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arxiv: 1408.0805 · v3 · pith:SVMW7TOBnew · submitted 2014-08-04 · 🧮 math.PR

Subcritical Contact Process Seen from the Edge: Convergence to Quasi-Equilibrium

classification 🧮 math.PR
keywords contactprocessseensubcriticalconfigurationsconvergenceconvergesdistribution
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The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on finite configurations.

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