JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 63(8) 2919-2929 Aug 1994
We studied competing directed percolation (CDP) to confirm the validity of Matsushita and Meakin's theory also for the case that an entire pattern is self-similar and not compact, while its individual clusters are self-affine. Critical values of t...
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 62(7) 2200-2203 Jul 1993
Structural and statistical properties of directed percolation in two dimensions are studied numerically. The self-affinity of individual clusters is confirmed and their scaling exponents are obtained. An exponent characterizing the cluster-size di...
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 61(5) 1445-1448 May 1992
We study structural and statistical properties of a self-avoiding version of fractional Brownian motion (fBm) trajectories in two dimensions. The self-similarity of fBm trajectories is confirmed and their fractal dimensions D are obtained. Closed ...
Graduate School of Humanities