N. S. Arkashov, V. A. Seleznev, “On a random walk model on sets with self-similar structure”, Sibirsk. Mat. Zh., 2013, Volume 54, Number 6,Pages <nobr>1216

This article is cited in 3 papers

On a random walk model on sets with self-similar structure

N. S. Arkashov^ab, V. A. Seleznev^a

^a Novosibirsk State Technical University, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We construct a random walk model on sets with self-similar structure parametrized by a real line. The model in particular explains the arising nonlinearity with respect to the mean square time in the so-called anomalous transports.

Keywords: self-similar sets, random walk, anomalous transport, diffusion, Hausdorff measure, Hausdorff dimension.

UDC: 519.216.22+517.54

Received: 13.12.2012