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1. Quadratic Residues and Non-Residues : Selected Topics
by Steve Wright
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2171
オンライン: http://dx.doi.org/10.1007/978-3-319-45955-4
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Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime
Chapter 2. Basic Facts
Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity
Chapter 4. Four Interesting Applications of Quadratic Reciprocity
Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications
Chapter 6. Elementary Proofs
Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues
Chapter 8. Dirichlet's Class-Number Formula
Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression
Chapter 10. Are quadratic residues randomly distributed?
Bibliography
Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime
Chapter 2. Basic Facts
Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity
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2. Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
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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3. Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2011-2013
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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4. Stochastic Geometry, Spatial Statistics and Random Fields : Asymptotic Methods
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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5. Geometric Aspects of Functional Analysis : Israel Seminar 2006–2010
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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6. Algebraic Topology of Finite Topological Spaces and Applications
by Jonathan A. Barmak
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2032
オンライン: http://dx.doi.org/10.1007/978-3-642-22003-6
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7. Stochastic Geometry : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13-18, 2004
by Adrian Baddeley, Imre Barany, Rolf Schneider ; edited by Wolfgang Weil
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1892
オンライン: http://dx.doi.org/10.1007/3-540-38174-0
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8. Geometric Aspects of Functional Analysis : Israel Seminar 2004-2005
edited by Vitali D. Milman, Gideon Schechtman
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1910
オンライン: http://dx.doi.org/10.1007/978-3-540-72053-9
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