Simulation of Branching Random Walks on a Multidimensional Lattice
We consider continuous-time branching random walks on multidimensional lattices with birth and death of particles at a finite number of lattice points. Such processes are used in numerous applications, in particular, in statistical physics, population dynamics, and chemical kinetics. In the last dec...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-04, Vol.254 (4), p.469-484 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
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| creator | Ermishkina, E. M. Yarovaya, E. B. |
| description | We consider continuous-time branching random walks on multidimensional lattices with birth and death of particles at a finite number of lattice points. Such processes are used in numerous applications, in particular, in statistical physics, population dynamics, and chemical kinetics. In the last decade, for various models of branching random walks, a series of limit theorems about the behavior of the process for large times has been obtained. However, it is almost impossible to analyze analytically branching random walks on finite time intervals; so in this paper we present an algorithm for simulating branching random walks and examples of its numerical realization. |
| doi_str_mv | 10.1007/s10958-021-05319-0 |
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However, it is almost impossible to analyze analytically branching random walks on finite time intervals; so in this paper we present an algorithm for simulating branching random walks and examples of its numerical realization.</description><subject>Algorithms</subject><subject>Analysis</subject><subject>Chemical reaction, Rate of</subject><subject>Knots</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Population biology</subject><subject>Random walk</subject><subject>Reaction kinetics</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kU1LxDAQhosoqKt_wFPBk4foTNI2zVHFj4UVYVU8hmya1mibatKC_nujK-jCIjlMyDzPMORNkgOEYwTgJwFB5CUBigRyhoLARrKDOWek5CLfjHfglDDGs-1kN4RniFJRsp3k7M52Y6sG27u0r9Mzr5x-sq5J58pVfZc-qvYlpLGp0puxHWxlO-NCpFWbztQwWG32kq1atcHs_9RJ8nB5cX9-TWa3V9Pz0xnRGXIgQqDGAlWBSGuuFxkDhlXGmSkqyvOSaqMYUI7ACs2gKEtcoEBKi4VQFeZskhwu5776_m00YZDP_ejjIkHSHErB8yL7QzWqNdK6uh-80p0NWp5yKjIBgkKkyBqqMc541fbO1DY-r_DHa_h4KtNZvVY4WhEiM5j3oVFjCHJ6N19l6ZLVvg_Bm1q-etsp_yER5Fe8chmvjPHK73jll8SWUoiwa4z__Y1_rE-gAqIk</recordid><startdate>20210401</startdate><enddate>20210401</enddate><creator>Ermishkina, E. 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| subjects | Algorithms Analysis Chemical reaction, Rate of Knots Mathematics Mathematics and Statistics Population biology Random walk Reaction kinetics |
| title | Simulation of Branching Random Walks on a Multidimensional Lattice |
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