How Long to Read Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds

How Long Does it Take to Read Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds?

It takes the average reader 1 hour and 16 minutes to read Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds by Józef Dodziuk

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

Description

In this volume, the authors study asymptotics of the geometry and spectral theory of degenerating sequences of finite volume hyperbolic manifolds of three dimensions. Thurston's hyperbolic surgery theorem asserts the existence of non-trivial sequences of finite volume hyperbolic three manifolds which converge to a three manifold with additional cusps. In the geometric aspect of their study, the authors use the convergence of hyperbolic metrics on the thick parts of the manifolds under consideration to investigate convergence of tubes in the manifolds of the sequence to cusps of the limiting...

How long is Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds?

Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds by Józef Dodziuk is 75 pages long, and a total of 19,125 words.

This makes it 25% the length of the average book. It also has 23% more words than the average book.

How Long Does it Take to Read Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 44 minutes to read Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds aloud.

What Reading Level is Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds?

Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds is suitable for students ages 8 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 Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds?

Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds by Józef Dodziuk 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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