@article{AIHPB_2005__41_4_685_0,
author = {Kondratiev, Yuri and Lytvynov, Eugene},
title = {Glauber dynamics of continuous particle systems},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {41},
year = {2005},
pages = {685-702},
doi = {10.1016/j.anihpb.2004.05.002},
mrnumber = {2144229},
zbl = {1085.60074},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2005__41_4_685_0}
}
Kondratiev, Yuri; Lytvynov, Eugene. Glauber dynamics of continuous particle systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) pp. 685-702. doi : 10.1016/j.anihpb.2004.05.002. http://gdmltest.u-ga.fr/item/AIHPB_2005__41_4_685_0/
[1] , , , Analysis and geometry on configuration spaces, J. Funct. Anal. 154 (1998) 444-500. | MR 1612725 | Zbl 0914.58028
[2] , , , Analysis and geometry on configuration spaces. The Gibbsian case, J. Funct. Anal. 157 (1998) 242-291. | MR 1637949 | Zbl 0931.58019
[3] , , Dirichlet form methods for uniqueness of martigale problems and applications, in: , (Eds.), Stochastic Analysis, Proceedings of Symposia in Pure Mathematics, vol. 57, Amer. Math. Soc., 1995, pp. 513-528. | MR 1335494 | Zbl 0824.31005
[4] , , Spectral Methods in Infinite Dimensional Analysis, Kluwer Academic, Dordrecht, 1994. | Zbl 0832.47001
[5] , , , , On a spectral representation for correlation measures in configuration space analysis, Methods Funct. Anal. Topol. 5 (4) (1999) 87-100. | MR 1773905 | Zbl 0955.60050
[6] , , , The spectral gap for a Glauber-type dynamics in a continuous gas, Ann. Inst. H. Poincaré Probab. Statist. 38 (2002) 91-108. | Numdam | MR 1899231 | Zbl 0994.82054
[7] , Dirichlet Forms and Symmetric Markov Processes, North-Holland, Amsterdam, 1980.
[8] , , Nearest neighbor birth and death processes on the real line, Acta Math. 140 (1987) 103-154. | MR 488380 | Zbl 0405.60090
[9] , Random Measures, Academic Press, 1975. | MR 431373 | Zbl 0345.60032
[10] , Dirichlet operators and the smoothness of solutions of infinite-dimensional elliptic equations, Dokl. Akad. Nauk SSSR 282 (1985) 269-273, (in Russian). | MR 788994 | Zbl 0622.47050
[11] , , Harmonic analysis on configuration spaces I. General theory, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5 (2002) 201-233. | MR 1914839 | Zbl 02102805
[12] T. Kuna, Studies in configuration space analysis and applications, PhD Thesis, Bonn University, 1999. | MR 1932768 | Zbl 0960.60101
[13] , Properties of marked Gibbs measures in high temperature regime, Methods Funct. Anal. Topol. 7 (3) (2001) 33-53. | MR 1886464 | Zbl 0984.82017
[14] , , An Introduction to the Theory of (Non-Symmetric) Dirichlet Forms, Springer-Verlag, 1992. | Zbl 0826.31001
[15] , , Construction of diffusions on configuration spaces, Osaka J. Math. 37 (2000) 273-314. | MR 1772834 | Zbl 0968.58028
[16] , , Integral and differentiable characterizations of the Gibbs process, Math. Nachr. 88 (1979) 105-115. | MR 543396 | Zbl 0444.60040
[17] , Spatial birth-and-death processes, in: Proceedings of the 40th Session of the International Statistical Institute (Warsaw, 1975), vol. 2, Bull. Inst. Internat. Statist., vol. 46, 1975, pp. 371-391. | MR 474532 | Zbl 0379.60082
[18] , , Methods of Modern Mathematical Physics, vol. 2. Fourier Analysis, Self-Adjointness, Academic Press, 1972. | MR 493419 | Zbl 0308.47002
[19] , , A support property for infinite-dimensional interacting diffusion processes, C. R. Acad. Sci. Paris, Sér. I 326 (1998) 359-364. | MR 1648485 | Zbl 0914.60059
[20] , Statistical Mechanics. Rigorous Results, Benjamins, 1969. | MR 289084 | Zbl 0177.57301
[21] , Superstable interaction in classical statistical mechanics, Comm. Math. Phys. 18 (1970) 127-159. | MR 266565 | Zbl 0198.31101
[22] , On multiple Poisson stochastic integrals and associated Markov semigroups, Probab. Math. Statist. 3 (1984) 217-239. | MR 764148 | Zbl 0548.60058
[23] , On Poisson multiple stochastic integrals and associated equilibrium Markov processes, in: Theory and Application of Random Fields (Bangalore, 1982), Lecture Notes in Control and Inform. Sci., vol. 49, Springer, 1983, pp. 233-248. | MR 799947 | Zbl 0511.60047
[24] L. Wu, Estimate of spectral gap for continuous gas, preprint, 2003.