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math.PR2019
Invariance Principle for the Random Wind-Tree Process
Christopher Lutsko, Bálint Tóth
Consider a point particle moving through a Poisson distributed array of cubes all oriented along the axes - the random wind-tree model introduced in Ehrenfest-Ehrenfest (1912). We…
math.PR2019
Split-and-Merge in Stationary Random Stirring on Lattice Torus
Dmitry Ioffe, Bálint Tóth
We show that in any dimension , the cycle-length process of stationary random stirring (or, random interchange) on the lattice torus converges to the canonical Markovian spl…