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math.PR2021
Concentration inequalities for the hydrodynamic limit of a two-species stochastic particle system
Joseph Klobusicky
We study a stochastic particle system which is motivated from grain boundary coarsening in two-dimensional networks. Each particles lives on the positive real line and is labeled a…
math.PR2018
Renewal-scaled solutions of the Kolmogorov forward equation for residual times
Joe Klobusicky
Let be a renewal process for independent holding times ,where are identically distributed with density . If the associated resid…
math.PR2016
Concentration inequalities for a removal-driven thinning process
Joe Klobusicky, Govind Menon
We prove exponential concentration estimates and a strong law of large numbers for a particle system that is the simplest representative of a general class of models for 2D grain b…