{"product_id":"9783540401216","title":"Springer Monographs in Mathematics: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows","description":"\u003ch1\u003eSpringer Monographs in Mathematics: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows\u003c\/h1\u003e \u003ch2\u003eMargulis, Grigorii A.; Sharp, Richard\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn 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. \u003c\/p\u003e\n\u003cp\u003eThe 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. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2003-12-03\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540401216\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-662-09070-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 144\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44521573449868,"sku":"9783540401216","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540401216.jpg?v=1775705797","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540401216","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}