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.

Full Text

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},
  MRNUMBER = {MR2907359},
       URL = {http://mfat.imath.kiev.ua/article/?id=604},
}