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On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: "Periodic Orbits of Hyperbolic Flows" (Springer Monographs in Mathematics) [Hardcover]

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Item description for On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: "Periodic Orbits of Hyperbolic Flows" (Springer Monographs in Mathematics) by Grigorii A. Margulis & R. Sharp...

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.





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Item Specifications...


Pages   100
Est. Packaging Dimensions:   Length: 0.5" Width: 6.25" Height: 9.25"
Weight:   0.75 lbs.
Binding  Hardcover
Release Date   Feb 12, 2004
Publisher   Springer
ISBN  3540401210  
ISBN13  9783540401216  


Availability  0 units.


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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
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5Books > Subjects > Science > History & Philosophy > Science
6Books > Subjects > Science > Mathematics > Applied > Differential Equations
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
9Books > Subjects > Science > Physics > General



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