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20102019
most citedStrong Stationary Duality for Möbius monotone Markov chains: examples

2 citations · 5 across the 6 of their papers we have counts for

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math.PR2011★ 1 cited

Strong Stationary Duality for Möbius Monotone Markov Chains: Unreliable Networks

Pawel Lorek, Ryszard Szekli

For Markov chains with a partially ordered finite state space we show strong stationary duality under the condition of Möbius monotonicity of the chain. We show relations of Möbius…

math.PR2011

Computable bounds on the spectral gap for unreliable Jackson networks

Pawel Lorek, Ryszard Szekli

The goal of this paper is to identify exponential convergence rates and to find computable bounds for them for Markov processes representing unreliable Jackson networks. First we u…