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.
Download or read book Jean Renart s le Lai de L Ombre written by Jean Renart and published by Summa Publications, Inc.. This book was released on 1986 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book The New People s Cyclopedia of Universal Knowledge written by and published by . This book was released on 1887 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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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:
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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.
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:
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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:
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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:
Download or read book Hebrew Bible Old Testament The History of Its Interpretation written by Magne Sæbø and published by Vandenhoeck & Ruprecht. This book was released on 2008-01-23 with total page 1249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieser Band setzt das große internationale Standardwerk zur Rezeption der Hebräischen Bibel/des Alten Testaments, das christliche und jüdische Fachleute aus der ganzen Welt vereint, fort. Es stellt die alttestamentliche Exegese von den Anfängen innerbiblischer Schriftdeutung bis zur gegenwärtigen Forschung umfassend dar. Dieser Band widmet sich der Zeitspanne zwischen Renaissance und Aufklärung (1300–1800).
Download or read book Index catalogue of the Library of the Surgeon General s Office United States Army written by Library of the Surgeon-General's Office (U.S.) and published by . This book was released on 1884 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Language Notes written by and published by . This book was released on 1890 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: