernel estimates using effective resistance
Heat kernel estimates for random weighted graphs
Alexander-Orbach conjecture holds when two-point functions behave nicely
Further results for random walk on IIC
Random conductance model
Introduction
Weighted graphs and the associated Markov chains
Heat kernel estimates – General theory
20.

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by Krzysztof Burdzy
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2106
オンライン: http://dx.doi.org/10.1007/978-3-319-04394-4
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1. Brownian motion
2. Probabilistic proofs of classical theorems
3. Overview of the "hot spots" problem
4. Neumann eigenfunctions and eigenvalues
5. Synchronous and mirror couplings
6. Parabolic boundary Harnack principle
7. Scaling coupling
8. Nodal lines
9. Neumann heat kernel monotonicity
10. Reflected Brownian motion in time dependent domains
1. Brownian motion
2. Probabilistic proofs of classical theorems
3. Overview of the "hot spots" problem
21.

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edited by William Chen, Anand Srivastav, Giancarlo Travaglini
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2107
オンライン: http://dx.doi.org/10.1007/978-3-319-04696-9
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Preface
Classical and Geometric Discrepancy
Upper Bounds in Classical Discrepancy Theory
Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections
Irregularities of distribution and average decay of Fourier transforms
Superirregularity
Combinatorial Discrepancy
Multicolor Discrepancy of Arithmetic Structures
Algorithmic Aspects of Combinatorial Discrepancy
Practical Algorithms for Low-Discrepancy 2-Colorings
Applications and Constructions
On the distribution of solutions to diophantine equations
Discrepancy theory and quasi-Monte Carlo integration
Calculation of Discrepancy Measures and Applications
Author index
Subject index
Preface
Classical and Geometric Discrepancy
Upper Bounds in Classical Discrepancy Theory
22.

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edited by Bo'az Klartag, Emanuel Milman
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2116
オンライン: http://dx.doi.org/10.1007/978-3-319-09477-9
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Dominique Bakry and Marguerite Zani: Random symmetric matrices on Clifford algebras
Itai Benjamini: Gaussian free field on hyperbolic lattices
Itai Benjamini and Pascal Maillard: Point-to-point distance in first passage percolation on (tree)Z
Zbigniew Blocki: A lower bound for the Bergman kernel and the Bourgain-Milman inequality
Jean Bourgain: An improved estimate in the restricted isometry problem
Jean Bourgain: On eigenvalue spacings for the 1-D Anderson model with singular site distribution
Jean Bourgain: On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians
Jean Bourgain: On the control problem for Schr odinger operators on tori
Ronen Eldan and Joseph Lehec: Bounding the norm of a log-concave vector via thin-shell estimates
Dima Faifman, Bo'az Klartag and Vitali Milman: On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus
Dan Florentin, Vitali Milman and Alexander Segal: Identifying set inclusion by projective positions and mixed volumes
Omer Friedland and Yosef Yomdin: Vitushkin-type theorems
Apostolos Giannopoulos and Emanuel Milman: M-estimates for isotropic convex bodies and their Lq-centroid bodies
Uri Grupel: Remarks on the Central Limit Theorem for non-convex bodies
Benjamin Jaye and Fedor Nazarov: Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem
Bo'az Klartag: Logarithmically-concave Moment Measures I
Alexander Koldobsky: Estimates for measures of sections of convex bodies
Alexander V. Kolesnikov and Emanuel Milman: Remarks on the KLS conjecture and Hardy-type inequalities
Rafal Latala: Modified Paouris inequality
Michel Ledoux: Remarks on noise sensitivity, Brascamp-Lieb and Slepian inequalities
Alexander E. Litvak and Susanna Spektor: Quantitative version of a Silverstein's result
Amir Livne Bar-On: The (B) conjecture for uniform measures in the plane
Galyna Livshytz: Maximal surface area of a convex set in Rn with respect to log-concave rotation invariant measures
Elisabeth Meckes and Mark Meckes: On the equivalence of modes of convergence for log-concave measures
Shahar Mendelson: A remark on the diameter of random sections of convex bodies
Piotr Nayar and Tomasz Tkocz: A note on certain convolution operators
Liran Rotem: On isotropicity with respect to a measure
Rolf Schneider: A formula for mixed volumes
Alexander Segal: On convergence of Blaschke and Minkowski symmetrization through stability results
Sasha Sodin: Positive temperature versions of two theorems on first-passage percolation
Konstantin E. Tikhomirov: The randomized Dvoretzky's theorem in `n1 and the-distribution
Dominique Bakry and Marguerite Zani: Random symmetric matrices on Clifford algebras
Itai Benjamini: Gaussian free field on hyperbolic lattices
Itai Benjamini and Pascal Maillard: Point-to-point distance in first passage percolation on (tree)Z
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by Claude Dellacherie, Servet Martinez, Jaime San Martin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2118
オンライン: http://dx.doi.org/10.1007/978-3-319-10298-6
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Inverse M - matrices and potentials
Ultrametric Matrices
Graph of Ultrametric Type Matrices
Filtered Matrices
Hadamard Functions of Inverse M - matrices
Notes and Comments Beyond Matrices
Basic Matrix Block Formulae
Symbolic Inversion of a Diagonally Dominant M - matrices
Bibliography
Index of Notations
Index
Inverse M - matrices and potentials
Ultrametric Matrices
Graph of Ultrametric Type Matrices
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edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2123
オンライン: http://dx.doi.org/10.1007/978-3-319-11970-0
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Sergey Bocharov, Simon C. Harris: Branching random walk in an homogeneous breeding potential
A.E. Kyprianou, J.-L. Pérez and Y.X. Ren: The backbone decomposition for spatially dependent supercritical superprocesses
Lucian Beznea, Iulian Cˆımpean:On Bochner-Kolmogorov theorem.-Jacques Franchi: Small Time Asymptotics for an Example of Strictly Hypoelliptic Heat Kernel.-Koléhè A. Coulibaly-Pasquier:Onsager-Machlupn functional for uniformly elliptic time-inhomogeneous diffusion
Xi Geng, Zhongmin Qian and Danyu Yang: G-Brownian Motion as Rough Paths and Differential Equations Driven by G-Brownian Motion
Isma¨el Bailleul: Flows driven by Banach space-valued rough paths
Christian Léonard: Some properties of path measures
Patrick Cattiaux, Arnaud Guillin: Semi Log-Concave Markov Diffusions
Carlo Marinelli,Michael Röckner: On maximal inequalities for purely discontinuous martingales in infinite dimensions
Walter Schachermayer: Admissible Trading Strategies under Transaction Costs
A.E. Kyprianou, A.R. Watson: Potentials of stable processes
Julien Letemplier,Thomas Simon: Unimodality of hitting times for stable processes
Mathieu Rosenbaum and Marc Yor:  On the law of a triplet associated with the pseudo-Brownian bridge
Jean Brossard, Michel Emery and Christophe Leuridan:Skew-product decomposition of planar Brownian motion and complementability
Vilmos Prokaj; On the exactness of the Lévy-transformation
Yinshan Chang: Multi-occupation field generates the Borel-sigma-field of loops
Ramon van Handel: Ergodicity, Decisions, and Partial Information
Laurent Serlet: Invariance principle for the random walk conditioned to have a few zeroes
Dario Trevisian: A short proof of Stein’s universal multiplier theorem
Joseph Najnudel, Ashkan Nikeghbali: On a flow of operators associated to virtual permutations
Sergey Bocharov, Simon C. Harris: Branching random walk in an homogeneous breeding potential
A.E. Kyprianou, J.-L. Pérez and Y.X. Ren: The backbone decomposition for spatially dependent supercritical superprocesses
Lucian Beznea, Iulian Cˆımpean:On Bochner-Kolmogorov theorem.-Jacques Franchi: Small Time Asymptotics for an Example of Strictly Hypoelliptic Heat Kernel.-Koléhè A. Coulibaly-Pasquier:Onsager-Machlupn functional for uniformly elliptic time-inhomogeneous diffusion
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edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Heidelberg : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2078
オンライン: http://dx.doi.org/10.1007/978-3-319-00321-4
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Special Course: I. Nourdin: Lectures on Gaussian approximations with Malliavin calculus
Other Contributions: V. Prokaj: Some sufficient conditions for the ergodicity of the Lévy-transformation
S. Laurent: Vershik’s intermediate level standardness criterion and the scale of an automorphism
C. Dellacherie and M. Émery: Filtrations indexed by ordinals; application to a conjecture of S. Laurent
M. Émery: A planar Borel set which divides every Borel product
J. Brossard et C. Leuridan: Characterising Ocone local martingales with reflections
H. Hashimoto: Approximation and stability of solutions of SDEs driven by a symmetric a stable process with non-Lipschitz coefficients
C. Cuchiero and Josef Teichman: Path properties and regularity of affine processes on general state spaces
E. Jacob: Langevin process reflected on a partially elastic boundary II
R. Doney and S. Vakeroudis: Windings of planar stable processes
A. Sokol: Elementary proof that the first hitting time of an open set by a jump process is a stopping time
L. Döring and M. Roberts: Catalytic branching processes via spine techniques and renewal theory
S. Bourguin and C. Tudor: Malliavin calculus and self normalized sums
P. Catuogno, D. Ledesma and P. Ruffino: A note on stochastic calculus in vector bundles
