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

Abstract

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

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

References in corpus (1)

• Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions