Results 21 to 30 of about 24,873 (129)
On a zero speed sensitive cellular automaton [PDF]
Nonlinearity, 2006 Using an unusual, yet natural invariant measure we show that there exists a sensitive cellular automaton whose perturbations propagate at asymptotically null speed for almost all configurations. More specifically, we prove that Lyapunov Exponents measuring pointwise or average linear speeds of the faster perturbations are equal to zero.
Pierre Tisseur +2 more
openaire +7 more sources
Growth of surfaces generated by a probabilistic cellular automaton
, 1998 A one-dimensional cellular automaton with a probabilistic evolution rule can generate stochastic surface growth in $(1 + 1)$ dimensions. Two such discrete models of surface growth are constructed from a probabilistic cellular automaton which is known to ...
Bhattacharyya, Pratip
core +3 more sources
The Thirring quantum cellular automaton [PDF]
, 2017 We analytically diagonalize a discrete-time on-site interacting fermionic cellular automaton in the two-particle sector. Important features of the solutions sensibly differ from those of analogous Hamiltonian models.
Bisio, A. +3 more
core +2 more sources
, 2016 A time-reversible cellular automaton can most easily be described by regarding its evolution law as a two-step process, for instance by first allowing the even sites to update, then the odd sites. The discrete Hamiltonian operator procedure of Chap. 19 may be used.
openaire +2 more sources
On the decomposition of stochastic cellular automata
, 2015 In this paper we present two interesting properties of stochastic cellular automata that can be helpful in analyzing the dynamical behavior of such automata. The first property allows for calculating cell-wise probability distributions over the state set
Baetens, Jan M. +2 more
core +1 more source
One Dimensional $n$ary Density Classification Using Two Cellular Automaton Rules
, 1998 Suppose each site on a one-dimensional chain with periodic boundary condition may take on any one of the states $0,1,..., n-1$, can you find out the most frequently occurring state using cellular automaton?
Chau, H. F., Siu, L. W., Yan, K. K.
core +1 more source
, 1993 We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical $\phi^3$ graph, which is equivalent to coupling the model to discretized 2D gravity.
Ambjørn +33 more
core +1 more source
A uniquely ergodic cellular automaton
Journal of Computer and System Sciences, 2015 47 pages, 8 figures.
openaire +4 more sources
A cellular automaton model of pulsar glitches [PDF]
Monthly Notices of the Royal Astronomical Society, 2008 18 pages, 13 figures, accepted for publication in ...
L. Warszawski, Andrew Melatos
openaire +3 more sources
Transfer matrix analysis of one-dimensional majority cellular automata with thermal noise
, 2013 Thermal noise in a cellular automaton refers to a random perturbation to its function which eventually leads this automaton to an equilibrium state controlled by a temperature parameter. We study the 1-dimensional majority-3 cellular automaton under this
Lemoy, Rémi +2 more
core +1 more source