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Stochastic partial differential equations / edited by Alison Etheridge.

Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 216.Publication details: Cambridge ; New York : Cambridge University Press, 1995.Description: 1 online resource (x, 337 pages :) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107362161
  • 1107362164
  • 0511526210
  • 9780511526213
Subject(s): Genre/Form: Additional physical formats: Print version:: Stochastic partial differential equations.DDC classification:
  • 515/.353 23
LOC classification:
  • QA274.25 .S74 1995eb
Online resources:
Contents:
Stochastic differential equations with boundary conditions and the change of measure method / Aureli Alabert -- The Martin boundary of the Brownian sheet / Oliver Brockhaus -- Neocompact sets and stochastic Navier-Stokes equations / Nigel Cutland and H. Jerome Keisler -- Numerical experiments with S(P)DE's / J.G. Gaines -- Contour processes of random trees / J.J. Geiger -- On a class of quasilinear stochastic differential equations of parabolic type: regular dependence of solutions on initial data / N. Yu. Goncharuk -- Fluctuations of a two-level critical branching system / Luis G. Gorostiza -- Non-persistence of two-level branching particle systems in low dimensions / Kenneth J. Hochberg and Anton Wakolbinger -- The Stochastic Wick-type Burgers equation / H. Holden [and others] -- A Weak interaction epidemic among diffusing particles / Ingemar Kaj -- Noise and dynamic transitions / G.D. Lythe -- Backward stochastic differential equations and quasilinear partial differential equations / Xuerong Mao -- Path integrals and finite dimensional filters / Steve Maybank -- A Skew product representation for the generator of a two sex population model / Joachim Rebholz -- A Nonlinear hyperbolic SPDE: approximations and support / C. Rovira and M. Sanz-Solé -- Statistical dynamics with thermal noise / R.F. Streater -- Stochastic Hamilton-Jacobi equations / A. Truman and H. Zhao -- On backward filtering equations for SDE systems (direct approach) / A.Y. Veretennikov -- Ergodicity of Markov semigroups / B. Zegarlinski.
Summary: Stochastic partial differential equations can be used in many areas of science to model complex systems that evolve over time. Their analysis is currently an area of much research interest. This book consists of papers given at the ICMS Edinburgh meeting held in 1994 on this topic, and it brings together some of the world's best known authorities on stochastic partial differential equations. Subjects covered include the stochastic Navier–Stokes equation, critical branching systems, population models, statistical dynamics, and ergodic properties of Markov semigroups. For all workers on stochastic partial differential equations this book will have much to offer.
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Papers from a workshop held at the University of Edinburgh in March 1994.

Includes bibliographical references.

Print version record.

Stochastic differential equations with boundary conditions and the change of measure method / Aureli Alabert -- The Martin boundary of the Brownian sheet / Oliver Brockhaus -- Neocompact sets and stochastic Navier-Stokes equations / Nigel Cutland and H. Jerome Keisler -- Numerical experiments with S(P)DE's / J.G. Gaines -- Contour processes of random trees / J.J. Geiger -- On a class of quasilinear stochastic differential equations of parabolic type: regular dependence of solutions on initial data / N. Yu. Goncharuk -- Fluctuations of a two-level critical branching system / Luis G. Gorostiza -- Non-persistence of two-level branching particle systems in low dimensions / Kenneth J. Hochberg and Anton Wakolbinger -- The Stochastic Wick-type Burgers equation / H. Holden [and others] -- A Weak interaction epidemic among diffusing particles / Ingemar Kaj -- Noise and dynamic transitions / G.D. Lythe -- Backward stochastic differential equations and quasilinear partial differential equations / Xuerong Mao -- Path integrals and finite dimensional filters / Steve Maybank -- A Skew product representation for the generator of a two sex population model / Joachim Rebholz -- A Nonlinear hyperbolic SPDE: approximations and support / C. Rovira and M. Sanz-Solé -- Statistical dynamics with thermal noise / R.F. Streater -- Stochastic Hamilton-Jacobi equations / A. Truman and H. Zhao -- On backward filtering equations for SDE systems (direct approach) / A.Y. Veretennikov -- Ergodicity of Markov semigroups / B. Zegarlinski.

Stochastic partial differential equations can be used in many areas of science to model complex systems that evolve over time. Their analysis is currently an area of much research interest. This book consists of papers given at the ICMS Edinburgh meeting held in 1994 on this topic, and it brings together some of the world's best known authorities on stochastic partial differential equations. Subjects covered include the stochastic Navier–Stokes equation, critical branching systems, population models, statistical dynamics, and ergodic properties of Markov semigroups. For all workers on stochastic partial differential equations this book will have much to offer.

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