Ergodicity of non-equilibrium Glauber dynamics in continuum

Kondratiev Y, Kutoviy O, Minlos R (2010)
JOURNAL OF FUNCTIONAL ANALYSIS 258(9): 3097-3116.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kondratiev, YuriUniBi; Kutoviy, Oleksandr; Minlos, Robert
Abstract / Bemerkung
We study asymptotic properties of the continuous Glauber dynamics with unbounded death and constant birth rates. In particular, an information about the location of the spectrum for the symbol of the Markov generator is obtained. The latter fact is used for the proof of the ergodicity of this process. We show that the speed of convergence to the equilibrium is exponential. (C) 2009 Elsevier Inc. All rights reserved.
Stichworte
Configuration space; Ergodicity of Markov; process; Continuous Glauber dynamics
Erscheinungsjahr
2010
Zeitschriftentitel
JOURNAL OF FUNCTIONAL ANALYSIS
Band
258
Ausgabe
9
Seite(n)
3097-3116
ISSN
0022-1236
Page URI
https://pub.uni-bielefeld.de/record/1796588

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Kondratiev Y, Kutoviy O, Minlos R. Ergodicity of non-equilibrium Glauber dynamics in continuum. JOURNAL OF FUNCTIONAL ANALYSIS. 2010;258(9):3097-3116.
Kondratiev, Y., Kutoviy, O., & Minlos, R. (2010). Ergodicity of non-equilibrium Glauber dynamics in continuum. JOURNAL OF FUNCTIONAL ANALYSIS, 258(9), 3097-3116. doi:10.1016/j.jfa.2009.09.005
Kondratiev, Y., Kutoviy, O., and Minlos, R. (2010). Ergodicity of non-equilibrium Glauber dynamics in continuum. JOURNAL OF FUNCTIONAL ANALYSIS 258, 3097-3116.
Kondratiev, Y., Kutoviy, O., & Minlos, R., 2010. Ergodicity of non-equilibrium Glauber dynamics in continuum. JOURNAL OF FUNCTIONAL ANALYSIS, 258(9), p 3097-3116.
Y. Kondratiev, O. Kutoviy, and R. Minlos, “Ergodicity of non-equilibrium Glauber dynamics in continuum”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 258, 2010, pp. 3097-3116.
Kondratiev, Y., Kutoviy, O., Minlos, R.: Ergodicity of non-equilibrium Glauber dynamics in continuum. JOURNAL OF FUNCTIONAL ANALYSIS. 258, 3097-3116 (2010).
Kondratiev, Yuri, Kutoviy, Oleksandr, and Minlos, Robert. “Ergodicity of non-equilibrium Glauber dynamics in continuum”. JOURNAL OF FUNCTIONAL ANALYSIS 258.9 (2010): 3097-3116.