Research

Collaborators

    Partha Sarathi Dey, Ruiyuan Chen, Wai-Tong (Louis) Fan, Wenqing Hu, Daesung Kim, Anush Tserunyan, Philip Matchett Wood.

Preprints and Publications

1.  Random optimization problems at fixed temperatures. [arXiv], [slides].
   Joint work with Partha S. Dey.
   Submitted.

2. Collaboration of Random Walks on Graphs. [arXiv]
   Joint work with Partha S. Dey and Daesung Kim.
   To be submitted.

3. Nonamenable subforests of multi-ended quasi-pmp graphs. [arXiv], [slides].
   Joint work with Ruiyuan Chen and Anush Tserunyan.
   Submitted.

4. Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data. [arXiv].
   Joint work with Partha S. Dey.
   Submitted.

5. Stein's method for Conditional Central Limit Theorem. [arXiv], [journal], [slides].
   Joint work with Partha S. Dey. 
   Annals of Probability, 51 (2023), no. 2, 723-773. 

6. Wave propagation for reaction-diffusion equations on infinite random trees. [arXiv], [journal], [slides].
   Joint work with Wai-Tong (Louis) Fan and Wenqing Hu.
   Commun. Math. Phys., 384 (2021), no. 1, 109–163.

7. On the Probability of Irreducibility of Random Polynomials with Integer Coefficients. [arXiv].
   Undergraduate work done under advisory of Philip M. Wood.