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

Abstract

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.

References in corpus (3)

• Quasi-stationary distributions and population processes
• Subcritical Contact Process Seen from the Edge: Convergence to Quasi-Equilibrium
• Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point

Cited by in corpus (2)

• Subcritical Contact Process Seen from the Edge: Convergence to Quasi-Equilibrium
• Scaling limit of subcritical contact process