Research

My main research interests center on probability theory and stochastic processes, with specific emphasis on topics including Brownian motion, local time, diffusions, stochastic differential equations, stochastic partial differential equations, and random measures. Here is my Google Scholar profile.

• Barkat Mian, Planar diffusions with a point interaction on a finite time horizon. arXiv:2601.17306

• Jeremy Clark, Barkat Mian, On planar Brownian motion singularly tilted through a point potential, Electron. J. Probab. 30, 1-97 (2025), arXiv:2306.14849.

• Jeremy Clark and Barkat Mian. Continuum polymer measures corresponding to the critical 2d stochastic heat flow, (2024).  arXiv:2409.01510.

• Tanzeela Shaheen, Barkat Mian, Muhammad Shabir, Feng Feng, A Novel Approach to Decision Analysis Using Dominance-Based Soft Rough Sets, International Journal of Fuzzy Systems 21(4), February 2019.