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Parabolic Anderson Problem and Intermittency
René A. Carmona and S. A. Molchanov
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Memoirs of the American Mathematical Society
1994; 125 pp; softcover
Volume: 108
ISBN-10: 0-8218-2577-1
ISBN-13: 978-0-8218-2577-8
List Price: US$40
Individual Members: US$24
Institutional Members: US$32
Order Code: MEMO/108/518
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This book is devoted to the analysis of the large time asymptotics of the solutions of the heat equation in a random time-dependent potential. The authors give complete results in the discrete case of the \(d\)-dimensional lattice when the potential is, at each site, a Brownian motion in time. The phenomenon of intermittency of the solutions is discussed.

Readership

Research mathematicians.

Table of Contents

  • Introduction
  • Existence and uniqueness problems
  • Moment Lyapunov exponents and intermittency
  • Almost sure Lyapunov exponents
  • Concluding remarks
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