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arxiv: 1412.0700 · v2 · pith:DHR7WCVDnew · submitted 2014-12-01 · 🧮 math.DS · math.PR

Interacting two-state Markov chains on undirected networks

classification 🧮 math.DS math.PR
keywords chainsinteractingmarkovtwo-statebilinearcontinuous-timeelementaryentropy
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It is shown that irreducible two-state continuous-time Markov chains interacting on a network in a bilinear fashion have a unique stable steady state. The proof is elementary and uses the relative entropy function.

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