Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point
classification
🧮 math.PR
keywords
configurationsdistributionorientedpercolationpointrightmostseensubcritical
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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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