Glauber Dynamics in the Continuum via Generating Functionals Evolution
Finkelshtein DL, Kondratiev Y, Oliveira MJ (2012)
Complex Analysis and Operator Theory 6(4): 923-945.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Finkelshtein, Dmitri L.;
Kondratiev, YuriUniBi;
Oliveira, Maria Joao
Einrichtung
Abstract / Bemerkung
We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
Stichworte
Glauber dynamics;
Generating functional;
Interacting particle system;
Continuous system;
Vlasov scaling;
Ovsjannikov's method
Erscheinungsjahr
2012
Zeitschriftentitel
Complex Analysis and Operator Theory
Band
6
Ausgabe
4
Seite(n)
923-945
ISSN
1661-8254
Page URI
https://pub.uni-bielefeld.de/record/2523705
Zitieren
Finkelshtein DL, Kondratiev Y, Oliveira MJ. Glauber Dynamics in the Continuum via Generating Functionals Evolution. Complex Analysis and Operator Theory. 2012;6(4):923-945.
Finkelshtein, D. L., Kondratiev, Y., & Oliveira, M. J. (2012). Glauber Dynamics in the Continuum via Generating Functionals Evolution. Complex Analysis and Operator Theory, 6(4), 923-945. doi:10.1007/s11785-011-0170-1
Finkelshtein, Dmitri L., Kondratiev, Yuri, and Oliveira, Maria Joao. 2012. “Glauber Dynamics in the Continuum via Generating Functionals Evolution”. Complex Analysis and Operator Theory 6 (4): 923-945.
Finkelshtein, D. L., Kondratiev, Y., and Oliveira, M. J. (2012). Glauber Dynamics in the Continuum via Generating Functionals Evolution. Complex Analysis and Operator Theory 6, 923-945.
Finkelshtein, D.L., Kondratiev, Y., & Oliveira, M.J., 2012. Glauber Dynamics in the Continuum via Generating Functionals Evolution. Complex Analysis and Operator Theory, 6(4), p 923-945.
D.L. Finkelshtein, Y. Kondratiev, and M.J. Oliveira, “Glauber Dynamics in the Continuum via Generating Functionals Evolution”, Complex Analysis and Operator Theory, vol. 6, 2012, pp. 923-945.
Finkelshtein, D.L., Kondratiev, Y., Oliveira, M.J.: Glauber Dynamics in the Continuum via Generating Functionals Evolution. Complex Analysis and Operator Theory. 6, 923-945 (2012).
Finkelshtein, Dmitri L., Kondratiev, Yuri, and Oliveira, Maria Joao. “Glauber Dynamics in the Continuum via Generating Functionals Evolution”. Complex Analysis and Operator Theory 6.4 (2012): 923-945.
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