Approaching The Kannan Lov Sz Simonovits And Variance Conjectures

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Combinatorics Geometry And Probability
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Author : Béla Bollobás
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-22
Combinatorics Geometry And Probability written by Béla Bollobás and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-22 with Mathematics categories.
A panorama of combinatorics by the world's experts.
Polytopes
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Author : Tibor Bisztriczky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Polytopes written by Tibor Bisztriczky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes. For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels.
Building Bridges
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Author : Martin Grötschel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-04
Building Bridges written by Martin Grötschel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-04 with Computers categories.
This collection of articles offers an excellent view on the state of combinatorics and related topics. A number of friends and colleagues, all top authorities in their fields of expertise have contributed their latest research papers to this volume.
The Volume Of Convex Bodies And Banach Space Geometry
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-27
The Volume Of Convex Bodies And Banach Space Geometry written by Gilles Pisier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-27 with Mathematics categories.
A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.
Geometry Of Isotropic Convex Bodies
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Author : Silouanos Brazitikos
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-04-24
Geometry Of Isotropic Convex Bodies written by Silouanos Brazitikos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-24 with Mathematics categories.
The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely linked to many other fields, such as probability theory, partial differential equations, Riemannian geometry, harmonic analysis and combinatorics. It is now understood that the convexity assumption forces most of the volume of a high-dimensional convex body to be concentrated in some canonical way and the main question is whether, under some natural normalization, the answer to many fundamental questions should be independent of the dimension. The aim of this book is to introduce a number of well-known questions regarding the distribution of volume in high-dimensional convex bodies, which are exactly of this nature: among them are the slicing problem, the thin shell conjecture and the Kannan-Lovász-Simonovits conjecture. This book provides a self-contained and up to date account of the progress that has been made in the last fifteen years.
Surveys In Combinatorics 1991
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Author : A. D. Keedwell
language : en
Publisher: Cambridge University Press
Release Date : 1991
Surveys In Combinatorics 1991 written by A. D. Keedwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
This volume contains the invited papers presented at the British Combinatorial Conference, held at the University of Surrey in July 1991. As in previous years, the speakers were mathematicians of the highest quality who spanned the subject area, and their papers will provide excellent reading for all those interested in combinatorics.
Communication Complexity
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Author : Eyal Kushilevitz
language : en
Publisher: Cambridge University Press
Release Date : 1997
Communication Complexity written by Eyal Kushilevitz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.
Sparse Solutions Of Underdetermined Linear Systems And Their Applications
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Author : Ming-Jun Lai
language : en
Publisher: SIAM
Release Date : 2021-06-25
Sparse Solutions Of Underdetermined Linear Systems And Their Applications written by Ming-Jun Lai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-25 with Mathematics categories.
This textbook presents a special solution to underdetermined linear systems where the number of nonzero entries in the solution is very small compared to the total number of entries. This is called a sparse solution. Since underdetermined linear systems can be very different, the authors explain how to compute a sparse solution using many approaches. Sparse Solutions of Underdetermined Linear Systems and Their Applications contains 64 algorithms for finding sparse solutions of underdetermined linear systems and their applications for matrix completion, graph clustering, and phase retrieval and provides a detailed explanation of these algorithms including derivations and convergence analysis. Exercises for each chapter help readers understand the material. This textbook is appropriate for graduate students in math and applied math, computer science, statistics, data science, and engineering. Advisors and postdoctoral scholars will also find the book interesting and useful.
Proceedings Of The International Congress Of Mathematicians August 21 29 1990 Kyoto Japan
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Author : Ichirō Satake
language : en
Publisher:
Release Date : 1991
Proceedings Of The International Congress Of Mathematicians August 21 29 1990 Kyoto Japan written by Ichirō Satake and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematicians categories.
Analysis Of Boolean Functions
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Author : Ryan O'Donnell
language : en
Publisher: Cambridge University Press
Release Date : 2014-06-05
Analysis Of Boolean Functions written by Ryan O'Donnell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-05 with Computers categories.
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.