E-raamat: High Dimensional Probability VIII: The Oaxaca Volume

Edited by Rafa Lataa, Edited by Karim Lounici, Edited by Nathael Gozlan, Edited by Mokshay Madiman

Formaat: EPUB+DRM
Sari: Progress in Probability 74
Ilmumisaeg: 26-Nov-2019
Kirjastus: Springer Nature Switzerland AG
Keel: eng
ISBN-13: 9783030263911

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Formaat: EPUB+DRM
Sari: Progress in Probability 74
Ilmumisaeg: 26-Nov-2019
Kirjastus: Springer Nature Switzerland AG
Keel: eng
ISBN-13: 9783030263911

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This volume collects selected papers from the 8th High Dimensional Probability meeting held at Casa Matemįtica Oaxaca (CMO), Mexico.

High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, random graphs, information theory and convex geometry.

The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.

Jųrgen Hoffmann-Jųrgensen (19422017).- Moment estimation implied by the
Bobkov-Ledoux inequality.- Polar Isoperimetry. I: The case of the Plane.-
Iterated Jackknives and Two-Sided Variance Inequalities.- A Probabilistic
Characterization of Negative Definite Functions.- Higher Order Concentration
in presence of Poincaré-type inequalities.- Rearrangement and
PrékopaLeindler Type Inequalities.- Generalized Semimodularity: Order
Statistics.- Geometry of np -Balls: Classical Results and
Recent Developments.- Remarks on Superconcentration and Gamma calculus.
Application to Spin Glasses.- Asymptotic behavior of Rényi entropy in
theCentral Limit Theorem.- Uniform-in-Bandwidth Functional Limit Laws for
Multivariate Empirical Processes.- Universality of Limiting Spectral
Distribution Under Projective Criteria.- Exchangeable Pairs on Wiener
Chaos.- Permanental Processes with Kernels That Are Not Equivalent to a
Symmetric Matrix.- Pointwise Properties of Martingales with Values in Banach
Function Spaces.- Concentration Inequalities for Randomly Permuted
Sums.- Uncertainty Quantification for Matrix Compressed Sensing and Quantum
Tomography Problems.- Uniform in Bandwidth Estimation of the Gradient Lines
of a Density.

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