Xiao Shen

Department of Mathematics

University of Utah

Email: xshen@math.utah.edu

Office: LeRoy E. Cowles Building (LCB), 202

I am a postdoc in the Department of Mathematics at the University of Utah. My faculty advisor is Firas Rassoul-Agha.

I received my Ph.D. from the University of Wisconsin - Madison in 2021 under the supervision of Timo Seppäläinen.

My research work lies at the interface of probability and statistical physics, with a primary focus on establishing universal laws that describe the random geometry and space-time profiles of random growth models falling within the KPZ universality class.

Research:

Lower bound for large midpoint transversal fluctuations in the corner growth model. Preprint (2024).
An upper bound on geodesic length in 2D critical first-passage percolation with Erik Bates, David Harper, and Evan Sorensen. Preprint (2023).
Independence property of the Busemann function in exactly solvable KPZ models. Preprint (2023).
Time correlations in KPZ models with diffusive initial conditions with Riddhipratim Basu. Preprint (2023).
Temporal correlation in the inverse-gamma polymer with Riddhipratim Basu and Timo Seppäläinen. To appear in Commun. Math. Phys. (2023).
Coalescence and total-variation distance of semi-infinite inverse-gamma polymers with Firas Rassoul-Agha and Timo Seppäläinen. To appear in J. Lond. Math. Soc. (2023).
On the number and size of holes in the growing ball of first-passage percolation with Michael Damron, Julian Gold, and Wai-Kit Lam. (2022) Trans. Amer. Math. Soc. 377 (2024), 1641-1670.
Tail bounds for the averaged empirical distribution on a geodesic in first-passage percolation with Chris Janjigian and Wai-Kit Lam. Preprint (2020)
Coalescence estimates for the corner growth model with exponential weights with Timo Seppäläinen. (2019) Electron. J. Probab. 25: 1-31 (2020). DOI: 10.1214/20-EJP489