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Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27

The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), will be forthcoming.;

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Mean Curvature Flow and Isoperimetric Inequalities

equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help;

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Isoperimetric Inequalities

This introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact;

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Isoperimetric Inequalities

This introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact;

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Geometric Properties for Parabolic and Elliptic PDE's

-Minkowski inequalities, Sobolev inequalities, and isoperimetric inequalities.;

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Nonlinear Potential Theory and Weighted Sobolev Spaces

embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated;

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Topics in Geometric Inequalities

, Level Curves, the Erdoes-Mordell and Brunn-Minkowski Inequalities, as well as the Isoperimetric Theorem, to name a few. Rich theory and;

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Symmetrization And Applications

The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential;

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Survey Of Minimal Surfaces

conjectures in relativity and topology. Other enlargements include updated work on Plateau's problem and isoperimetric inequalities as well as a new;

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Concentration of Measure for the Analysis of Randomized Algorithms

and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log;

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Concentration of Measure for the Analysis of Randomized Algorithms

and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log;

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The Concentration of Measure Phenomenon

The observation of the concentration of measure phenomenon is inspired by isoperimetric inequalities. A familiar example is the way the;

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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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Concentration Inequalities

Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great;

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Concerning the Geodesic Curvature and the Isoperimetric Problem on a Given Surface

Reprint of the original, first published in 1902.;...

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Probability on Trees and Networks

. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities;

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Probability on Trees and Networks

. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities;

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Global Methods for Combinatorial Isoperimetric Problems

Certain constrained combinatorial optimization problems have a natural analogue in the continuous setting of the classical isoperimetric;

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Random Walks and Heat Kernels on Graphs

of isoperimetric and Poincare inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these;

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Functional Analysis

, the isoperimetric inequality and the Polya-Szego and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a;

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Comparison Finsler Geometry

Ricci curvature into the Finsler setting, the author systematically derives the fundamental geometric and analytic inequalities in the Finsler;

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Cambridge Studies in Advanced Mathematics

Certain constrained combinatorial optimization problems have a natural analogue in the continuous setting of the classical isoperimetric;

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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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A Graph Theoretic Approach to Heterogeneous Data Clustering

present a novel graph theoretic approach to perform pairwise heterogeneous data co-clustering. We then propose Isoperimetric Co-clustering;

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Matrix Inequalities

As may be inferred from the title, "Matrix Inequalities," various topics such as matrix inequalities involving Hadamard product, convex;

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New Trends in Approximation Theory

connections with important contemporary areas of Analysis. Primary topics discussed include application of approximation theory (isoperimetric;

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Weighted Inequalities of Hardy Type

Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book;

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