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math.PR2023★ 8 cited
On the Poisson equation for nonreversible Markov jump processes
Faezeh Khodabandehlou, Christian Maes, Karel Netočný
We study the solution of the Poisson equation where is the backward generator of an irreducible (finite) Markov jump process and is a given centered state fu…
math.PR2022★ 5 cited
Drazin-Inverse and heat capacity for driven random walks on the ring
Faezeh Khodabandehlou, Irene Maes
We apply single and double tree-like representations of Markov jump processes on for obtaining their nonequilibrium heat capacity and for taking the diffusion limit…