Research Seminars @ Illinois

Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Probability Seminar - Timo Seppäläinen

Apr 24, 2026   10:00 - 10:50 am  
156 Henry Administration Building
Seminar/Symposium
Sponsor
Department of Mathematics
Speaker
Timo Seppäläinen (University of Wisconsin - Madison)
Contact
Xuan Wu
Originating Calendar
Mathematics Seminar Series: Probability

Title:   Busemann functions in the study of stochastic growth models.

Abstract:    The context of this talk is the search for useful techniques in the study of stochastic growth models. The topic is Busemann functions in planar lattice polymer models and in the continuum in the Kardar-Parisi-Zhang (KPZ) stochastic partial differential equation in one space dimension. We describe the Busemann process in these settings and some results from its analysis. These include multiplicity of polymer Gibbs measures, nonexistence of bi-infinite polymer paths, coalescence exponents, and uniqueness of stationary distributions and non-uniqueness of eternal solutions in the KPZ equation. Based on collaborations with Tom Alberts (Utah), Erik Bates (NC State), Ofer Busani (Edinburgh), Sean Groathouse (Utah), Chris Janjigian (Purdue), Louis Fan (UNC), Firas Rassoul-Agha (Utah), Xiao Shen (NC State), and Evan Sorensen (Columbia/Indiana).

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