Interaction of Markov processes

Advances in Mathematics - Tập 5 Số 2 - Trang 246-290 - 1970
Frank Spitzer1
1Department of Mathematics, Cornell University, Ithaca, New York, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Arnold, 1968

Derman, 1955, Some contributions to the theory of denumerable Markov chains, Trans. Amer. Math. Soc., 79, 541, 10.1090/S0002-9947-1955-0070883-3

Dobrushin, 1968, Description of a random field by means of conditional probabilities and its regularity conditions, Probability Theory and its Applications, 13, 197, 10.1137/1113026

Dobrushin, 1969, Markov Processes in an Infinite Product of Discrete Spaces

Doob, 1953

Harris, 1965, Diffusion with collisions between particles, J. Appl. Probability, 2, 323, 10.2307/3212197

T. E. Harris, Random measures and motions of point processes, to appear.

Fisher, 1969, Decay of correlations in linear systems, J. Chem. Phys., 9, 3756, 10.1063/1.1671624

Holley, 1970, A class of interactions in an infinite particle system, Advances in Math., 5, 291, 10.1016/0001-8708(70)90035-6

Khinchin, 1949

Ruelle, 1969

Ruelle, 1969, Statistical mechanics of a one-dimensional lattice gas, Comm. Math. Phys., 9, 267, 10.1007/BF01654281

Ryll-Nardzewski, 1961, Remarks on Processes of Calls, Vol. 2, 455

Spitzer, 1969, Random Processes Defined Through the Interaction of an Infinite Particle System, Vol. 89, 201

Spitzer, 1969, Uniform motion with elastic collision of an infinite particle system, J. Math. Mech., 18, 973

Stone, 1968, On a theorem of Dobrushin, Ann. Math. Statist., 39, 1391, 10.1214/aoms/1177698120

Thedéen, 1967, Convergence and invariance questions for point systems in R1 under random motion, Ark. Mat., 7, 211, 10.1007/BF02591629