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The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
Jean-Michel Bismut
€ 77.29
€ 59.90
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Description for The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
Paperback. Presents the analytic foundations to the theory of the hypoelliptic Laplacian. This book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. It gives the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus. Series: Annals of Mathematics Studies. Num Pages: 376 pages, 4 line illus. BIC Classification: PBMS; PBMW. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 229 x 152 x 19. Weight in Grams: 514.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2008
Publisher
Princeton University Press United States
Number of pages
378
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
376
Place of Publication
New Jersey, United States
ISBN
9780691137322
SKU
V9780691137322
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Jean-Michel Bismut
Jean-Michel Bismut is professor of mathematics at the University of Paris-Sud. Gilles Lebeau is professor of mathematics at the University of Nice Sophia-Antipolis.
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