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Positive Gaussian Kernels Also Have Gaussian Minimizers

Positive Gaussian Kernels Also Have Gaussian Minimizers PDF Author: Franck Barthe
Publisher: American Mathematical Society
ISBN: 1470451433
Category : Mathematics
Languages : en
Pages : 90

Book Description
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Positive Gaussian Kernels Also Have Gaussian Minimizers

Positive Gaussian Kernels Also Have Gaussian Minimizers PDF Author: Franck Barthe
Publisher: American Mathematical Society
ISBN: 1470451433
Category : Mathematics
Languages : en
Pages : 90

Book Description
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Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis PDF Author: Ronen Eldan
Publisher: Springer Nature
ISBN: 3031263006
Category : Mathematics
Languages : en
Pages : 443

Book Description
This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction from the 19th century.

Theta Functions on Varieties with Effective Anti-Canonical Class

Theta Functions on Varieties with Effective Anti-Canonical Class PDF Author: Mark Gross
Publisher: American Mathematical Society
ISBN: 1470452979
Category : Mathematics
Languages : en
Pages : 122

Book Description
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Archimedean Zeta Integrals for $GL(3)times GL(2)$

Archimedean Zeta Integrals for $GL(3)times GL(2)$ PDF Author: Miki Hirano
Publisher: American Mathematical Society
ISBN: 1470452774
Category : Mathematics
Languages : en
Pages : 136

Book Description
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Convex Geometry

Convex Geometry PDF Author: Shiri Artstein-Avidan
Publisher: Springer Nature
ISBN: 3031378830
Category : Mathematics
Languages : en
Pages : 304

Book Description
This book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021. Convex geometry is a very active area in mathematics with a solid tradition and a promising future. Its main objects of study are convex bodies, that is, compact and convex subsets of n-dimensional Euclidean space. The so-called Brunn--Minkowski theory currently represents the central part of convex geometry. The Summer School provided an introduction to various aspects of convex geometry: The theory of valuations, including its recent developments concerning valuations on function spaces; geometric and analytic inequalities, including those which come from the Lp Brunn--Minkowski theory; geometric and analytic notions of duality, along with their interplay with mass transportation and concentration phenomena; symmetrizations, which provide one of the main tools to many variational problems (not only in convex geometry). Each of these parts is represented by one of the courses given during the Summer School and corresponds to one of the chapters of the present volume. The initial chapter contains some basic notions in convex geometry, which form a common background for the subsequent chapters. The material of this book is essentially self-contained and, like the Summer School, is addressed to PhD and post-doctoral students and to all researchers approaching convex geometry for the first time.

Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case

Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case PDF Author: Jacob Bedrossian
Publisher: American Mathematical Society
ISBN: 1470472252
Category : Mathematics
Languages : en
Pages : 148

Book Description
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Cancellation for surfaces revisited

Cancellation for surfaces revisited PDF Author: H. Flenner
Publisher: American Mathematical Society
ISBN: 1470453738
Category : Mathematics
Languages : en
Pages : 124

Book Description
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Partial Compactification of Monopoles and Metric Asymptotics

Partial Compactification of Monopoles and Metric Asymptotics PDF Author: Chris Kottke
Publisher: American Mathematical Society
ISBN: 1470455412
Category : Mathematics
Languages : en
Pages : 124

Book Description
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Decorated Dyck Paths, Polyominoes, and the Delta Conjecture

Decorated Dyck Paths, Polyominoes, and the Delta Conjecture PDF Author: Michele D’Adderio
Publisher: American Mathematical Society
ISBN: 1470471574
Category : Mathematics
Languages : en
Pages : 138

Book Description
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Intrinsic Approach to Galois Theory of $q$-Difference Equations

Intrinsic Approach to Galois Theory of $q$-Difference Equations PDF Author: Lucia Di Vizio
Publisher: American Mathematical Society
ISBN: 1470453843
Category : Mathematics
Languages : en
Pages : 88

Book Description
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