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math-ph2025
Long-term behavior of the master equation on a countable network and approximation methods of the (stationary) solutions via finite subsystems in the thermodynamic limit
Bernd Michael Fernengel, Thilo Gross, Wolfram Just
The Master equation on directed networks - also called the differential Chapman-Kolmogorov equation - is a linear differential equation, which describes the probability evolution i…
math-ph2021★ 6 cited
Obtaining the long-term behavior of Master equations with finite state space from the structure of the associated state transition network
Bernd Fernengel, Barbara Drossel
The Master equation describes the time evolution of the probabilities of a system with a discrete state space. This time evolution approaches for long times a stationary state that…