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Book Hypoelliptic Laplacian and Orbital Integrals

Download or read book Hypoelliptic Laplacian and Orbital Integrals written by Jean-Michel Bismut and published by Princeton University Press. This book was released on 2011-08-08 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Essays on Topology and Related Topics

Download or read book Essays on Topology and Related Topics written by Andre Haefliger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Climbing Reminiscences of the Dolomites

Download or read book Climbing Reminiscences of the Dolomites written by Leone Sinigaglia and published by . This book was released on 1896 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The New People s Cyclopedia of Universal Knowledge

Download or read book The New People s Cyclopedia of Universal Knowledge written by William Harrison De Puy and published by . This book was released on 1889 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Catalog of Copyright Entries

Download or read book Catalog of Copyright Entries written by Library of Congress. Copyright Office and published by . This book was released on 1964 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Year Book

    Book Details:
  • Author : United Church of Canada
  • Publisher :
  • Release : 1987
  • ISBN :
  • Pages : 544 pages

Download or read book Year Book written by United Church of Canada and published by . This book was released on 1987 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for 1926- include index.

Book The People s Cyclopedia of Universal Knowledge

Download or read book The People s Cyclopedia of Universal Knowledge written by William Harrison De Puy and published by . This book was released on 1881 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Horn Call

Download or read book The Horn Call written by and published by . This book was released on 1971 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book American Musicological Society

Download or read book American Musicological Society written by Mark Germer and published by The AMS. This book was released on 1990 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book    A    New English Dictionary on Historical Principles

Download or read book A New English Dictionary on Historical Principles written by James Augustus Henry Murray and published by . This book was released on 1908 with total page 1660 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Authors and Subjects

Download or read book Authors and Subjects written by and published by . This book was released on 1880 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Second Catalogue of the Library of the Peabody Institute of the City of Baltimore  Including the Additions Made Since 1882

Download or read book Second Catalogue of the Library of the Peabody Institute of the City of Baltimore Including the Additions Made Since 1882 written by George Peabody Library and published by . This book was released on 1901 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Second Catalogue of the Library of the Peabody Institute of the City of Baltimore  Including the Additions Made Since 1882

Download or read book Second Catalogue of the Library of the Peabody Institute of the City of Baltimore Including the Additions Made Since 1882 written by Johns Hopkins University. Peabody Institute. Library and published by . This book was released on 1901 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Makers of America

Download or read book Makers of America written by and published by . This book was released on 1916 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book International Index to Film Periodicals

Download or read book International Index to Film Periodicals written by and published by . This book was released on 1985 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The American Printer

Download or read book The American Printer written by and published by . This book was released on 1918 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: