scholarly journals Correction to: New approach to evaluate the asymptotic distribution of particle systems expressed by probabilistic cellular automata

2020 ◽  
Vol 37 (2) ◽  
pp. 485-485
Author(s):  
Kazushige Endo
Keyword(s):  
Cellular Automata ◽  
Asymptotic Distribution ◽  
Particle Systems ◽  
Probabilistic Cellular Automata ◽  
New Approach

EXTENDED APPLICATION OF CONSTRUCTIVE CRITERIA FOR ERGODICITY OF INTERACTING PARTICLE SYSTEMS

1996 ◽  
Vol 07 (01) ◽  
pp. 1-18 ◽  
Author(s):  
HANS DE JONG ◽  
CHRISTIAN MAES
Keyword(s):  
Cellular Automata ◽  
Discrete Time ◽  
Continuous Time ◽  
Interacting Particle Systems ◽  
Particle Systems ◽  
Probabilistic Cellular Automata ◽  
Interacting Particle ◽  
Spin Flip ◽  
Extended Application ◽  
Computational Aspects

We discuss computational aspects of verifying constructive criteria for ergodicity of interacting particle systems. Both discrete time (probabilistic cellular automata) and continuous time spin flip dynamics are considered. We also investigate how the criteria have to be adapted if stirring is added to the dynamics.

scholarly journals Around probabilistic cellular automata

2014 ◽  
Vol 559 ◽  
pp. 42-72 ◽  
Author(s):  
Jean Mairesse ◽  
Irène Marcovici
Keyword(s):  
Cellular Automata ◽  
Probabilistic Cellular Automata

scholarly journals Percolation games, probabilistic cellular automata, and the hard-core model

2018 ◽  
Vol 174 (3-4) ◽  
pp. 1187-1217 ◽  
Author(s):  
Alexander E. Holroyd ◽  
Irène Marcovici ◽  
James B. Martin
Keyword(s):  
Cellular Automata ◽  
Hard Core ◽  
Core Model ◽  
Probabilistic Cellular Automata ◽  
Hard Core Model

Interpolation Methods Applied on Biomolecules and Condensed Matter Brownian Motion

2021 ◽  
Author(s):  
Sanja Aleksic ◽  
Bojana Markovic ◽  
Vojislav V. Mitic ◽  
Dusan Milosevic ◽  
Mimica Milosevic ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Condensed Matter ◽  
Particle Systems ◽  
Fractal Nature ◽  
New Approach ◽  
Motion Data ◽  
Joint Properties ◽  
Physical Particle ◽  
High Level ◽  
Advanced Development

Biophysical and condensed matter systems connection is of great importance nowadays due to the need for a new approach in microelectronic biodevices, biocomputers or biochips advanced development. Considering that the living and nonliving systems’ submicroparticles are identical, we can establish the biunivocally correspondent relation between these two particle systems, as a biomimetic correlation based on Brownian motion fractal nature similarities, as the integrative property. In our research, we used the experimental results of bacterial motion under the influence of energetic impulses, like music, and also some biomolecule motion data. Our goal is to define the relation between biophysical and physical particle systems, by introducing mathematical analytical forms and applying Brownian motion fractal nature characterization and fractal interpolation. This work is an advanced research in the field of new solutions for high-level microelectronic integrations, which include submicrobiosystems like part of even organic microelectronic considerations, together with some physical systems of particles in solid-state solutions as a nonorganic part. Our research is based on Brownian motion minimal joint properties within the integrated biophysical systems in the wholeness of nature.

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