students

Ningwei Jiang, 2023. Characterization of Quasistationary Distributions for Markov Chains.
SangJoon Lee, 2019: Asymptotic Analysis of Quasi-limiting Behavior for Drifted Brownian Motion Conditioned to Stay Positive.
Hugo Panzo, 2018: Scaling limits for Brownian Motion Penalized by its running maximum.

Renee Haddad, 2024: Exchangeability and a Model of Biological Evolution.pdf.
Mason DiCicco, 2020: On Efficiency of Markovian Couplings.pdf (part of Markov Chains REU 2018).
Trajan Murphy, 2019: School Policy Evaluated with Time-Reversible Markov Chains.pdf.
Dennis Scheglov (co-advisor), 2018: University Scholars project.
Joseph Sweeney, 2018: Nonexistence of Efficient Markovian Coupling for Finite State Markov Chains.
Sailesh Simhadri 2018: Information Theory for Conditioned Markov Chains (research supported by UCONN SURF grant).
Rachel Lonchar, 2018: Nonexistence of Efficient Markovian Coupling for Finite State Markov Chains (research supported by UCONN SURF grant).
Thomas Bassine, 2016: Stein’s Method.
Elizabeth Tripp, 2015: Efficient Coupling for Random Walk with Redistribution (research supported by UCONN SURF grant).

Between 2018 and 2022 I ran an NSA-funded REU focusing on Markov chains and their applications.

Alan Boles (University of Tennessee, Knoxville), Leila Dahlia (University of Illinois, Chicago), Scott McIntyre (University of California, Berkley), Bronson Zhou (University of Texas, Austin): An Implementation of a Maximal Coupling Algorithm for Markov Chains.
Gabe Cantanelli (U Texas, Arlington): Sampling Minimal Quasi-Stationary Distributions through a Renewal Formula.
Bram Silbert (Wesleyan U), Lillian (Ian) Makhoul (Lehigh University): Coalescing Random Walks.

Clay Allard (University of Utah), Shrikant Chand (New York University) and Julia Shapiro (University at Buffalo): Quasistationary Distributions for the Invasion and Voter model.
Chris Vairogs (University of Florida) and Daniel Zou (Reed College): Coalescing and Annihilating Random Walks.
Connor Bass (Macalester College), Na’ama Nevo (Colorado College), Caitlyn Powell (U of Alabama): Ballistic Deposition Model.

Aenea Ferguson (Whitworth College), Jack Hanke (UConn): Maximal Couplings for Finite State Markov Chains.
Van Hovenga (U of Colorado Colorado Springs), Edith Lee (U of Rochester):
Ruoyu Lin (Boston U), Josh Speckman (USC): Self-Similar Structure in an Exchangeable Model for Population Dynamics.

Jonah Green (Lehman College, CUNY), Taylor Meredith (NYU), Xioran (Rachel) Tan (UConn): Elephant Random Walks.
R. Oliver VanderBerg (Kenyon College), Phil Speegle (U Alabama): Quasistationary Distribution for the Voter Model on the Complete Bipartite Graph.
Jonah Botvinick-Greenhouse (Amherst College), Mark Kong (Harvard), Connor Fitch (Bowdoin College): Nonlinear Random walk.

Carter Bedsole (George Fox U), Grace O’Neil (UPenn): Biological Evolution Models Exhibiting Power Law Tails.
Mason DiCicco (UCONN), Michael Dotzel (U Missouri), Ewan Harlow (U Wisconsin): Efficient Markovian Couplings.
Emily Gentles (U Arkansas), Natalie Meacham (Bryn Mawr), Erica West (Colorado School of Mines): Memory in Random Sequences.