Properties of a Finite Stochastic Cellular Automaton Toy Model of Earthquakes
| Autor: | Mariusz Białecki |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Discrete mathematics
Block cellular automaton Toy model 010504 meteorology & atmospheric sciences Markov chain Continuous automaton 010502 geochemistry & geophysics 01 natural sciences Reversible cellular automaton Geophysics Stochastic cellular automaton Deterministic automaton Probabilistic automaton Applied mathematics 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Acta Geophysica. 63:923-956 |
| ISSN: | 1895-7455 1895-6572 |
| DOI: | 10.1515/acgeo-2015-0030 |
| Popis: | Finite version of Random Domino Automaton — a recently proposed toy model of earthquakes — is investigated in detail. Respective set of equations describing stationary state of the FRDA is derived and compared with infinite case. It is shown that for a system of large size, these equations are coincident with RDA equations. We demonstrate a non-existence of exact equations for size N ≥ 5 and propose appropriate approximations, the quality of which is studied in examples obtained within the framework of Markov chains. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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