عنوان

On Some Aspects of the Theory of Anosov Systems :

شابک

3662090708

شابک

9783662090701

شماره

b566987

عنوان اصلي

On Some Aspects of the Theory of Anosov Systems :

نام عام مواد

[Book]

ساير اطلاعات عنواني

With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows

نام نخستين پديدآور

by Grigoriy A. Margulis.

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg

تاریخ نشرو بخش و غیره

2004

نام خاص و کميت اثر

(vii, 142 pages)

عنوان فروست

Springer monographs in mathematics.

متن يادداشت

G. Margulis: On Some Aspects of the Theory of Anosov Systems: 1. Some Preliminaries on Anosov Flows --; 2. Behaviour of Lebesgue Measures on Leaves of ~

متن يادداشت

In this book the seminal 1970 Moscow thesis of Grigoriy A. Margulis is 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.

موضوع مستند نشده

Differentiable dynamical systems.

موضوع مستند نشده

Geometry.

موضوع مستند نشده

Mathematics.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Grigoriy A. Margulis.

مستند نام اشخاص تاييد نشده

Grigoriy A Margulis

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y