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On the Small Time Asymptotics of the Dynamical Φ 41 Model

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Abstract

In this paper, we establish a small time large deviation principle (small time asymptotics) for the dynamical Φ 41 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 ε) nonlinear drift.

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Acknowledgements

The authors would like to thank Rongchan Zhu for helpful discussions and also Peter Friz for pointing out [14] to us. We thank the referees for their time and comments, too.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing, 100190, P. R. China

    Bing Guang Chen & Xiang Chan Zhu

  2. Department of Mathematics, University of Bielefeld, D-33615, Bielefeld, Germany

    Bing Guang Chen & Xiang Chan Zhu

Authors
  1. Bing Guang Chen
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  2. Xiang Chan Zhu
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Corresponding author

Correspondence to Xiang Chan Zhu.

Additional information

Research supported in part by NSFC (Grant No. 11771037); Financial supported by the DFG through the CRC 1283 “Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications” is acknowledged

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Chen, B.G., Zhu, X.C. On the Small Time Asymptotics of the Dynamical Φ 41 Model. Acta. Math. Sin.-English Ser. 37, 436–446 (2021). https://doi.org/10.1007/s10114-020-9342-0

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  • DOI: https://doi.org/10.1007/s10114-020-9342-0

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