arXiv Open Access 2013

Fluctuations for internal DLA on the Comb

Amine Asselah Houda Rahmani

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Abstrak

We study internal diffusion limited aggregation (DLA) on the two dimensional comb lattice. The comb lattice is a spanning tree of the euclidean lattice, and internal DLA is a random growth model, where simple random walks, starting one at a time at the origin of the comb, stop when reaching the first unoccupied site. An asymptotic shape is suggested by a lower bound of Huss and Sava. We show that fluctuations with respect to this shape are gaussian as in the one-dimensional lattice.

Topik & Kata Kunci

math.PR

Penulis (2)

Amine Asselah

Houda Rahmani

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APA MLA BibTeX

Asselah, A., Rahmani, H. (2013). Fluctuations for internal DLA on the Comb. https://arxiv.org/abs/1309.3444

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