MPG.eBooks - Table of Contents: Stochastic Equations and Differential Geometry

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Stochastic Equations and Differential Geometry

Bibliographic Details
Main Authors:	Belopolskaya, Ya.I., Dalecky, Yu.L. (Author)
Format:	eBook
Language:	English
Published:	Dordrecht Springer Netherlands 1990, 1990
Edition:	1st ed. 1990
Series:	Mathematics and its Applications, Soviet Series
Subjects:	Probability Theory Mathematical Physics Manifolds (mathematics) Differential Equations Theoretical, Mathematical And Computational Physics Global Analysis (mathematics) Global Analysis And Analysis On Manifolds Probabilities
Online Access:	https://doi.org/10.1007/978-94-009-2215-0?nosfx=y
Collection:	Springer Book Archives -2004 - Collection details see MPG.ReNa

Table of Contents:

1. Functions and Measures in Linear Spaces
1. Spaces, Mappings, Differential Operations
2. Measures and Integrals
3. Measure Differentiation
2. Functions and Measures on Smooth Manifolds
1. Smooth Manifolds and Vector Bundles
2. Bundle Section, Connections, Differential Operations
3. Hilbert and Hilbert-Schmidt Bundles
4. Measures on Smooth Manifolds
3. Stochastic Equations in Banach Spaces
1. Basic Notions
2. Stochastic Integrals for Vector and Operator Functions
3. Stochastic Equations
4. Multiplicative Functionals of Stochastic Processes
5. Stochastic Flow
4. Stochastic Equations on Smooth Manifolds
1. Stochastic Differentials
2. Stochastic Differential Equations on Manifolds
3. Stochastic Equations in Vector Bundles
5. Kolmogorov Equations
1. Backward Kolmogorov Equations
2. Quasilinear Parabolic Equations
3. Forward Kolmogorov Equations
6. Diffusion Processes on Lie Groups and Principal Fibre Bundles
1. Lie Groups and Smooth Bundles
2. Invariant Stochastic Equations
3. Stochastic Equations on Manifolds and their Solution Distribution Properties
Historical Comments
References