Markovian master equations. II. (English) Zbl 0323.60061


60J05 Discrete-time Markov processes on general state spaces
60K35 Interacting random processes; statistical mechanics type models; percolation theory
47Gxx Integral, integro-differential, and pseudodifferential operators
34E05 Asymptotic expansions of solutions to ordinary differential equations
47D03 Groups and semigroups of linear operators
Full Text: DOI EuDML


[1] Bongaarts, P. J. M., Fannes, M., Verbeure, A.: A remark on ergodicity, dissipativity, return to equilibrium. Physica68, 587-594 (1973)
[2] Chernoff, P. R.: Note on product formulae for operator semigroups. J. Functional Anal.2, 238-242 (1968) · Zbl 0157.21501
[3] Davies, E. B.: The harmonic oscillator in a heat bath. Commun. math. Phys.33, 171-186 (1973)
[4] Davies, E. B.: Dynamics of a multi-level Wigner-Weisskopf atom. J. Math. Phys.15, 2036-2041 (1974)
[5] Davies, E. B.: Markovian master equations. Commun. math. Phys.39, 91-110 (1974) · Zbl 0294.60080
[6] Haake, F.: Statistical treatment of open systems by generalised master equations. Springer Tracts in Modern Physics, Vol. 66. Berlin, Heidelberg, New York: Springer 1973
[7] Kato, T.: Wave operators and similarity for some non-self-adjoint operators. Math. Ann.162, 258-279 (1962) · Zbl 0139.31203
[8] Presutti, E., Scacciatelli, E., Sewell, G. S., Wanderlingh, F.: Studies in theC*-algebraic theory of non-equilibrium statistical mechanics. J. Math. Phys.13, 1085-1098 (1972)
[9] Prigogine, I.: The statistical interpretation of non-equilibrium entropy. In: Cohen, E. G. D., Thirring, W. (Eds.): The Boltzmann equation, theory, and applications. Berlin, Heidelberg, New York: Springer 1973
[10] Yosida, K.: Functional analysis. Berlin, Heidelberg, New York: Springer 1965 · Zbl 0126.11504
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.