On the Geometry of Diffusion Operators and Stochastic Flows,9783540667087

On the Geometry of Diffusion Operators and Stochastic Flows

by ; ;
ISBN13: 9783540667087
ISBN10: 3540667083
Format: Paperback
Pub. Date: 1999-12-01
Publisher(s): Springer Verlag
List Price: $39.95

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Summary

This book constitutes the refereed proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery, DGCI'99 held in Marne-la-Vallee, France in March 1999. The 24 revised full papers presented were selected from a total of 41 submissions. Also included are four invited papers and seven poster presentations. The volume is divided in topical sections on discrete objects and shapes, planes, surfaces, reconstruction, topology, distance and object recognition, thinning, discretization and visualization.

Table of Contents

Introduction 3(7)
Construction of connections
7(23)
Construction of connections
7(7)
Basic Classes of Examples
14(4)
Adjoint connections, torsion skew symmetry, basic formulae
18(8)
Example: Homogeneous spaces continued
26(4)
The infinitesimal generators and associated operators
30(27)
The irrelevance of drift in dimension greater than 1
30(5)
Torsion Skew Symmetry
35(2)
The `divergence operator' δ
37(5)
Hormander form generators on differential forms
42(5)
On the infinitesimal generator
47(10)
Example
47(2)
Symmetricity of the generator Aq
49(8)
Decomposition of noise and filtering
57(19)
A canonical decomposition of the noise driving a stochastic differential equation
57(3)
Canonical decomposition of the Gaussian field Wt
60(3)
Filtering out redundant noise
63(13)
When A does not belong to the image of X
69(3)
The inverse derivative flow
72(1)
Integrability of certain Cr norms for compact M
72(1)
The semigroup on forms: Bochner type vanishing theorems
73(2)
Bismut formulae
75(1)
Application: Analysis on spaces of paths
76(11)
Integration by parts and Clark-Ocone formulae
78(4)
Logarithmic Sobolev Inequality
82(1)
Analysis on Cid(DiffM)
83(4)
Stability of stochastic dynamical systems
87(8)
Appendices
95(1)
Universal Connections as L-W connection
95(6)
Creation and Annihilation operators (notation for section 2.4)
101(2)
Basic formulae
103(9)
List of notation
109

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