Research Seminars @ Illinois

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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

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
36 English Building
Date
Oct 22, 2024   2:00 - 2:50 pm  
Speaker
Christopher Janjigian (Purdue)
Contact
Xuan Wu
E-Mail
xuanw@illinois.edu
Views
1
Originating Calendar
Probability Research Area Calendar

Title:    Infinite geodesic in inhomogeneous exponential last passage percolation.

Abstract:    This talk will discuss some recent progress in understanding the structure of semi-infinite geodesics and their associated Busemann functions in the inhomogeneous, exactly solvable exponential last-passage percolation model. In contrast to the homogeneous model, this generalization admits linear segments of the limit shape and an associated richer structure of semi-infinite geodesic behaviors. Depending on certain choices of the inhomogeneity parameters, we show that the model exhibits new behaviors of semi-infinite geodesics, which include wandering semi-infinite geodesics with no asymptotic direction, isolated asymptotic directions of semi-infinite geodesics, and non-trivial intervals of directions with no semi-infinite geodesics. Based on joint work with Elnur Emrah (Bristol) and Timo Seppäläinen (Madison)

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