Sharpness versus robustness of the percolation transition in 2D contact processes

Autor: Jakob E. Björnberg, van den Rob Berg, Markus Heydenreich

Publikováno v: van den Berg, J, Bjornberg, J & Heydenreich, M 2015, ' Sharpness versus robustness of the percolation transition in 2D contact processes ', Stochastic Processes and Their Applications, vol. 125, pp. 513-537 . https://doi.org/10.1016/j.spa.2014.09.010
Stochastic Processes and Their Applications, 125, 513-537. Elsevier
Stochastic Processes and their Applications, 125, 513-537

We study versions of the contact process with three states, and with infections occurring at a rate depending on the overall infection density. Motivated by a model described in [17] for vegetation patterns in arid landscapes, we focus on percolation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9d9a8a13e21b8ad6e84559e1edae67f
https://hdl.handle.net/1871.1/609c2663-6c77-47ec-a124-9341a22f14b2

On the asymptotic density in a one-dimensional self-organized critical forest-fire model

Autor: van den Rob Berg, Antal A. Járai

Publikováno v: van den Berg, J & Járai, A A 2005, ' On the asymptotic density in a one-dimensional self-organized critical forest-fire model ', Communications in Mathematical Physics, vol. 253, no. 3, pp. 633-644 . https://doi.org/10.1007/s00220-004-1200-x
Communications in Mathematical Physics, 253(3), 633-644. Springer New York

Consider the following forest-fire model where the possible locations of trees are the sites of ℤ. Each site has two possible states: 'vacant' or 'occupied'. Vacant sites become occupied at rate 1. At each site ignition (by lightning) occurs at ign

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https://hdl.handle.net/1871.1/0942563b-3e2d-4e82-a8bd-c895b5fe66c5

A remark on the Van Lieshout and Baddeley $J$-function for point processes

Autor: van den Rob Berg, T. Bedford

Publikováno v: Advances in Applied Probability, 29(1), 19-25

The empty space function of a stationary point process in ℝd is the function that assigns to each r, r > 0, the probability that there is no point within distance r of O. In a recent paper Van Lieshout and Baddeley study the so-called J-function, w

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https://ir.cwi.nl/pub/1373

On a Combinatorial Conjecture concerning Disjoint Occurrences of Events

Autor: U. Fiebig, van den Rob Berg

Publikováno v: Annals of Probability, 15, 354-374
Annals of Probability Volume 15, Number 1 (1987), 354-374.
Ann. Probab. 15, no. 1 (1987), 354-374

Recently van den Berg and Kesten have obtained a correlation-like inequality for Bernoulli sequences. This inequality, which goes in the opposite direction of the FKG inequality, states that the probability that two monotone (i.e., increasing or decr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e6512b34c03bcc8e370e4985f661a6e
https://ir.cwi.nl/pub/16822