How Long to Read The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)

How Long Does it Take to Read The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)?

It takes the average reader 6 hours and 27 minutes to read The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) by Jean-Michel Bismut

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

Description

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus, which provides estimates on the hypoelliptic Laplacian's resolvent. When the deformation parameter tends to zero, the hypoelliptic Laplacian converges to the standard Hodge Laplacian of the base by a collapsing argument in which the fibers of the cotangent bundle collapse to a point. For the local index theory, small time asymptotics for the supertrace of the associated heat kernel are obtained. The Ray-Singer analytic torsion of the hypoelliptic Laplacian as well as the associated Ray-Singer metrics on the determinant of the cohomology are studied in an equivariant setting, resulting in a key comparison formula between the elliptic and hypoelliptic analytic torsions.

How long is The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)?

The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) by Jean-Michel Bismut is 377 pages long, and a total of 96,889 words.

This makes it 127% the length of the average book. It also has 118% more words than the average book.

How Long Does it Take to Read The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 49 minutes to read The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) aloud.

What Reading Level is The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)?

The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) 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 Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)?

The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) by Jean-Michel Bismut 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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