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Optimal Transportation Geometry and Functional Inequalities

In 2008, a school on the theory of optimal transportation and its applications took place in Pisa, with lectures by F. Barthe, W. Gangbo, F;

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The Concentration of Measure Phenomenon

is of powerful interest in applications in various areas, such as geometry, functional analysis and infinite-dimensional integration, discrete;

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Concentration Inequalities

describe the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to;

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Analytic Aspects of Convexity

developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a;

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Analytic Aspects of Convexity

developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a;

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Asymptotic Geometric Analysis

isoperimetric inequalities, optimal transportation approach * Applications of the concept of concentration * Connections with transformation groups and;

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Shape optimization and spectral theory

form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results. Much progress has been made in these;

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Functional Equations in Mathematical Analysis

equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. Functional;

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Mean Curvature Flow and Isoperimetric Inequalities

Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface;

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Comparison Finsler Geometry

This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted;

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Intelligent Transportation Systems

with optimal cost effectiveness and clarifies how transportation planning and traffic diversion principles relate to functional ITS device;

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Geometric Aspects of Functional Analysis: Israel Seminar (Gafa) 2017-2019 Volume II

order in high dimensions. Central to the text is the study of the Poincare and log-Sobolev functional inequalities, their reverses, and other;

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Geometric Aspects of Functional Analysis: Israel Seminar (Gafa) 2017-2019 Volume I

order in high dimensions. Central to the text is the study of the Poincare and log-Sobolev functional inequalities, their reverses, and other;

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The Optimal Implementation of Functional Programming Languages

explosion in reduction time. Optimal reduction is an innovative graph reduction technique for functional expressions, introduced by Lamping in 1990;

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Analysis and Geometry of Markov Diffusion Operators

of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and;

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Nonlinear Analysis, Geometry and Applications

to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation;

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Random Matrices: High Dimensional Phenomena

transportation and proves the associated functional inequalities involving entropy and information. These include the logarithmic Sobolev inequality;

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An Invitation to Statistics in Wasserstein Space

when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible;

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Lectures on Optimal Transport

functional inequalities and to partial differential equations.;

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Functional Equations and Inequalities with Applications

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic;

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Functional Equations and Inequalities with Applications

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic;

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Spectral Geometry of Partial Differential Operators

The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas;

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Functional Equations And Inequalities

of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that;

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Functional Equations And Inequalities

of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that;

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Transportation Networks and the Optimal Location of Human Activities

The relationship between the shape of transportation networks and the optimal locations and allocations of human activities is examined;

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Approximation Theory and Analytic Inequalities

, Hilbert-type inequalities, and Ulam's stability of functional equations. Contributions have been written by eminent researchers, providing up-to;

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Geometric Science of Information

into the following thematic sessions: Dimension reduction on Riemannian manifolds; optimal transport; optimal transport and applications;

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