G. Pagès: Functional co-monotony of processes with an application to peacocks
S. Noreddine: Fluctuations of the traces of complex-valued iid random matrices
J. Ortmann: Functionals of the Free Brownian motion
L. Miclo and P. Monmarche´: Étude de processus moins indécis que les autres
F. Barthe and C. Bordenave:  Combinatorial optimization over two random point sets
I. Kortchemski: A simple proof of Duquesne’s theorem on contour processes of conditioned Galton-Watson trees
Special Course: I. Nourdin: Lectures on Gaussian approximations with Malliavin calculus
Other Contributions: V. Prokaj: Some sufficient conditions for the ergodicity of the Lévy-transformation
S. Laurent: Vershik’s intermediate level standardness criterion and the scale of an automorphism
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by Arnaud Debussche, Michael Högele, Peter Imkeller
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2085
オンライン: http://dx.doi.org/10.1007/978-3-319-00828-8
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Introduction
The fine dynamics of the Chafee- Infante equation
The stochastic Chafee- Infante equation
The small deviation of the small noise solution
Asymptotic exit times
Asymptotic transition times
Localization and metastability
The source of stochastic models in conceptual climate dynamics
Introduction
The fine dynamics of the Chafee- Infante equation
The stochastic Chafee- Infante equation
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by Ju-Yi Yen, Marc Yor
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2088
オンライン: http://dx.doi.org/10.1007/978-3-319-01270-4
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Prerequisites
Local times of continuous semimartingales
Excursion theory for Brownian paths
Some applications of Excursion Theory
Index
Prerequisites
Local times of continuous semimartingales
Excursion theory for Brownian paths
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by Itai Benjamini
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2100
オンライン: http://dx.doi.org/10.1007/978-3-319-02576-6
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Isoperimetry and expansions in graphs
Several metric notions
The hyperbolic plane and hyperbolic graphs
More on the structure of vertex transitive graphs
Percolation on graphs
Local limits of graphs
Random planar geometry
Growth and isoperimetric profile of planar graphs
Critical percolation on non-amenable groups
Uniqueness of the infinite percolation cluster
Percolation perturbations
Percolation on expanders
Harmonic functions on graphs
Nonamenable Liouville graphs
Isoperimetry and expansions in graphs
Several metric notions
The hyperbolic plane and hyperbolic graphs
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by Björn Böttcher, René Schilling, Jian Wang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2099
オンライン: http://dx.doi.org/10.1007/978-3-319-02684-8
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A Primer on Feller Semigroups and Feller Processes
Feller Generators and Symbols
Construction of Feller Processes
Transformations of Feller Processes
Sample Path Properties
Global Properties
Approximation
Open Problems
References
Index
A Primer on Feller Semigroups and Feller Processes
Feller Generators and Symbols
Construction of Feller Processes
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by Serge Cohen, Alexey Kuznetsov, Andreas E. Kyprianou, Victor Rivero
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2061
オンライン: http://dx.doi.org/10.1007/978-3-642-31407-0
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edited by Mostafa Bachar, Jerry Batzel, Susanne Ditlevsen
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2058
オンライン: http://dx.doi.org/10.1007/978-3-642-32157-3
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目次情報: 続きを見る
1 Introduction to stochastic models in biology
2 One-dimensional homogeneous diffusions
3 A brief introduction to large deviations theory
4 Some numerical methods for rare events simulation and analysis
5 Stochastic Integrate and Fire models: a review on mathematical methods and their applications
6 Stochastic partial differential equations in Neurobiology: linear and nonlinear models for spiking neurons
7 Deterministic and stochastic FitzHugh-Nagumo systems
8 Stochastic modeling of spreading cortical depression
1 Introduction to stochastic models in biology
2 One-dimensional homogeneous diffusions
3 A brief introduction to large deviations theory
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by Frederik Herzberg
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2067
オンライン: http://dx.doi.org/10.1007/978-3-642-33149-7
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1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
4 The radically elementary Girsanov theorem and the diffusion invariance principle
5 Excursion to nancial economics: A radically elementary approach to the fundamental theorems of asset pricing
