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

Special Probability Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
125 English Buiding
Date
Oct 9, 2024   2:00 - 2:50 pm  
Speaker
Kesav Krishnan (University of Victoria)
Contact
Partha Dey
E-Mail
psdey@illinois.edu
Views
21
Originating Calendar
Probability Research Area Calendar

Title: Uniqueness and CLT for the ground state Disordered Monomer-Dimer Model on Z^d.

Abstract: The Monomer-Dimer model is a Gibbs measure defined on the space of matchings (not necessarily perfect) on a graph. This talk will concern the disordered version of this problem with additional environmental randomness; the weights of the matchings are themselves random variables. The ground state of the model is a measure concentrated on matchings of minimal energy, in other words the Gibbs measure at zero temperature. In this talk, I will introduce the model on the discrete torus. In joint work with Gourab Ray, we establish the uniqueness in the limit of the ground state as the lattice size tends to infinity. This involves certain ergodic theoretic tools, such as the Burton Keane argument. We use this uniqueness to establish a central limit theorem for the ground state energy by applying Chatterjee’s powerful method of normal approximation.

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