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Titlebook: Stochastic Analysis and Applications in Physics; Ana Isabel Cardoso,Margarida Faria,Ludwig Streit Book 1994 Springer Science+Business Medi

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https://doi.org/10.1007/978-94-011-0219-3Brownian motion; Dirichlet form; Markov chain; Markov process; mechanics
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978-94-010-4098-3Springer Science+Business Media Dordrecht 1994
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Infinite Dimensional Diffusions, Markov Fields, Quantum Fields and Stochastic Quantization,We give a survey of recent results relating infinite dimensional diffusions with stochastic partial differential equations. We also present applications to the theory of (homogeneous) Markov fields, quantum fields, stochastic quantization as well as Gibbs fields and lattice models of classical and quantum statistical mechanics.
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Burgers Equation Forced by Conservative or Nonconservative Noise,We consider the forced Burgers equation in one space dimension.where ..(.) is a scalar field, . ≥ 0 and . ∈ .., ..(.) the forcing term, . the viscosity and . the strength of the noise.
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Statistical Properties of Piecewise Expanding Maps of the Interval,We give a brief introduction to the stochastic properties of expanding maps of the interval using the transfer operator method. We also describe recent results about the statistics of entrance times and times of visits to small intervals.
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Analysis on Loop Groups,This paper surveys some recent results on Schrödinger operators over loop groups.
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