Open Access

Functional evolutions for homogeneous stationary death-immigration spatial dynamics

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.

Article Information

 Title Functional evolutions for homogeneous stationary death-immigration spatial dynamics Source Methods Funct. Anal. Topology, Vol. 17 (2011), no. 4, 300-318 MathSciNet MR2907359 Copyright The Author(s) 2011 (CC BY-SA)

Authors Information

D. Finkelshtein
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

Citation Example

D. Finkelshtein, Functional evolutions for homogeneous stationary death-immigration spatial dynamics, Methods Funct. Anal. Topology 17 (2011), no. 4, 300-318.

BibTex

@article {MFAT604,
AUTHOR = {Finkelshtein, D.},
TITLE = {Functional evolutions for homogeneous stationary death-immigration spatial dynamics},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {17},
YEAR = {2011},
NUMBER = {4},
PAGES = {300-318},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=604},
}