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On the threshold of spread-out contact process percolation

Budapest - Vienna Probability Seminar

Date: Friday, March 6, 2020 16:30 - 17:20
Speaker: Balázs Ráth (TU Budapest=BME)
Location: Rényi Institute, Budapest
Series: Mathematics and CS Seminar
Host: M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli


In the (spread-out) d-dimensional contact process, vertices  can be healthy or infected. With rate one infected sites recover, and with rate lambda they transmit the infection to some other vertex chosen uniformly within a ball of radius R. In configurations sampled from the upper stationary distribution, we study nearest-neighbor site percolation of the set of infected sites and describe the asymptotic behaviour of the associated percolation threshold as R tends to infinity. Joint work with Daniel Valesin.

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