دانلود کتاب Equilibrium States in Negative Curvature

Name: Equilibrium States in Negative Curvature
Availability: InStock
Author: Frederic Paulin
ISBN: 2856298184,9782856298183

by Frederic Paulin, Mark Pollicott, Barbara Schapira

عنوان فارسی: تعادل متحده در انحنای منفی
ناشر: Societe Mathematique De France
سال: 2015
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 289-294
شابک: 2856298184,9782856298183
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 3.17 مگابایت

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جزییات کتاب

With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We develop a framework (through Patterson-Sullivan densities) allowing us to get rid of compactness assumptions on the manifold, and prove many existence, uniqueness and finiteness results of Gibbs measures. We give many applications, to the Variational Principle, the counting and equidistribution of orbit points and periods, the unique ergodicity of the strong unstable foliation and the classification of Gibbs densities on some Riemannian covers.