Ebook: Stochastic Processes and their Applications: in Mathematics and Physics

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Content:
Front Matter....Pages i-xiii
Stochastic Stability for Vector Fields with a Manifold of Singular Points, and an Application to Lattice Gauge Theory....Pages 1-20
Ricci Curvature and Dimension for Diffusion Semigroups....Pages 21-31
The Zitterbewegung of a Dirac Electron in a Central Field....Pages 33-51
Maximum Entropy Principles for Markov Processes....Pages 53-69
An Optimal Carleman-Type Inequality for the Dirac Operator....Pages 71-94
Toeplitz Operators — An Asymptotic Quantization of Symplectic Cones....Pages 95-106
Perturbation Theory for Random Disordered Systems....Pages 107-122
On rigorous Hydrodynamics, Self-diffusion and the Green-Kubo formulae....Pages 123-147
A Stochastic Model for Plasma Dynamics....Pages 149-152
Macroscopic Potentials of Dissipative Dynamical Systems....Pages 153-175
Random-Path Intersections in Geometry, Probability and Physics....Pages 177-186
Noncommutative Version of The Central Limit Theorem and of Cram?r’s Theorem....Pages 187-202
Distributions, Sobolev Spaces on Gaussian Vector Spaces and Ito’s Calculus....Pages 203-225
On Problems in Stochastic Differential Equations Connected with Some Particular Type of Interacting Particles....Pages 227-244
Asymptotic behaviors of moments for one-dimensional generalized diffusion processes....Pages 245-273
Langevin Equation and Fluctuation-Dissipation Theorem....Pages 275-299
The Dirichlet Problem for Quasi-Linear Partial Differential Operators with Boundary Data Given by a Distribution....Pages 301-326
Stationary Stochastic Perturbation of a Linear Delay Equation....Pages 327-332
Random Lattice Models....Pages 333-356
Interactions Galileennes Aimant-Charge....Pages 357-373
The Polaron Functional Integral....Pages 375-387
The Bosonic String....Pages 389-402

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Content:
Front Matter....Pages i-xiii
Stochastic Stability for Vector Fields with a Manifold of Singular Points, and an Application to Lattice Gauge Theory....Pages 1-20
Ricci Curvature and Dimension for Diffusion Semigroups....Pages 21-31
The Zitterbewegung of a Dirac Electron in a Central Field....Pages 33-51
Maximum Entropy Principles for Markov Processes....Pages 53-69
An Optimal Carleman-Type Inequality for the Dirac Operator....Pages 71-94
Toeplitz Operators — An Asymptotic Quantization of Symplectic Cones....Pages 95-106
Perturbation Theory for Random Disordered Systems....Pages 107-122
On rigorous Hydrodynamics, Self-diffusion and the Green-Kubo formulae....Pages 123-147
A Stochastic Model for Plasma Dynamics....Pages 149-152
Macroscopic Potentials of Dissipative Dynamical Systems....Pages 153-175
Random-Path Intersections in Geometry, Probability and Physics....Pages 177-186
Noncommutative Version of The Central Limit Theorem and of Cram?r’s Theorem....Pages 187-202
Distributions, Sobolev Spaces on Gaussian Vector Spaces and Ito’s Calculus....Pages 203-225
On Problems in Stochastic Differential Equations Connected with Some Particular Type of Interacting Particles....Pages 227-244
Asymptotic behaviors of moments for one-dimensional generalized diffusion processes....Pages 245-273
Langevin Equation and Fluctuation-Dissipation Theorem....Pages 275-299
The Dirichlet Problem for Quasi-Linear Partial Differential Operators with Boundary Data Given by a Distribution....Pages 301-326
Stationary Stochastic Perturbation of a Linear Delay Equation....Pages 327-332
Random Lattice Models....Pages 333-356
Interactions Galileennes Aimant-Charge....Pages 357-373
The Polaron Functional Integral....Pages 375-387
The Bosonic String....Pages 389-402
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