Long-time behavior of stochastic model with multi-particle synchronization
| dc.creator | Manita, Anatoly | |
| dc.date | 2006-06-01 | |
| dc.date | 2007-02-25 | |
| dc.date.accessioned | 2026-07-07T07:48:21Z | |
| dc.date.available | 2026-07-07T07:48:21Z | |
| dc.description | We consider a basic stochastic particle system consisting of $N$ identical particles with isotropic $k$-particle synchronization, $k\geq 2$. In the limit when both number of particles $N$ and time $t=t(N)$ grow to infinity we study an asymptotic behavior of a coordinate spread of the particle system. We describe three time stages of $t(N)$ for which a qualitative behavior of the system is completely different. Moreover, we discuss the case when a spread of the initial configuration depends on $N$ and increases to infinity as $N\to \infty $. | |
| dc.description | 9 pages, 1 figure; one reference and one figure added, typos corrected, minor improvements of the proofs | |
| dc.identifier | https://arxiv.org/abs/math/0606040 | |
| dc.identifier | http://arxiv.org/abs/math/0606040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124470 | |
| dc.subject | Probability | |
| dc.subject | 60K35; 60J27 | |
| dc.title | Long-time behavior of stochastic model with multi-particle synchronization | |
| dc.type | text |