Joe Klobusicky

activity

20162026

most citedTwo-dimensional grain boundary networks: stochastic particle models and kinetic limits

2 citations · 5 across the 7 of their papers we have counts for

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Showing 2018Show all

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math.AP2018★ 2 cited

Two-dimensional grain boundary networks: stochastic particle models and kinetic limits

Joe Klobusicky, Govind Menon, Robert L. Pego

We study kinetic theories for isotropic, two-dimensional grain boundary networks which evolve by curvature flow. The number densities $f_{s} (x, t)$ for $s$ -sided grains, $s =1,2,\ldot…

math.PR2018

Renewal-scaled solutions of the Kolmogorov forward equation for residual times

Joe Klobusicky

Let $N (τ)$ be a renewal process for independent holding times ${X_{i}}_{k \geq 0}$ ,where ${X_{k}}_{k \geq 1}$ are identically distributed with density $p (x)$ . If the associated resid…