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Asymptotics for the almost sure Lyapunov Exponent for the solution of the parabolic Anderson problem

Analysis of PDEs 2007-05-23 v1 Probability

Abstract

We find the asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem as the molecular diffusivity tends to zero.

Keywords

Cite

@article{arxiv.math/0206134,
  title  = {Asymptotics for the almost sure Lyapunov Exponent for the solution of the parabolic Anderson problem},
  author = {R. Carmona and L. Koralov and S. Molchanov},
  journal= {arXiv preprint arXiv:math/0206134},
  year   = {2007}
}

Comments

11 pages