arXiv Open Access 2011

On the internal distance in the interlacement set

Jiří Černý Serguei Popov

Lihat Sumber

Abstrak

We prove a shape theorem for the internal (graph) distance on the interlacement set $\mathcal{I}^u$ of the random interlacement model on $\mathbb Z^d$, $d\ge 3$. We provide large deviation estimates for the internal distance of distant points in this set, and use these estimates to study the internal distance on the range of a simple random walk on a discrete torus.

Topik & Kata Kunci

math.PR

Penulis (2)

Jiří Černý

Serguei Popov

Format Sitasi

APA MLA BibTeX

Černý, J., Popov, S. (2011). On the internal distance in the interlacement set. https://arxiv.org/abs/1111.3979

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