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math.PR2010★ 49 cited
Sublogarithmic fluctuations for internal DLA
Amine Asselah, Alexandre Gaudillière
We consider internal diffusion limited aggregation in dimension larger than or equal to two. This is a random cluster growth model, where random walks start at the origin of the d-…
math.PR2010★ 31 cited
From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
Amine Asselah, Alexandre Gaudilliere
We consider a cluster growth model on the d-dimensional lattice, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one…
math.PR2010★ 4 cited
A note on fluctuations for internal diffusion limited aggregation
Amine Asselah, Alexandre Gaudilliere
We consider a cluster growth model on Z^d, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop mo…