How Long to Read Hypoelliptic Laplacian and Orbital Integrals (AM-177)

How Long Does it Take to Read Hypoelliptic Laplacian and Orbital Integrals (AM-177)?

It takes the average reader 5 hours and 47 minutes to read Hypoelliptic Laplacian and Orbital Integrals (AM-177) by Jean-Michel Bismut

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

Description

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple orbital integrals associated with the heat kernel of the Casimir operator are shown to be invariant under a suitable hypoelliptic deformation, which is constructed using the Dirac operator of Kostant. Their explicit evaluation is obtained by localization on geodesics in the symmetric space, in a formula closely related to the Atiyah-Bott fixed point formulas. Orbital integrals associated with the wave kernel are also computed. Estimates on the hypoelliptic heat kernel play a key role in the proofs, and are obtained by combining analytic, geometric, and probabilistic techniques. Analytic techniques emphasize the wavelike aspects of the hypoelliptic heat kernel, while geometrical considerations are needed to obtain proper control of the hypoelliptic heat kernel, especially in the localization process near the geodesics. Probabilistic techniques are especially relevant, because underlying the hypoelliptic deformation is a deformation of dynamical systems on the symmetric space, which interpolates between Brownian motion and the geodesic flow. The Malliavin calculus is used at critical stages of the proof.

How long is Hypoelliptic Laplacian and Orbital Integrals (AM-177)?

Hypoelliptic Laplacian and Orbital Integrals (AM-177) by Jean-Michel Bismut is 343 pages long, and a total of 86,779 words.

This makes it 116% the length of the average book. It also has 106% more words than the average book.

How Long Does it Take to Read Hypoelliptic Laplacian and Orbital Integrals (AM-177) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 54 minutes to read Hypoelliptic Laplacian and Orbital Integrals (AM-177) aloud.

What Reading Level is Hypoelliptic Laplacian and Orbital Integrals (AM-177)?

Hypoelliptic Laplacian and Orbital Integrals (AM-177) 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 Hypoelliptic Laplacian and Orbital Integrals (AM-177)?

Hypoelliptic Laplacian and Orbital Integrals (AM-177) 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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