6 Excursion to financial engineering: Volatility invariance in the Black-Scholes model
7 A radically elementary theory of Itô diffusions and associated partial differential equations
8 Excursion to mathematical physics: A radically elementary definition of Feynman path integrals
9 A radically elementary theory of Lévy processes
10 Final remarks
1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
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edited by Evgeny Spodarev
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2068
オンライン: http://dx.doi.org/10.1007/978-3-642-33305-7
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1 Foundations of stochastic geometry and theory of random sets
2 Introduction into integral geometry and stereology
3 Spatial point patterns – models and statistics
4 Asymptotic methods in statistics of random point processes
5 Random tessellations and Cox processes
6 Asymptotic methods for random tessellations
7 Random polytopes
8 Limit theorems in discrete stochastic geometry
9 Introduction to random fields
10 Central limit theorems for weakly dependent random fields
11 Strong limit theorems for increments of random fields
12 Geometry of large random trees: SPDE approximation
1 Foundations of stochastic geometry and theory of random sets
2 Introduction into integral geometry and stereology
3 Spatial point patterns – models and statistics
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by Péter Major
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2079
オンライン: http://dx.doi.org/10.1007/978-3-642-37617-7
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目次情報: 続きを見る
1 Introduction
2 Motivation of the investigation. Discussion of some problems
3 Some estimates about sums of independent random variables
4 On the supremum of a nice class of partial sums
5 Vapnik– Červonenkis classes and L2-dense classes of functions
6 The proof of Theorems 4.1 and 4.2 on the supremum of random sums
7 The completion of the proof of Theorem 4.1
8 Formulation of the main results of this work
9 Some results about U-statistics
10 MultipleWiener–Itô integrals and their properties
11 The diagram formula for products of degenerate U-statistics
12 The proof of the diagram formula for U-statistics
13 The proof of Theorems 8.3, 8.5 and Example 8.7
14 Reduction of the main result in this work
15 The strategy of the proof for the main result of this work
16 A symmetrization argument
17 The proof of the main result
18 An overview of the results and a discussion of the literature
1 Introduction
2 Motivation of the investigation. Discussion of some problems
3 Some estimates about sums of independent random variables
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edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2046
オンライン: http://dx.doi.org/10.1007/978-3-642-27461-9
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Context trees, variable length Markov chains and dynamical sources
Martingale property of generalized stochastic exponentials
Some classes of proper integrals and generalized Ornstein-Uhlenbeck processes
Martingale representations for diffusion processes and backward stochastic differential equations
Quadratic Semimartingale BSDEs Under an Exponential Moments Condition
The derivative of the intersection local time of Brownian motion through Wiener chaos
On the occupation times of Brownian excursions and Brownian loops
Discrete approximation to solution flows of Tanaka’s SDE related to Walsh Brownian motion
Spectral Distribution of the Free unitary Brownian motion: another approach
Another failure in the analogy between Gaussian and semicircle laws
Global solutions to rough differential equations with unbounded vector fields
Asymptotic behavior of oscillatory fractional processes
Time inversion property for rotation invariant self-similar diffusion processes
On Peacocks: a general introduction to two articles
Some examples of peacocks in a Markovian set-up
Peacocks obtained by normalisation; strong and very strong peacocks
Branching Brownian motion: Almost sure growth along scaled paths
On the delocalized phase of the random pinning model
Large deviations for Gaussian stationary processes and semi-classical analysis
Girsanov theory under a finite entropy condition
Context trees, variable length Markov chains and dynamical sources
Martingale property of generalized stochastic exponentials
Some classes of proper integrals and generalized Ornstein-Uhlenbeck processes
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edited by Bo'az Klartag, Shahar Mendelson, Vitali D. Milman
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2050
オンライン: http://dx.doi.org/10.1007/978-3-642-29849-3
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The α-Cosine Transform and Intertwining Integrals on Real Grassmannians
On Modules Over Valuations
On Multiplicative Maps of Continuous and Smooth Functions
