Ebook: Stochastic Processes — Mathematics and Physics II: Proceedings of the 2nd BiBoS Symposium held in Bielefeld, West Germany, April 15–19, 1985

This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics.
Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms.

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This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics.
Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms.

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This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics.
Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms.
Content:
Front Matter....Pages -
Jump processes related to the two dimensional dirac equation....Pages 1-13
A constructive characterization of radon probability measures on infinite dimensional spaces....Pages 14-30
A "Brownian motion" with constant speed....Pages 31-35
The semi-martingale approach to the optimal resource allocation in the controlled labour-surplus economy....Pages 36-74
A central limit theorem for the laplacian in regions with many small holes....Pages 75-86
On dirichlet forms with random data—Recurrence and homogenization....Pages 87-97
A nicolai map for supersymmetric quantum mechanics on riemannian manifolds....Pages 98-105
Stochastic equations for some Euclidean fields....Pages 106-119
Percolation of the two-dimensional ising model....Pages 120-127
How do stochastic processes enter into physics?....Pages 128-137
Estimates on the difference between succeeding eigenvalues and Lifshitz tails for random Schr?dinger operators....Pages 138-151
On identification for distributed parameter systems....Pages 152-159
Fock space and probability theory....Pages 160-170
On a transformation of symmetric markov process and recurrence property....Pages 171-183
On absolute continuity of two symmetric diffusion processes....Pages 184-194
Collective phenomena in stochastic particle systems....Pages 195-232
Boundary problems for stochastic partial differential equations....Pages 233-268
Generalized one-sided stable distributions....Pages 269-287
Quantum fields, gravitation and thermodynamics....Pages 288-297
Self-repellent random walks and polymer measures in two dimensions....Pages 298-318
On the uniquness of the markovian self-adjoint extension....Pages 319-325
Representations of the group of equivariant loops in SU(N)....Pages 326-341
Proof of an algebraic central limit theorem by moment generating functions....Pages 342-347
Averaging and fluctuations of certain stochastic equations....Pages 348-355
Semimartingale with smooth density — The problem of "nodes"....Pages 356-359

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This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics.
Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms.
Content:
Front Matter....Pages -
Jump processes related to the two dimensional dirac equation....Pages 1-13
A constructive characterization of radon probability measures on infinite dimensional spaces....Pages 14-30
A "Brownian motion" with constant speed....Pages 31-35
The semi-martingale approach to the optimal resource allocation in the controlled labour-surplus economy....Pages 36-74
A central limit theorem for the laplacian in regions with many small holes....Pages 75-86
On dirichlet forms with random data—Recurrence and homogenization....Pages 87-97
A nicolai map for supersymmetric quantum mechanics on riemannian manifolds....Pages 98-105
Stochastic equations for some Euclidean fields....Pages 106-119
Percolation of the two-dimensional ising model....Pages 120-127
How do stochastic processes enter into physics?....Pages 128-137
Estimates on the difference between succeeding eigenvalues and Lifshitz tails for random Schr?dinger operators....Pages 138-151
On identification for distributed parameter systems....Pages 152-159
Fock space and probability theory....Pages 160-170
On a transformation of symmetric markov process and recurrence property....Pages 171-183
On absolute continuity of two symmetric diffusion processes....Pages 184-194
Collective phenomena in stochastic particle systems....Pages 195-232
Boundary problems for stochastic partial differential equations....Pages 233-268
Generalized one-sided stable distributions....Pages 269-287
Quantum fields, gravitation and thermodynamics....Pages 288-297
Self-repellent random walks and polymer measures in two dimensions....Pages 298-318
On the uniquness of the markovian self-adjoint extension....Pages 319-325
Representations of the group of equivariant loops in SU(N)....Pages 326-341
Proof of an algebraic central limit theorem by moment generating functions....Pages 342-347
Averaging and fluctuations of certain stochastic equations....Pages 348-355
Semimartingale with smooth density — The problem of "nodes"....Pages 356-359
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