How Long to Read The Spectrum of Hyperbolic Surfaces

How Long Does it Take to Read The Spectrum of Hyperbolic Surfaces?

It takes the average reader 6 hours and 10 minutes to read The Spectrum of Hyperbolic Surfaces by Nicolas Bergeron

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

Description

This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in proving the Selberg trace formula. Along with important number theoretic applications, the author exhibits applications of these tools to the spectral statistics of the Laplacian and the quantum unique ergodicity property. The latter refers to the arithmetic quantum unique ergodicity theorem, recently proved by Elon Lindenstrauss. The fruit of several graduate level courses at Orsay and Jussieu, The Spectrum of Hyperbolic Surfaces allows the reader to review an array of classical results and then to be led towards very active areas in modern mathematics.

How long is The Spectrum of Hyperbolic Surfaces?

The Spectrum of Hyperbolic Surfaces by Nicolas Bergeron is 370 pages long, and a total of 92,500 words.

This makes it 125% the length of the average book. It also has 113% more words than the average book.

How Long Does it Take to Read The Spectrum of Hyperbolic Surfaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 25 minutes to read The Spectrum of Hyperbolic Surfaces aloud.

What Reading Level is The Spectrum of Hyperbolic Surfaces?

The Spectrum of Hyperbolic Surfaces 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 The Spectrum of Hyperbolic Surfaces?

The Spectrum of Hyperbolic Surfaces by Nicolas Bergeron is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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