Semigroup approach to birth-and-death stochastic dynamics in continuum

Finkelshtein D, Kondratiev Y, Kutoviy O (2012)
Journal of Functional Analysis 262(3): 1274-1308.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor/in
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Abstract / Bemerkung
We describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in R(d). We present conditions on the birth-and-death intensities which are sufficient for the existence of an evolution as a strongly continuous semigroup in a proper Banach space of correlation functions satisfying the Ruelle bound. The convergence of a Vlasov-type scaling for the corresponding stochastic dynamics is considered. (C) 2011 Elsevier Inc. All rights reserved.
Stichworte
Continuous systems; C(0)-semigroups; Markov evolution; Spatial; birth-and-death dynamics; Correlation functions; Evolution equations; Vlasov scaling; Scaling limits; Vlasov equation
Erscheinungsjahr
2012
Zeitschriftentitel
Journal of Functional Analysis
Band
262
Ausgabe
3
Seite(n)
1274-1308
ISSN
0022-1236
Page URI
https://pub.uni-bielefeld.de/record/2474355

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Finkelshtein D, Kondratiev Y, Kutoviy O. Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis. 2012;262(3):1274-1308.
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2012). Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis, 262(3), 1274-1308. doi:10.1016/j.jfa.2011.11.005
Finkelshtein, D., Kondratiev, Y., and Kutoviy, O. (2012). Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis 262, 1274-1308.
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O., 2012. Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis, 262(3), p 1274-1308.
D. Finkelshtein, Y. Kondratiev, and O. Kutoviy, “Semigroup approach to birth-and-death stochastic dynamics in continuum”, Journal of Functional Analysis, vol. 262, 2012, pp. 1274-1308.
Finkelshtein, D., Kondratiev, Y., Kutoviy, O.: Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis. 262, 1274-1308 (2012).
Finkelshtein, Dmitri, Kondratiev, Yuri, and Kutoviy, Oleksandr. “Semigroup approach to birth-and-death stochastic dynamics in continuum”. Journal of Functional Analysis 262.3 (2012): 1274-1308.