Research

My research interests are SPDEs, network data science, small ball probability and their applications.

Publications

1. Chen, J. (2025). Small ball probability for the fractional stochastic heat equation driven by a colored noise. Electronic Journal of Probability, 30, 1-31. [arXiv] [doi] 

2. Chen, J. (2024). Small ball probabilities for the stochastic heat equation with colored noise. Stochastic Processes and their Applications, 177, 104455.  [arXiv] [doi]

3. Chen, J. (2023). Chung’s law of the iterated logarithm for a class of stochastic heat equations. Electronic Communications in Probability, 28, 1-7. [arXiv] [doi]

Preprints

1. Chen, J. (2025). Effective radius of a discrete moving polymer. [arXiv]

2. Chen, J. (2026). Small ball probabilities for the stochastic heat equation on compact manifolds. [arXiv]