
doi: 10.1007/bf01351898
We prove some theorems on the behaviour of solutions of master equations in the weak coupling limit, obtaining an exponential decay law under more general conditions than in an earlier paper. As well as applying the theory to a new type of example, we analyse some previously unstudied aspects of the dissipative behaviour.
Differential equations in abstract spaces, Interacting random processes; statistical mechanics type models; percolation theory, Article, Stochastic ordinary differential equations (aspects of stochastic analysis), Integral, integro-differential, and pseudodifferential operators, Asymptotic theory of functional-differential equations, Groups and semigroups of linear operators, 510.mathematics, Discrete-time Markov processes on general state spaces, Asymptotic expansions of solutions to ordinary differential equations
Differential equations in abstract spaces, Interacting random processes; statistical mechanics type models; percolation theory, Article, Stochastic ordinary differential equations (aspects of stochastic analysis), Integral, integro-differential, and pseudodifferential operators, Asymptotic theory of functional-differential equations, Groups and semigroups of linear operators, 510.mathematics, Discrete-time Markov processes on general state spaces, Asymptotic expansions of solutions to ordinary differential equations
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