Order Isomorphisms on Convex Functions in Windows
Finite Transitive Graph Embeddings into a Hyperbolic
Metric Space Must Stretch or Squeeze
Tightness of Fluctuations of First Passage Percolation on Some Large Graphs
Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity
Interpolations, Convexity and Geometric Inequalities
Hypercontractive Measures, Talagrand's Inequality, and Inuences
A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula
Stability of Order Preserving Transforms
On the Distribution of the 2-Norm of Linear Functionals on Isotropic Convex Bodies
A Remark on Vertex Index of the Convex Bodies
Inner Regularization of Log-Concave Measures and Small-Ball Estimates
An Operator Equation Generalizing the Leibniz Rule for the Second Derivative
Moments of Unconditional Logarithmically Concave Vectors
Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem
On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies
The Hörmander Proof of the Bourgain-Milman Theorem
On Some Extension of Feige's Inequality
On the Mean Width of Log-Concave
Approximate Gaussian Isoperimetry for k Sets
Remark on Stability of Brunn-Minkowski and Isoperimetric Inequalities for Convex Bodies
On Contact Points of Convex Bodies
The α-Cosine Transform and Intertwining Integrals on Real Grassmannians
On Modules Over Valuations
On Multiplicative Maps of Continuous and Smooth Functions
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by Areski Cousin, Stephane Crepey, Olivier Gueant, David Hobson, Monique Jeanblanc, Jean-Michel Lasry, Jean-Paul Laurent, Pierre-Louis Lions, Peter Tankov
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2003
オンライン: http://dx.doi.org/10.1007/978-3-642-14660-2
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edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2006
オンライン: http://dx.doi.org/10.1007/978-3-642-15217-7
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by Franco Flandoli
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2015
オンライン: http://dx.doi.org/10.1007/978-3-642-18231-0
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by Andreas Defant
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2021
オンライン: http://dx.doi.org/10.1007/978-3-642-20438-8
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by Ingemar Nasell
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2022
オンライン: http://dx.doi.org/10.1007/978-3-642-20530-9
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by Yves Le Jan
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2026
オンライン: http://dx.doi.org/10.1007/978-3-642-21216-1
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by Giambattista Giacomin
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2025
オンライン: http://dx.doi.org/10.1007/978-3-642-21156-0
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by Vladimir Koltchinskii
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2033
オンライン: http://dx.doi.org/10.1007/978-3-642-22147-7
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by Thomas Duquesne, Oleg Reichmann, Ken-iti Sato, Christoph Schwab ; edited by Ole E Barndorff-Nielsen, Jean Bertoin, Jean Jacod, Claudia Klüppelberg
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010
シリーズ名: Lecture Notes in Mathematics ; 2001
オンライン: http://dx.doi.org/10.1007/978-3-642-14007-5
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目次情報:
Fractional Integrals and Extensions of Selfdecomposability
Packing and Hausdorff Measures of Stable Trees
Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing
Fractional Integrals and Extensions of Selfdecomposability
Packing and Hausdorff Measures of Stable Trees
Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing
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by Nicolas Privault
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1982
オンライン: http://dx.doi.org/10.1007/978-3-642-02380-4
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by Krzysztof Bogdan, Tomasz Byczkowski, Tadeusz Kulczycki, Michal Ryznar, Renming Song, Zoran Vondracek ; edited by Piotr Graczyk, Andrzej Stos
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1980
オンライン: http://dx.doi.org/10.1007/978-3-642-02141-1
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by Alice Guionnet
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1957
オンライン: http://dx.doi.org/10.1007/978-3-540-69897-5
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by Robert Dalang, Davar Khoshnevisan, Carl Mueller, David Nualart, Yimin Xiao ; edited by J. -M. Morel, F. Takens, B. Teissier, Davar Khoshnevisan, Firas Rassoul-Agha
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1962
オンライン: http://dx.doi.org/10.1007/978-3-540-85994-9
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by Frank Hollander
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1974
オンライン: http://dx.doi.org/10.1007/978-3-642-00333-2
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