Grigorii A Margulis

(Author)

On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic FlowsPaperback, 21 October 2010

On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows
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Part of Series
Springer Monographs in Mathematics
Print Length
144 pages
Language
English
Publisher
Springer
Date Published
21 Oct 2010
ISBN-10
364207264X
ISBN-13
9783642072642

Description

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.

Product Details

Author:
Grigorii A Margulis
Book Format:
Paperback
Country of Origin:
NL
Date Published:
21 October 2010
Dimensions:
23.39 x 15.6 x 0.84 cm
ISBN-10:
364207264X
ISBN-13:
9783642072642
Language:
English
Location:
Berlin, Heidelberg
Pages:
144
Publisher:
Weight:
222.26 gm

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