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math.PR2014
Parrondo games with spatial dependence, III
S. N. Ethier, Jiyeon Lee
We study Toral's Parrondo games with players and one-dimensional spatial dependence as modified by Xie et al. Specifically, we use computer graphics to sketch the Parrondo and…
math.PR2014
A property of Petrov's diffusion
S. N. Ethier
Petrov constructed a diffusion process in the Kingman simplex whose unique stationary distribution is the two-parameter Poisson-Dirichlet distribution of Pitman and Yor. We show th…