Seminar on Complex Multiplication: 1720 (Lecture Notes in Mathematics, 1720) - Tapa blanda

Borel, A.

 
9783540667087: Seminar on Complex Multiplication: 1720 (Lecture Notes in Mathematics, 1720)
Tapa blanda
ISBN 10: 3540667083 ISBN 13: 9783540667087
Editorial: Springer, 2000

Sinopsis

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.

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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2000
Idioma
Inglés
ISBN 10 
3540667083
ISBN 13 
9783540667087
Encuadernación
Tapa blanda
Número de páginas
112
Contacto del fabricante
no disponible
Persona responsable
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