Lattice Birth-And-Death Processes
Bezborodov V, Kondratiev Y, Kutovyi O (2019)
Moscow Mathematical Journal 19(1): 7-36.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Einrichtung
Abstract / Bemerkung
Lattice birth-and-death Markov dynamics of particle systems with spins from Z(+) are constructed as unique solutions to certain stochastic equations. Pathwise uniqueness, strong existence, Markov property and joint uniqueness in law are proven, and a martingale characterization of the process is given. Sufficient conditions for the existence of an invariant distribution are formulated in terms of Lyapunov functions. We apply obtained results to discrete analogs of the Bolker-Pacala-Dieckmann-Law model and an aggregation model.
Stichworte
Birth-death process;
interacting particle systems;
stochastic equation;
with Poisson noise;
martingale problem;
invariant measure;
Bolker-Pacala;
model
Erscheinungsjahr
2019
Zeitschriftentitel
Moscow Mathematical Journal
Band
19
Ausgabe
1
Seite(n)
7-36
ISSN
1609-3321
eISSN
1609-4514
Page URI
https://pub.uni-bielefeld.de/record/2936967
Zitieren
Bezborodov V, Kondratiev Y, Kutovyi O. Lattice Birth-And-Death Processes. Moscow Mathematical Journal . 2019;19(1):7-36.
Bezborodov, V., Kondratiev, Y., & Kutovyi, O. (2019). Lattice Birth-And-Death Processes. Moscow Mathematical Journal , 19(1), 7-36. doi:10.17323/1609-4514-2019-19-1-7-36
Bezborodov, Viktor, Kondratiev, Yuri, and Kutovyi, Oleksandr. 2019. “Lattice Birth-And-Death Processes”. Moscow Mathematical Journal 19 (1): 7-36.
Bezborodov, V., Kondratiev, Y., and Kutovyi, O. (2019). Lattice Birth-And-Death Processes. Moscow Mathematical Journal 19, 7-36.
Bezborodov, V., Kondratiev, Y., & Kutovyi, O., 2019. Lattice Birth-And-Death Processes. Moscow Mathematical Journal , 19(1), p 7-36.
V. Bezborodov, Y. Kondratiev, and O. Kutovyi, “Lattice Birth-And-Death Processes”, Moscow Mathematical Journal , vol. 19, 2019, pp. 7-36.
Bezborodov, V., Kondratiev, Y., Kutovyi, O.: Lattice Birth-And-Death Processes. Moscow Mathematical Journal . 19, 7-36 (2019).
Bezborodov, Viktor, Kondratiev, Yuri, and Kutovyi, Oleksandr. “Lattice Birth-And-Death Processes”. Moscow Mathematical Journal 19.1 (2019): 7-36.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar