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Titlebook: Topological Dimension and Dynamical Systems; Michel Coornaert Textbook 2015 Springer International Publishing Switzerland 2015 Amenable Gr

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发表于 2025-3-21 18:25:29 | 显示全部楼层 |阅读模式
书目名称Topological Dimension and Dynamical Systems
编辑Michel Coornaert
视频video
概述Provides an accessible introduction to difficult material previously only found scattered in literature.Provides a detailed exposition of the elements of dimension theory for topological spaces and dy
丛书名称Universitext
图书封面Titlebook: Topological Dimension and Dynamical Systems;  Michel Coornaert Textbook 2015 Springer International Publishing Switzerland 2015 Amenable Gr
描述.Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts..A large number of revisions and additions have been made to the original text. Chapter 5 contains an entirely new section devoted to the Sorgenfrey line. Two chapters have also been added: Chapter 9 on amenable groups and Chapter 10 on mean topological dimension for continuous actions of countable amenable groups. These new chapters contain material that have never before appeared in textbook form. The chapter on amenable groups is based on Følner’s characterization of amenability and may be read independently from the rest of the book..Although the contents of this book lead directly to several active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-se
出版日期Textbook 2015
关键词Amenable Group; Benjamin Weiss; Covering Dimension; Dynamical Systems; Elon Lindenstrauss; Mean Topologic
版次1
doihttps://doi.org/10.1007/978-3-319-19794-4
isbn_softcover978-3-319-19793-7
isbn_ebook978-3-319-19794-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 21:53:42 | 显示全部楼层
ngs of this School, publis­ hed in early 1985, is still used as a standard reference covering the basic development of the theory and applications in atomic, molecular, solid state and nuclear physics. Ho­ wever, astonishing progress has been achieved in the intervening years: The foundations of the
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发表于 2025-3-22 05:50:02 | 显示全部楼层
Michel Coornaertethod. The Thomas–Fermi method, which is the first form of DFT, is first explained, focusing on the local density approximation of kinetic and exchange energy density functionals, in Sect.4.1. Then, the Hohenberg–Kohn theorem, which is the basic theory of DFT, is reviewed, with a mention of the cons
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发表于 2025-3-22 13:19:35 | 显示全部楼层
Michel Coornaertup van der Waals series of Perdew et al. 2012 works well and is asymptotically correct at large separation between two atoms. However, as with the Hamaker 1937 expression, it has a strong singularity at short non-zero separation, where the two atoms touch. In this work we remove that singularity (an
发表于 2025-3-22 18:04:47 | 显示全部楼层
发表于 2025-3-23 01:11:18 | 显示全部楼层
Michel Coornaertsystem of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classica
发表于 2025-3-23 03:15:48 | 显示全部楼层
Michel Coornaert in atomic physics with a minimum amount of formulas.ComprehWritten in a clear pedagogic style, this book deals with the application of density matrix theory to atomic and molecular physics. The aim is to precisely characterize sates by a vector and to construct general formulas and proofs of genera
发表于 2025-3-23 08:03:46 | 显示全部楼层
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