On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows

by Grigorii A. Margulis

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...

• Format: Hardcover
• Language: English
• ISBN: 3540401210
• ISBN13: 9783540401216
• Release Date: December 2003
• Publisher: Springer
• Length: 144 Pages
• Weight: 0.73 lbs.
• Dimensions: 0.6" x 6.5" x 9.4"