Seminar on Complex Multiplication: 1720 - Brossura

Borel, A.

Brossura

ISBN 10: 3540667083 ISBN 13: 9783540667087

Casa editrice: Springer, 2000

Riassunto

Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. This should be useful to stochastic analysts, especially those with interests in stochastic flows, infinite dimensional analysis, or geometric analysis, and also to researchers in sub-Riemannian geometry. A basic background in differential geometry is assumed, but the construction of the connections is very direct and itself gives an intuitive and concrete introduction. Knowledge of stochastic analysis is also assumed for later chapters.

Su questo libro

Contenuti

Construction of connections.- The infinitesimal generators and associated operators.- Decomposition of noise and filtering.- Application: Analysis on spaces of paths.- Stability of stochastic dynamical systems.- Appendices.

Product Description

Book by Elworthy KD Le Jan Y Li XueMei

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 3540667083
• ISBN 13: 9783540667087
• Rilegatura: Copertina flessibile
• Numero di pagine: 112
• Contatto del produttore: non disponibile