Correlation functions and invariant measures in continuous contact model

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 11, Issue 2, 2008, Pages 231-258

  Kondratiev, Yuri ^a   Kutoviy, Oleksandr ^a   Pirogov, Sergey ^b  

^a BIELEFELD UNIVERSITY   (Germany)

^b INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

Configuration space; Contact model; Non equilibrium Markov process

Indexed keywords

EID: 45549096075     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025708003038     Document Type: Article

References (19)

1. Yu. M. Berezansky, Yu. G. Kondratiev, T. Kuna and E. V. Lytvynov, On a spectral representation for correlation measures in configuration space analysis, Meth. Funct. Anal. Top. 5 (1999) 87-100.
2. I. I. Gikhman and A. V. Skorohod, The Theory of Stochastic Processes, Vol. II (Springer Verlag, 1975).
3. K. Ito and F. Kappel, Evolution Equations and Approximations, Series on Advances in Mathematics for Applied Sciencies, Vol. 61 (World Scientific, 2002).
4. Yu. G. Kondratiev and T. Kuna, Harmonic analysis on configuration space I. General theory, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5 (2002) 201-233.
5. Yu. G. Kondratiev, T. Kuna, M. J. Oliveira, J. L. da Silva and L. Streit, Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems, SFB-701 Preprint, University of Bielefeld, Bielefeld, Germany (2007).
6. Yu. G. Kondratiev and O. V. Kutoviy, On the metrical properties of the configuration space, Math. Nachr. 279 (2006) 774-783.
7. Yu. G. Kondratiev, O. V. Kutoviy and S. Struckmeier, Contact model with Kawasaki dynamics in continuum, SFB-701 Preprint, University of Bielefeld, Bielefeld, Germany (2007).
8. Yu. G. Kondratiev, E. Lytvynov and M. Röckner, Equilibrium Kawasaki dynamics of continuous particle systems, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (2007) 185-209.
9. Yu. G. Kondratiev, R. Minlos and E. Zhizhina, One-particle subspaces of the generator of Glauber dynamics of continuous particle systems, Rev. Math. Phys. 16 (2004) 1-42.
10. Yu. G. Kondratiev and A. Skorokhod, On contact processes in continuum, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9 (2006) 187-198.
11. A. Lenard, Correlation functions and the uniqueness of the state in classical statistical machanics. I, Commun. Math. Phys. 30 (1973) 35-44.
12. A. Lenard, States of classical statistical mechanical systems of infinitely many particles. I, Arch. Rational Mech. Anal. 59 (1975) 219-239.
13. A. Lenard, States of classical statistical mechanical systems of infinitely many particles. II, Arch. Rational Mech. Anal. 59 (1975) 241-256.
14. T. M. Liggett, Interacting Particle Systems (Springer-Verlag, 1985).
15. R. A. Minlos, Lectures on Statistical Physics, UMN (Russian) No. 1 (1968) 133-190.
16. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 4, Analysis of Operators (Academic Press, 1978).
17. D. Ruelle, Statistical Mechanics (Benjamin, 1969).
18. D. Ruelle, Superstable interactions in classical statistical mechanics, Commun. Math. Phys. 18 (1970) 127-159.
19. W. R. Young, A. J. Roberts and G. Stuhne, Reproductive pair correlations and the clustering of organisms, Nature 412 (2001) 328-331.