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      Functional evolutions for homogeneous stationary death-immigration spatial dynamics

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          Abstract

          We discover death-immigration non-equilibrium stochastic dynamics in the continuum also known as the Surgailis process. Explicit expression for the correlation functions is presented. Dynamics of states and their generating functionals are studied. Ergodic properties for the evolutions are considered.

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          Most cited references11

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          Superstable interactions in classical statistical mechanics

          D Ruelle (1970)
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            Individual Based Model with Competition in Spatial Ecology

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              Nearest neighbor birth and death processes on the real line

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                Author and article information

                Journal
                2011-07-19
                Article
                1107.3627
                cafc1230-0d78-4f82-ac3f-45a5fb3db113

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                82C22, 82C21, 60K35
                Methods of Functional Analysis and Topology, 2011, 17(4), p. 300-318
                math-ph math.DS math.FA math.MP

                Mathematical physics,Differential equations & Dynamical systems,Functional analysis,Mathematical & Computational physics

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