52 citations · 65 across the 3 of their papers we have counts for
3 papers
cond-mat1995
Some aspects of the critical behavior of the Two-Neighbor Stochastic Cellular Automata
A. Yu. Tretyakov, N. Inui, M. Katori +1
Using Pade approximations and Monte Carlo simulations, we study the phase diagram of the Two-Neighbor Stochastic Cellular Automata, which have two parameters and an…
cond-mat1995★ 13 cited
Critical behavior for mixed site-bond directed percolation
A. Yu. Tretyakov, N. Inui
We study mixed site-bond directed percolation on 2D and 3D lattices by using time-dependent simulations. Our results are compared with rigorous bounds recently obtained by Liggett…
cond-mat1995★ 52 cited
Hyperscaling in the Domany-Kinzel Cellular Automaton
Ronald Dickman, Alex Yu. Tretyakov
An apparent violation of hyperscaling at the endpoint of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elementary resolution upon noting that the or…