Results 61 to 70 of about 30,075 (285)

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

Scaling in Anti-Plane Elasticity on Random Shear Modulus Fields with Fractal and Hurst Effects

Fractal and Fractional, 2021
The scale dependence of the effective anti-plane shear modulus response in microstructures with statistical ergodicity and spatial wide-sense stationarity is investigated.
Yaswanth Sai Jetti, Martin Ostoja-Starzewski   +1 more
doaj   +1 more source

Analytic approach to stochastic cellular automata: exponential and inverse power distributions out of Random Domino Automaton

, 2011
Inspired by extremely simplified view of the earthquakes we propose the stochastic domino cellular automaton model exhibiting avalanches. From elementary combinatorial arguments we derive a set of nonlinear equations describing the automaton.
Alcaraz F., Białecki M., Białecki M., Białecki M., Białecki M., Białecki M., Czechowski Z., Czechowski Z., Czechowski Z., Czechowski Z., Czechowski Z., Derrida B., Dhar D., Dhar D., Dickman R., Doliwa A., Drossel B., Inui N., Lee S., Malamud B. D., Pacheco A. F., Paczuski M., Rundle J. B., Scholz C. H., Sloane N., Sornette D., Stauffer D., Takahashi D., Tang C., Tejedor A., Telesca L., Tokihiro T., Turcotte D. L., Vázquez-Prada M.   +33 more
core   +1 more source

Cellular automaton rules conserving the number of active sites

, 1998
This paper shows how to determine all the unidimensional two-state cellular automaton rules of a given number of inputs which conserve the number of active sites. These rules have to satisfy a necessary and sufficient condition.
Boccara N, Denning P, Farmer D, Feder J, Fuks H, Fukui M, Gutowitz H, Hopcroft J E, Hurst H E, Hurst H E, Manneville P, Nagel K, Weiss G H, Wolfram S, Wolfram S   +14 more
core   +1 more source

Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state

SciPost Physics, 2019
In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial value problem, corresponding to the inhomogeneous quench and the local ...
Marko Medenjak, Vladislav Popkov, Tomaž Prosen, Eric Ragoucy, Matthieu Vanicat
doaj   +1 more source

A lattice grain model of hillslope evolution [PDF]

Earth Surface Dynamics, 2018
This paper describes and explores a new continuous-time stochastic cellular automaton model of hillslope evolution. The Grain Hill model provides a computational framework with which to study slope forms that arise from stochastic disturbance and rock
G. E. Tucker, S. W. McCoy, D. E. J. Hobley   +2 more
doaj   +1 more source

Estimation of the order parameter exponent of critical cellular automata using the enhanced coherent anomaly method.

, 1995
The stochastic cellular automaton of Rule 18 defined by Wolfram [Rev. Mod. Phys. 55 601 (1983)] has been investigated by the enhanced coherent anomaly method.
G. Szabó, G. Ódor, G. Ódor, Géza Ódor, H. Gutowitz, J.L. Cardy, K. De'Bell, K. Eloranta, M. Suzuki, N. Boccara, N. Inui, R. Dickman, R. Dickman, S. Wolfram, W. Kinzel   +14 more
core   +1 more source

Advantages and limitations of navigation‐based multicriteria optimization (MCO) in selectively sparing pharyngeal constrictor muscles in head and neck radiotherapy treatment planning

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Sparing pharyngeal constrictor muscles (PCMs) during radiotherapy improves patient‐reported swallowing function. This study aimed to explore the feasibility of integrating knowledge‐based planning (KBP) with multicriteria optimization (MCO) in Eclipse v18.0 to selectively spare PCM, quantify the required trade‐off in prophylactic ...
Laura K. Howard, Simon J. P. Meara, Ehab M. Ibrahim, Carl G. Rowbottom   +3 more
wiley   +1 more source

Canalization and control in automata networks: body segmentation in Drosophila melanogaster. [PDF]

PLoS ONE, 2013
We present schema redescription as a methodology to characterize canalization in automata networks used to model biochemical regulation and signalling. In our formulation, canalization becomes synonymous with redundancy present in the logic of automata ...
Manuel Marques-Pita, Luis M Rocha
doaj   +1 more source

Hyperscaling in the Domany-Kinzel Cellular Automaton

, 1995
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 order parameter is discontinuous at this point.
Alex Yu. Tretyakov, E. Domany, E. Domany, F. Bagnoli, F. Bagnoli, G.A. Kohring, G.A. Kohring, I. Jensen, I. Jensen, J. F. F. Mendes, J. F. F. Mendes, J.W. Essam, J.W. Essam, P. Grassberger, P. Grassberger, R. Durrett, R. Durrett, Ronald Dickman, T.M. Liggett, T.M. Liggett, W. Kinzel, W. Kinzel   +21 more
core   +1 more source