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math.PR2019
An Improved Lower Bound for the Traveling Salesman Constant
Julia Gaudio, Patrick Jaillet
Let be independent uniform random variables on . Let be the length of the shortest Traveling Salesman tour through these points…
math.PR2019
Attracting Random Walks
Julia Gaudio, Yury Polyanskiy
This paper introduces the Attracting Random Walks model, which describes the dynamics of a system of particles on a graph with vertices. At each step, a single particle moves t…
math.PR2018
Exponential Convergence Rates for Stochastically Ordered Markov Processes with Random Initial Conditions
Julia Gaudio, Saurabh Amin, Patrick Jaillet
In this brief paper we find computable exponential convergence rates for a large class of stochastically ordered Markov processes. We extend the result of Lund, Meyn, and Tweedie (…