Vlasov scaling for the Glauber dynamics in continuum
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[1] Dmitri Finkelshtein,et al. Correlation functions evolution for the Glauber dynamics in continuum , 2011 .
[2] D. W. Stroock,et al. Nearest neighbor birth and death processes on the real line , 1978 .
[3] R. Nagel,et al. One-parameter semigroups for linear evolution equations , 1999 .
[4] C. Preston. Spatial birth and death processes , 1975, Advances in Applied Probability.
[5] W. Klein,et al. Rigorous derivation of the Kirkwood–Monroe equation for small activity , 1976 .
[6] Lincoln Chayes,et al. The McKean–Vlasov Equation in Finite Volume , 2009, 0910.4615.
[7] E. Lytvynov,et al. Glauber dynamics of continuous particle systems , 2003, math/0306252.
[8] Oleksandr Kutoviy,et al. On the metrical properties of the configuration space , 2006 .
[9] Mathew D. Penrose,et al. Existence and spatial limit theorems for lattice and continuum particle systems , 2008 .
[10] V. Belavkin,et al. On a general kinetic equation for many–particle systems with interaction, fragmentation and coagulation , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[11] Yuri Kondratiev,et al. On non-equilibrium stochastic dynamics for interacting particle systems in continuum , 2008 .
[12] S. Ethier,et al. Markov Processes: Characterization and Convergence , 2005 .
[13] E. Lytvynov,et al. Equilibrium Kawasaki dynamics of continuous particle systems , 2005 .
[14] A. Lenard,et al. States of classical statistical mechanical systems of infinitely many particles. II. Characterization of correlation measures , 1975 .
[15] A. Lenard,et al. States of classical statistical mechanical systems of infinitely many particles. I , 1975 .
[16] Tobias Kuna,et al. HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY , 2002 .
[17] Dmitri Finkelshtein,et al. An approximative approach for construction of the Glauber dynamics in continuum , 2009 .
[18] J. Kirkwood,et al. Statistical Mechanics of Fusion , 1941 .
[19] Yuri Kondratiev,et al. One-Particle Subspace of the Glauber Dynamics Generator for Continuous Particle Systems , 2004 .
[20] Nancy L. Garcia,et al. Spatial birth and death processes as solutions of stochastic equations , 2006 .
[21] Dmitri Finkelshtein,et al. Individual Based Model with Competition in Spatial Ecology , 2008, SIAM J. Math. Anal..
[22] P. Donnelly. MARKOV PROCESSES Characterization and Convergence (Wiley Series in Probability and Mathematical Statistics) , 1987 .
[23] V. V. Kozlov,et al. Обобщенное кинетическое уравнение Власова@@@The generalized Vlasov kinetic equation , 2008 .
[24] Yu. M. Sukhov,et al. Dynamical Systems of Statistical Mechanics , 1989 .
[25] Yuri Kondratiev,et al. Nonequilibrium Glauber-type dynamics in continuum , 2006 .
[26] Filippo Cesi,et al. The spectral gap for a Glauber-type dynamics in a continuous gas☆ , 2002 .
[27] Jan van Neerven,et al. The Adjoint of a Semigroup of Linear Operators , 1992 .
[28] X. Qi. A functional central limit theorem for spatial birth and death processes , 2008, Advances in Applied Probability.
[29] V. Belavkin. Multiquantum systems and point processes I. Generating functionals and nonlinear semigroups , 1989 .
[30] Dmitri Finkelshtein,et al. Vlasov Scaling for Stochastic Dynamics of Continuous Systems , 2010 .
[31] Yuri G. Kondratiev,et al. Markov evolutions and hierarchical equations in the continuum. I: one-component systems , 2007, 0707.0619.
[32] C. Chou. The Vlasov equations , 1965 .
[33] H. Spohn. Kinetic equations from Hamiltonian dynamics: Markovian limits , 1980 .
[34] Yuri G. Kondratiev,et al. Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics , 2006 .
[35] W. Braun,et al. The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles , 1977 .
[36] Nancy L. Garcia,et al. Spatial Point Processes and the Projection Method , 2008 .
[37] H. Spohn. Large Scale Dynamics of Interacting Particles , 1991 .