| Título: | Upper bound on the expected size of the intrinsic ball |
| Autores: | Sapozhnikov, Artem; EURANDOM |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Critical percolation; high-dimensional percolation; triangle condition; chemical distance; intrinsic ball 60K35; 82B43 |
| Descripción: | We give a short proof of Theorem 1.2 (i) from the paper "The Alexander-Orbach conjecture holds in high dimensions" by G. Kozma and A. Nachmias. We show that the expected size of the intrinsic ball of radius $r$ is at most $Cr$ if the susceptibility exponent is at most 1. In particular, this result follows if the so-called triangle condition holds. |
| Idioma: | No aplica |
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