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

E. D. Andjel (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Domaines: Mathématiques [math]; Probabilités [math.PR]

E. D. Andjel. Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point. 2023. ⟨hal-01113350⟩