Ph.D.
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Ningwei Jiang, 2023. Characterization of Quasistationary Distributions for Markov Chains.
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SangJoon Lee, 2019: Asymptotic Analysis of Quasi-limiting Behavior for Drifted Brownian Motion Conditioned to Stay Positive.
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Hugo Panzo, 2018: Scaling limits for Brownian Motion Penalized by its running maximum.
UConn Undergrads (SURF Grant / Honors Thesis / Senior Thesis / Other)
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Renee Haddad, 2024: Exchangeability and a Model of Biological Evolution.
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Mason DiCicco, 2020: On Efficiency of Markovian Couplings (part of Markov Chains REU 2018).
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Trajan Murphy, 2019: School Policy Evaluated with Time-Reversible Markov Chains.
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Dennis Scheglov (co-advisor), 2018: University Scholars project.
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Joseph Sweeney, 2018: Nonexistence of Efficient Markovian Coupling for Finite State Markov Chains.
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Sailesh Simhadri 2018: Information Theory for Conditioned Markov Chains (research supported by UCONN SURF grant).
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Rachel Lonchar, 2018: Nonexistence of Efficient Markovian Coupling for Finite State Markov Chains (research supported by UCONN SURF grant).
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Thomas Bassine, 2016: Stein’s Method.
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Elizabeth Tripp, 2015: Efficient Coupling for Random Walk with Redistribution (research supported by UCONN SURF grant).
Markov Chains REU Students
Between 2018 and 2022 I ran an NSA-funded REU focusing on Markov chains and their applications.
2022
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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.
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Gabe Cantanelli (U Texas, Arlington): Sampling Minimal Quasi-Stationary Distributions through a Renewal Formula.
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Bram Silbert (Wesleyan U), Lillian (Ian) Makhoul (Lehigh University): Coalescing Random Walks.
2021
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Clay Allard (University of Utah), Shrikant Chand (New York University) and Julia Shapiro (University at Buffalo): Quasistationary Distributions for the Invasion and Voter model.
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Chris Vairogs (University of Florida) and Daniel Zou (Reed College): Coalescing and Annihilating Random Walks.
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Connor Bass (Macalester College), Na’ama Nevo (Colorado College), Caitlyn Powell (U of Alabama): Ballistic Deposition Model.
2020
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Aenea Ferguson (Whitworth College), Jack Hanke (UConn): Maximal Couplings for Finite State Markov Chains.
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Van Hovenga (U of Colorado Colorado Springs), Edith Lee (U of Rochester):
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Ruoyu Lin (Boston U), Josh Speckman (USC): Self-Similar Structure in an Exchangeable Model for Population Dynamics.
2019
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Jonah Green (Lehman College, CUNY), Taylor Meredith (NYU), Xioran (Rachel) Tan (UConn): Elephant Random Walks.
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R. Oliver VanderBerg (Kenyon College), Phil Speegle (U Alabama): Quasistationary Distribution for the Voter Model on the Complete Bipartite Graph.
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Jonah Botvinick-Greenhouse (Amherst College), Mark Kong (Harvard), Connor Fitch (Bowdoin College): Nonlinear Random walk.
2018
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Carter Bedsole (George Fox U), Grace O’Neil (UPenn): Biological Evolution Models Exhibiting Power Law Tails.
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Mason DiCicco (UCONN), Michael Dotzel (U Missouri), Ewan Harlow (U Wisconsin): Efficient Markovian Couplings.
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Emily Gentles (U Arkansas), Natalie Meacham (Bryn Mawr), Erica West (Colorado School of Mines): Memory in Random Sequences.