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 Prof. 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.

Research Interests: 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.

Curriculum Vitae Thesis Thesis Slides

Publications & Preprints

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

Teaching

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