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Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations

Probability 2019-06-19 v1

Abstract

By using a split argument due to [1], the transportation cost inequality is established on the free path space of Markov processes. The general result is applied to stochastic reaction diffusion equations with random initial values.

Keywords

Cite

@article{arxiv.1906.07543,
  title  = {Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations},
  author = {Feng-Yu Wang and Tusheng Zhang},
  journal= {arXiv preprint arXiv:1906.07543},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-23T09:56:51.675Z