Glauber dynamics in the continuum via generating functionals evolution

Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Oliveira, Maria João

http://hdl.handle.net/10400.2/2593

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Authors

Finkelshtein, Dmitri L.

Kondratiev, Yuri G.

Oliveira, Maria João

Abstract(s)

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.

Keywords

Generating functional Glauber dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling

URI

http://hdl.handle.net/10400.2/2593

Citation

Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-945