Henk J Hilhorst

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The kinetics of the q species pair annihilation reaction (Ai +Aj → ∅ for 1 ≤ i < j ≤ q) in d dimensions is studied by means of analytical considerations and Monte Carlo simulations. In the long-time regime the total particle density decays as ρ(t) ∼ t. For d = 1 the system segregates into single species domains, yielding a different value of α for each q;(More)
I present a concise review of advances realized over the past three years on planar PoissonVoronoi tessellations. These encompass new analytic results, a new Monte Carlo method, and application to experimental data. PACS. PACS 02.50.-r Probability theory, stochastic processes, and statistics – PACS 45.70.Qj Pattern formation – PACS 87.18.-h Multicellular(More)
We consider two stochastic processes, the Gribov process and the general epidemic process, that describe the spreading of an infectious disease. In contrast to the usually assumed case of shortrange infections that lead, at the critical point, to directed and isotropic percolation respectively, we consider long-range infections with a probability(More)
By a new Monte Carlo algorithm we evaluate the sidedness probability pn of a planar Poisson-Voronoi cell in the range 3 ≤ n ≤ 1600. The algorithm is developed on the basis of earlier theoretical work; it exploits, in particular, the known asymptotic behavior of pn as n → ∞. Our pn values all have between four and six significant digits. Accurate n dependent(More)