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Topology Ergodic Theory Real Algebraic Geometry


Topology Ergodic Theory Real Algebraic Geometry
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Topology Ergodic Theory Real Algebraic Geometry


Topology Ergodic Theory Real Algebraic Geometry
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Author : Vladimir G. Turaev
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Topology Ergodic Theory Real Algebraic Geometry written by Vladimir G. Turaev 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 2001 with Mathematics categories.


This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.



Topology Ergodic Theory Real Algebraic Geometry


Topology Ergodic Theory Real Algebraic Geometry
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Author :
language : en
Publisher:
Release Date : 2001

Topology Ergodic Theory Real Algebraic Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.




Real Algebraic Varieties


Real Algebraic Varieties
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Author : Frédéric Mangolte
language : en
Publisher: Springer Nature
Release Date : 2020-09-21

Real Algebraic Varieties written by Frédéric Mangolte and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-21 with Mathematics categories.


This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert's famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter.



Nonlinear Equations And Spectral Theory


Nonlinear Equations And Spectral Theory
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Author : M. S. Birman
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Nonlinear Equations And Spectral Theory written by M. S. Birman 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 2007 with Mathematics categories.




Lie Groups And Invariant Theory


Lie Groups And Invariant Theory
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Author : Ėrnest Borisovich Vinberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Lie Groups And Invariant Theory written by Ėrnest Borisovich Vinberg 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 2005 with Computers categories.


This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.



Local Entropy Theory Of A Random Dynamical System


Local Entropy Theory Of A Random Dynamical System
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Author : Anthony H. Dooley
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-20

Local Entropy Theory Of A Random Dynamical System written by Anthony H. Dooley 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 2014-12-20 with Mathematics categories.


In this paper the authors extend the notion of a continuous bundle random dynamical system to the setting where the action of R or N is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of random continuous functions, they introduce the concept of local fiber topological pressure and establish an associated variational principle, relating it to measure-theoretic entropy. They also discuss some variants of this variational principle. The authors introduce both topological and measure-theoretic entropy tuples for continuous bundle random dynamical systems, and apply variational principles to obtain a relationship between these of entropy tuples. Finally, they give applications of these results to general topological dynamical systems, recovering and extending many recent results in local entropy theory.



Moscow Seminar On Mathematical Physics Ii


Moscow Seminar On Mathematical Physics Ii
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Author : Yu. A. Neretin
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Moscow Seminar On Mathematical Physics Ii written by Yu. A. Neretin 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 2008 with Mathematics categories.


The Institute for Theoretical and Experimental Physics (ITEP) is internationally recognized for achievements in various branches of theoretical physics. For many years, the seminars at ITEP have been among the main centers of scientific life in Moscow. This volume is a collection of articles by participants of the seminar on mathematical physics that has been held at ITEP since 1983. This is the second such collection; the first was published in the same series, AMS Translations, Series 2, vol. 191. The papers in the volume are devoted to several mathematical topics that strongly influenced modern theoretical physics. Among these topics are cohomology and representations of infinite Lie algebras and superalgebras, Hitchin and Knizhnik-Zamolodchikov-Bernard systems, and the theory of $D$-modules. The book is intended for graduate students and research mathematicians working in algebraic geometry, representation theory, and mathematical physics.



Handbook Of Knot Theory


Handbook Of Knot Theory
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Author : William Menasco
language : en
Publisher: Elsevier
Release Date : 2005-08-02

Handbook Of Knot Theory written by William Menasco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-02 with Mathematics categories.


This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics



Group Actions In Ergodic Theory Geometry And Topology


Group Actions In Ergodic Theory Geometry And Topology
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Author : Robert J. Zimmer
language : en
Publisher: University of Chicago Press
Release Date : 2019-12-23

Group Actions In Ergodic Theory Geometry And Topology written by Robert J. Zimmer and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-23 with Mathematics categories.


Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.



Selected Papers On Classical Analysis


Selected Papers On Classical Analysis
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Author : 野水克己
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Selected Papers On Classical Analysis written by 野水克己 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 2001 with Mathematics categories.


Six papers that originally appeared in the journal Sugaku in Japanese explore the general area of mathematical analysis as it pertains to free probability, based on operator algebras. They cover the free products of operator algebras and free probability theory, the dynamics of Kleinian groups and the Hausdorff dimension of limit sets, topological methods in the stability analysis of travelling waves, an extension of almost periodic functions and analyticity on flows, Painleve equations in the past century, and the Navier- Stokes equation in various function spaces. They are not indexed. c. Book News Inc.