Random jumps with free partially deterministic coalescence

Krzysztof Pilorz. "Random jumps with free partially deterministic coalescence." Mathematica Applicanda 47.1 (2019): null. <http://eudml.org/doc/295471>.

@article{KrzysztofPilorz2019,
abstract = {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.},
author = {Krzysztof Pilorz},
journal = {Mathematica Applicanda},
keywords = {Coalescence, Coagulation, Hopping particles, Individual-based model, Infinite particle system, Kinetic equation},
language = {eng},
number = {1},
pages = {null},
title = {Random jumps with free partially deterministic coalescence},
url = {http://eudml.org/doc/295471},
volume = {47},
year = {2019},
}

TY - JOUR
AU - Krzysztof Pilorz
TI - Random jumps with free partially deterministic coalescence
JO - Mathematica Applicanda
PY - 2019
VL - 47
IS - 1
SP - null
AB - 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.
LA - eng
KW - Coalescence, Coagulation, Hopping particles, Individual-based model, Infinite particle system, Kinetic equation
UR - http://eudml.org/doc/295471
ER -