On Some Aspects of the Theory of Anosov Systems

On Some Aspects of the Theory of Anosov Systems
Author :
Publisher : Springer Science & Business Media
Total Pages : 144
Release :
ISBN-10 : 9783662090701
ISBN-13 : 3662090708
Rating : 4/5 (01 Downloads)

Book Synopsis On Some Aspects of the Theory of Anosov Systems by : Grigorii A. Margulis

Download or read book On Some Aspects of the Theory of Anosov Systems written by Grigorii A. Margulis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seminal 1970 Moscow thesis of Grigoriy A. Margulis, published for the first time. Entitled "On Some Aspects of the Theory of Anosov Systems", it uses ergodic theoretic techniques to study the distribution of periodic orbits of Anosov flows. The thesis introduces the "Margulis measure" and uses it to obtain a precise asymptotic formula for counting periodic orbits. This has an immediate application to counting closed geodesics on negatively curved manifolds. The thesis also contains asymptotic formulas for the number of lattice points on universal coverings of compact manifolds of negative curvature. The thesis is complemented by a survey by Richard Sharp, discussing more recent developments in the theory of periodic orbits for hyperbolic flows, including the results obtained in the light of Dolgopyat's breakthroughs on bounding transfer operators and rates of mixing.


On Some Aspects of the Theory of Anosov Systems Related Books

On Some Aspects of the Theory of Anosov Systems
Language: en
Pages: 144
Authors: Grigorii A. Margulis
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The seminal 1970 Moscow thesis of Grigoriy A. Margulis, published for the first time. Entitled "On Some Aspects of the Theory of Anosov Systems", it uses ergodi
Mathematics of Complexity and Dynamical Systems
Language: en
Pages: 1885
Authors: Robert A. Meyers
Categories: Mathematics
Type: BOOK - Published: 2011-10-05 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical syste
Ergodic Theory
Language: en
Pages: 707
Authors: Cesar E. Silva
Categories: Mathematics
Type: BOOK - Published: 2023-07-31 - Publisher: Springer Nature

DOWNLOAD EBOOK

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including th
Elementary and Analytic Theory of Algebraic Numbers
Language: en
Pages: 712
Authors: Wladyslaw Narkiewicz
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theor
Dynamics, Geometry, Number Theory
Language: en
Pages: 573
Authors: David Fisher
Categories: Mathematics
Type: BOOK - Published: 2022-02-07 - Publisher: University of Chicago Press

DOWNLOAD EBOOK

This definitive synthesis of mathematician Gregory Margulis’s research brings together leading experts to cover the breadth and diversity of disciplines Margu