Self-organizing birth-and-death stochastic systems in continuum

Kondratiev Y, Minlos R, Zhizhina E (2008)
REVIEWS IN MATHEMATICAL PHYSICS 20(4): 451-492.

Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Zeitschriftenaufsatz | Veröffentlicht | Englisch
Autor
; ;
Abstract / Bemerkung
We consider birth-and-death stochastic particle systems in continuum which are under a self-regulation mechanism controlling configurations of particles via a pairwise interaction between them. The latter is reflected in a potential perturbation of the free generator. We show that the ground state renormalization scheme in the considered model leads to an invariant measure, a renormalized generator and resulting equilibrium birth-and-death stochastic dynamics for the system. The proof is based on the Gibbs-type representation for related path space measure. This measure has OS-positivity property and is constructed via the cluster expansion method.
Erscheinungsjahr
Zeitschriftentitel
REVIEWS IN MATHEMATICAL PHYSICS
Band
20
Ausgabe
4
Seite(n)
451-492
ISSN
PUB-ID

Zitieren

Kondratiev Y, Minlos R, Zhizhina E. Self-organizing birth-and-death stochastic systems in continuum. REVIEWS IN MATHEMATICAL PHYSICS. 2008;20(4):451-492.
Kondratiev, Y., Minlos, R., & Zhizhina, E. (2008). Self-organizing birth-and-death stochastic systems in continuum. REVIEWS IN MATHEMATICAL PHYSICS, 20(4), 451-492. doi:10.1142/S0129055X08003328
Kondratiev, Y., Minlos, R., and Zhizhina, E. (2008). Self-organizing birth-and-death stochastic systems in continuum. REVIEWS IN MATHEMATICAL PHYSICS 20, 451-492.
Kondratiev, Y., Minlos, R., & Zhizhina, E., 2008. Self-organizing birth-and-death stochastic systems in continuum. REVIEWS IN MATHEMATICAL PHYSICS, 20(4), p 451-492.
Y. Kondratiev, R. Minlos, and E. Zhizhina, “Self-organizing birth-and-death stochastic systems in continuum”, REVIEWS IN MATHEMATICAL PHYSICS, vol. 20, 2008, pp. 451-492.
Kondratiev, Y., Minlos, R., Zhizhina, E.: Self-organizing birth-and-death stochastic systems in continuum. REVIEWS IN MATHEMATICAL PHYSICS. 20, 451-492 (2008).
Kondratiev, Yuri, Minlos, Robert, and Zhizhina, Elena. “Self-organizing birth-and-death stochastic systems in continuum”. REVIEWS IN MATHEMATICAL PHYSICS 20.4 (2008): 451-492.