January 23, 2025
10:20AM
-
11:15AM
Cockins Hall 212
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2025-01-23 10:20:00
2025-01-23 11:15:00
Probability Seminar - Jimmy He
Jimmy HeThe Ohio State UniversityTitleRandom growth models with half space geometryAbstractRandom growth models in 1+1 dimension capture the behavior of interfaces evolving in the presence of noise. These models are expected to exhibit universal behavior, but we are still far from proving such results even in relatively simple models. A key development which has led to recent progress is the discovery of exact formulas for certain models with rich algebraic structure, leading to asymptotic results. I will survey some of these results, with a focus on models where a single boundary wall is present, as well as applications to rates of convergence for a Markov chain.
Cockins Hall 212
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2025-01-23 10:20:00
2025-01-23 11:15:00
Probability Seminar - Jimmy He
Jimmy HeThe Ohio State UniversityTitleRandom growth models with half space geometryAbstractRandom growth models in 1+1 dimension capture the behavior of interfaces evolving in the presence of noise. These models are expected to exhibit universal behavior, but we are still far from proving such results even in relatively simple models. A key development which has led to recent progress is the discovery of exact formulas for certain models with rich algebraic structure, leading to asymptotic results. I will survey some of these results, with a focus on models where a single boundary wall is present, as well as applications to rates of convergence for a Markov chain.
Cockins Hall 212
America/New_York
public
Jimmy He
The Ohio State University
Title
Random growth models with half space geometry
Abstract
Random growth models in 1+1 dimension capture the behavior of interfaces evolving in the presence of noise. These models are expected to exhibit universal behavior, but we are still far from proving such results even in relatively simple models. A key development which has led to recent progress is the discovery of exact formulas for certain models with rich algebraic structure, leading to asymptotic results. I will survey some of these results, with a focus on models where a single boundary wall is present, as well as applications to rates of convergence for a Markov chain.
