English

The Law of Iterated Logarithm for a Linear Stochastic Schrodinger Equation

Analysis of PDEs 2024-07-15 v1 Probability

Abstract

The moderate deviation principle is achieved for a stochastic Schrodinger type equation by applying the classical Azencott method. The Friedlin-Wentzell inequality derived by this method is then used to prove the Strassen's compact law of the iterated logarithm for the equation.

Keywords

Cite

@article{arxiv.2407.09300,
  title  = {The Law of Iterated Logarithm for a Linear Stochastic Schrodinger Equation},
  author = {Parisa Fatheddin},
  journal= {arXiv preprint arXiv:2407.09300},
  year   = {2024}
}