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On Some Aspects of the Theory of Anosov Systems

  • Kartonierter Einband
  • 152 Seiten
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In this book the seminal 1970 Moscow thesis of Grigoriy A. Margulis is published for the first time. Entitled "On Some Aspects of ... Weiterlesen
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Beschreibung

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.



The 1970 Moscow thesis of G. Margulis is published for the first time in English language

Complemented by a survey by R. Sharp, discussing more recent developments in the theory of periodic orbits and hyperbolic flows



Inhalt
On Some Aspects of the Theory of Anosov Systems.- Periodic Orbits of Hyperbolic Flows.

Produktinformationen

Titel: On Some Aspects of the Theory of Anosov Systems
Untertitel: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows
Autor:
Kommentiert von:
EAN: 9783642072642
ISBN: 364207264X
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Genre: Mathematik
Anzahl Seiten: 152
Gewicht: 242g
Größe: H235mm x B155mm x T8mm
Jahr: 2010
Auflage: Softcover reprint of hardcover 1st ed. 2004

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