Ebook: Stochastic Analysis and Applications: Proceedings of the 1989 Lisbon Conference
- Tags: Probability Theory and Stochastic Processes, Applications of Mathematics
- Series: Progress in Probability 26
- Year: 1991
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
At the end of the summer 1989, an international conference on stochastic analysis and related topics was held for the first time in Lisbon (Portu gal). This meeting was made possible with the help of INIC and JNICT, two organizations devoted to the encouragement of scientific research in Portugal. The meeting was interdiciplinary since mathematicians and mathematical physicists from around the world were invited to present their recent works involving probability theory, analysis, geometry and physics, a wide area of cross fertilization in recent years. Portuguese scientific research is expanding fast, these days, faster, some times, than the relevant academic structures. The years to come will be determinant for the orientation of those young Portuguese willing to take an active part in the international scientific community. Lisbon's summer 89 meeting should initiate a new Iberic tradition, attrac tive both for these researchers to be and, of course, for the selected guests. Judging by the quality of contributions collected here, it is not unrealistic to believe that a tradition of "southern randomness" may well be established.
Content:
Front Matter....Pages ii-viii
Conformally Invariant Random Fields and Processes—Old and New....Pages 1-10
Diffusion Processes with singular Dirichlet forms....Pages 11-28
Geometric Quantization on Wiener Manifolds....Pages 29-51
Heat Kernels on Lie Groups....Pages 52-62
Weak Sobolev Inequalities....Pages 63-81
Feynman’s Functional Calculus and Stochastic Calculus of Variations....Pages 82-95
Manifolds and Graphs with Mostly Positive Curvatures....Pages 96-110
The Thom Class of Mathai and Quillen and Probability Theory....Pages 111-122
The General Mathematical Framework of Euclidean Quantum Mechanics, an Outline....Pages 123-143
Naturality of Quasi-Invariance of Some Measures....Pages 144-154
Stochastic Differential Equations with Boundary Conditions....Pages 155-175
Sobolev Inequalities and Polynomial Decay of Convolution Powers and Random Walks....Pages 176-189
Microcanonical Distributions for one Dimensional Lattice Gases....Pages 190-197
Content:
Front Matter....Pages ii-viii
Conformally Invariant Random Fields and Processes—Old and New....Pages 1-10
Diffusion Processes with singular Dirichlet forms....Pages 11-28
Geometric Quantization on Wiener Manifolds....Pages 29-51
Heat Kernels on Lie Groups....Pages 52-62
Weak Sobolev Inequalities....Pages 63-81
Feynman’s Functional Calculus and Stochastic Calculus of Variations....Pages 82-95
Manifolds and Graphs with Mostly Positive Curvatures....Pages 96-110
The Thom Class of Mathai and Quillen and Probability Theory....Pages 111-122
The General Mathematical Framework of Euclidean Quantum Mechanics, an Outline....Pages 123-143
Naturality of Quasi-Invariance of Some Measures....Pages 144-154
Stochastic Differential Equations with Boundary Conditions....Pages 155-175
Sobolev Inequalities and Polynomial Decay of Convolution Powers and Random Walks....Pages 176-189
Microcanonical Distributions for one Dimensional Lattice Gases....Pages 190-197
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