How Long to Read Equilibrium States in Negative Curvature

How Long Does it Take to Read Equilibrium States in Negative Curvature?

It takes the average reader 4 hours and 42 minutes to read Equilibrium States in Negative Curvature by Barbara Schapira

Assuming a reading speed of 250 words per minute. Learn more

Description

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

How long is Equilibrium States in Negative Curvature?

Equilibrium States in Negative Curvature by Barbara Schapira is 281 pages long, and a total of 70,531 words.

This makes it 95% the length of the average book. It also has 86% more words than the average book.

How Long Does it Take to Read Equilibrium States in Negative Curvature Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 25 minutes to read Equilibrium States in Negative Curvature aloud.

What Reading Level is Equilibrium States in Negative Curvature?

Equilibrium States in Negative Curvature is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Equilibrium States in Negative Curvature?

Equilibrium States in Negative Curvature by Barbara Schapira is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Equilibrium States in Negative Curvature by Barbara Schapira on Amazon click the button below.