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arXiv · 1403.6990

Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point

E. D. Andjel
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Abstract

We study subcritical two-dimensional oriented percolation seen from its rightmost point on the set of infinite configurations which are bounded above. This a Feller process whose state space is not compact and has no invariant measures. We prove that it converges in distribution to a measure which charges only finite configurations.

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E. D. Andjel. 2014-03-27. Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point. https://doi.org/10.1214/13-aop841

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