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math.PR2009
Asymptotics of the odometer function for the internal Diffusion Limited Aggregation model
Cyrille Lucas
We present precise asymptotics of the odometer function for the internal Diffusion Limited Aggregation model. These results provide a better understanding of this function whose im…
math.PR2009★ 3 cited
The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk
N. Enriquez, C. Lucas, F. Simenhaus
We identify the limit of the internal DLA cluster generated by Sinai's walk as the law of a functional of a Brownian motion which turns out to be a new interpretation of the Arcsin…