Markov evolutions and hierarchical equations in the continuum. I: one-component systems

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D. L. Finkelshtein, Yu. G. Kondratiev, and O. Kutovyi. Individual based model with competition in spatial ecology. SIAM J. Math. Anal. (to appear).

Finkelshtein D.L., Kondratiev Yu.G., Lytvynov E.W.: Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics. Random Oper. Stochastic Equations 15, 105–126 (2007)

D. L. Finkelshtein, Yu. G. Kondratiev, and M. J. Oliveira. Markov evolutions and hierarchical equations in the continuum II. Multicomponent systems. In preparation, 2009.

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Kondratiev Yu.G., Kuna T.: Harmonic analysis on configuration space I. General theory. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5(2), 201–233 (2002)

Kondratiev Yu.G., Kuna T.: Correlation functionals for Gibbs measures and Ruelle bounds. Methods Funct. Anal. Topology 9(1), 9–58 (2003)

Yu. G. Kondratiev and T. Kuna. Harmonic analysis on configuration space II. Bogoliubov functional and equilibrium states. In preparation, 2009.

Kondratiev Yu.G., Kuna T., Oliveira M.J.: On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces. J. Funct. Anal. 213(1), 1–30 (2004)

Kondratiev Yu.G., Kuna T., Oliveira M.J.: Holomorphic Bogoliubov functionals for interacting particle systems in continuum. J. Funct. Anal. 238(2), 375–404 (2006)

Yu. G. Kondratiev, T. Kuna, M. J. Oliveira, J. L. Silva, and L. Streit. Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems. Preprint, 2008. http://www.math.uni-bielefeld.de/sfb701/preprints/sfb08082.pdf .

Kondratiev Yu.G., Kutovyi O., Minlos R.A.: On non-equilibrium stochastic dynamics for interacting particle systems in continuum. J. Funct. Anal. 255(1), 200–227 (2008)

Kondratiev Yu.G., Kutoviy O., Pirogov S.: Correlation functions and invariant measures in continuous contact model. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11(2), 231–258 (2008)

Kondratiev Yu., Kutoviy O., Zhizhina E.: Nonequilibrium Glauber-type dynamics in continuum. J. Math. Phys. 47(11), 113501 (2006)

Kondratiev Yu., Lytvynov E.: Glauber dynamics of continuous particle systems. Ann. Inst. H. Poincaré Probab. Statist. 41, 685–702 (2005)

Kondratiev Yu.G., Lytvynov E., Röckner M.: Equilibrium Kawasaki dynamics of continuous particle systems. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10(2), 185–209 (2007)

Yu. G. Kondratiev, E. Lytvynov, and M. Röckner. Non-equilibrium stochastic dynamics in continuum: the free case. Condensed Matter Physics (to appear).

Kondratiev Yu., Skorokhod A.: On contact processes in continuum. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9(2), 187–198 (2006)

T. Kuna. Studies in Configuration Space Analysis and Applications. PhD thesis, Bonner Mathematische Schriften Nr.324, University of Bonn, 1999.

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