Shangjie Yang

About Me

I am an assistant professor in the Department of Applied Mathematics of Fluminense Federal University (UFF). Before that, I was a postdoctoral fellow hosted by Prof. Leonardo T. Rolla in São Paulo University, hosted by Prof. Gidi Amir and Dr. Naomi Feldheim in Bar-Ilan University, hosted by Prof. Tertuliano Franco in Federal University of Bahia, and a Ph.D. student under the supervision of Prof. Hubert Lacoin at Instituto de Matemática Pura e Aplicada. Here are my CV and thesis: Mixing time for interface models and particle system (slide).

I am mainly interested in the intersection between probability theory and statistical mechanics. In particular, my research focuses on Markov chains and mixing times, random polymer models, interacting particle systems, random walks in random environments, Gaussian random functions, etc.

Publications

Here are my publications and preprints:

• 8. S. Yang, Cutoff of the simple exclusion process with inhomogeneous conductances [Arxiv]
• 7. S. Yang, The spectral gap and principal eigenfunction of the random conductance model in a line segment [Arxiv]
• 6. Y. Wang, K. Xiang, S. Yang, and L. Zou, The High-Order Corrections of Discrete Harmonic Measures and Their Correction Constants
                      [At publisher] Journal of Statistical Physics. 191:81 (2024).
• 5. N. Feldheim and S. Yang, Typical height of the (2+1)-D Solid-on-Solid surface with pinning above a wall in the delocalized phase [Arxiv]
                      [At publisher] Stochastic Processes and their Applications. 165 (2023), 168-182.
• 4. G. Amir and S. Yang, The branching number of intermediate growth trees [Arxiv]
                      [At publisher] Groups, Geometry, and Dynamics. 2024.
• 3. H. Lacoin and S. Yang, Mixing time for the asymmetric simple exclusion process in a random environment [Arxiv]
                      [At publisher] Annals of Applied Probability. 34(1A): 388-427 (February 2024).
• 2. H. Lacoin and S. Yang, Metastability for expanding bubbles on a sticky substrate [Arxiv]
                      [At publisher] Annals of Applied Probability. 32(5): 3408-3449 (October 2022).
• 1. S. Yang, Cutoff for polymer pinning dynamics in the repulsive phase [Arxiv]
                      [At publisher] Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 57(3): 1306-1335 (2021).

Teaching

Links