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

Bingguang Chen; Xiangchan Zhu

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arXiv · 1910.03423

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

Bingguang Chen·Xiangchan Zhu

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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.

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BibTeX RIS

Bingguang Chen, Xiangchan Zhu. 2019-10-08. On the small time asymptotics of the dynamical $\Phi^4_1$ model. https://arxiv.org/abs/1910.03423

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