A Quasispecies Continuous Contact Model in a Critical Regime

Kondratiev Y, Pirogov S, Zhizhina E (2016)
JOURNAL OF STATISTICAL PHYSICS 163(2): 357-373.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We study a new non-equilibrium dynamical model: a marked continuous contact model in d-dimensional space (). We prove that for certain values of rates (the critical regime) this system has the one-parameter family of invariant measures labelled by the spatial density of particles. Then we prove that the process starting from the marked Poisson measure converges to one of these invariant measures. In contrast with the continuous contact model studied earlier in Kondratiev (Infin Dimens Anal Quantum Probab Relat Top 11(2):231-258, 2008), now the spatial particle density is not a conserved quantity.
Erscheinungsjahr
Zeitschriftentitel
JOURNAL OF STATISTICAL PHYSICS
Band
163
Ausgabe
2
Seite(n)
357-373
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Kondratiev Y, Pirogov S, Zhizhina E. A Quasispecies Continuous Contact Model in a Critical Regime. JOURNAL OF STATISTICAL PHYSICS. 2016;163(2):357-373.
Kondratiev, Y., Pirogov, S., & Zhizhina, E. (2016). A Quasispecies Continuous Contact Model in a Critical Regime. JOURNAL OF STATISTICAL PHYSICS, 163(2), 357-373. doi:10.1007/s10955-016-1480-5
Kondratiev, Y., Pirogov, S., and Zhizhina, E. (2016). A Quasispecies Continuous Contact Model in a Critical Regime. JOURNAL OF STATISTICAL PHYSICS 163, 357-373.
Kondratiev, Y., Pirogov, S., & Zhizhina, E., 2016. A Quasispecies Continuous Contact Model in a Critical Regime. JOURNAL OF STATISTICAL PHYSICS, 163(2), p 357-373.
Y. Kondratiev, S. Pirogov, and E. Zhizhina, “A Quasispecies Continuous Contact Model in a Critical Regime”, JOURNAL OF STATISTICAL PHYSICS, vol. 163, 2016, pp. 357-373.
Kondratiev, Y., Pirogov, S., Zhizhina, E.: A Quasispecies Continuous Contact Model in a Critical Regime. JOURNAL OF STATISTICAL PHYSICS. 163, 357-373 (2016).
Kondratiev, Yuri, Pirogov, Sergey, and Zhizhina, Elena. “A Quasispecies Continuous Contact Model in a Critical Regime”. JOURNAL OF STATISTICAL PHYSICS 163.2 (2016): 357-373.