Random jumps with free partially deterministic coalescence
Mathematica Applicanda, Tome 47 (2019) no. 1, pp. 141-150.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The aim of this paper is to discuss a special case of a coalescing random jumps model of infinitely many jumping individuals. Jumps are embedded with repulsion at the target point and coalescence kernel is defined in such a way that for two coalescing individuals the result is deterministically defined. A possible approach to study the dynamics of the system numerically is discussed. It is based on a Poisson approximation of states of the system. Some interesting results of simulations are showed.
DOI : 10.14708/ma.v47i1.6482
Classification : 60K35
Mots-clés : Coalescence, Coagulation, Hopping particles, Individual-based model, Infinite particle system, Kinetic equation
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Krzysztof Pilorz. Random jumps with free partially deterministic coalescence. Mathematica Applicanda, Tome 47 (2019) no. 1, pp.  141-150. doi : 10.14708/ma.v47i1.6482. http://geodesic.mathdoc.fr/articles/10.14708/ma.v47i1.6482/

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