On the small time asymptotics of the dynamical $\Phi^4_1$ model

Bingguang Chen; Xiangchan Zhu

On the small time asymptotics of the dynamical $\Phi^4_1$ model

Probability 2019-10-09 v1

Authors: Bingguang Chen , Xiangchan Zhu

Abstract

In this paper, we establish a small time large deviation principle (small time asymptotics) for the dynamical $\Phi^4_1$ model, which not only involves study of the space-time white noise with intensity $\sqrt{\varepsilon}$ , but also the investigation of the effect of the small (with $\varepsilon$ ) nonlinear drift.

Keywords

asymptotic analysis

Cite

@article{arxiv.1910.03423,
  title  = {On the small time asymptotics of the dynamical $\Phi^4_1$ model},
  author = {Bingguang Chen and Xiangchan Zhu},
  journal= {arXiv preprint arXiv:1910.03423},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1802.04141 by other authors

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