Three-step master equation: class of parametric stationary solutions

Details Three-step master equation: class of parametric stationary solutions Three-step master equation: class of parametric stationary solutions

2004-02-24

arxiv.org/abs/math-ph/0402068v2

Int. J. Theor. Phys. 44 (2005) 1565-1571

Physics

Mathematical Physics

9 pages, 5 figures

Scientific paper

10.1007/s10773-005-4829-0

We examine the three-step master equation from the standpoint of the general solution of the associated discrete Riccati equation. We report by this means stationary master solutions depending on a free constant parameter, denoted by D, that should be negative in order to assure the positivity of the solution. These solutions correspond to different discrete Markov processes characterized by the value of D, which is related to specific renormalizations of the transition rates of the chain of states

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