5 citations · 38 across the 26 of their papers we have counts for
8 papers · 1 filter
The interior of randomly perturbed self-similar sets on the line
Michel Dekking, Karoly Simon, Balazs Szekely +1
Can we find a self-similar set on the line with positive Lebesgue measure and empty interior? Currently, we do not have the answer for this question for deterministic self-similar…
Plumes in kinetic transport: how the simple random walk can be too simple
Michel Dekking, Derong Kong, Annegreet van Opbroek
We consider a discrete time particle model for kinetic transport on the two dimensional integer lattice. The particle can move due to advection in the -direction and due to disp…
A simple stochastic reactive transport model
Michel Dekking, Derong Kong
We introduce a discrete time microscopic single particle model for kinetic transport. The kinetics is modeled by a two-state Markov chain, the transport by deterministic advection…
Multimodality of the Markov binomial distribution
Michel Dekking, Derong Kong
We study the shape of the probability mass function of the Markov binomial distribution, and give necessary and sufficient conditions for the probability mass function to be unimod…
Understanding the non-Gaussian nature of reactive solute transport. From particle dynamics to the partial differential equations
Gerard Uffink, Amro Elfeki, Michel Dekking +2
In the present study we examine non-Gaussian spreading of solutes subject to advection, dispersion and kinetic sorption (adsorption/desorption). We start considering the behavior o…
Correlated fractal percolation and the Palis conjecture
Michel Dekking, Henk Don
Let F1 and F2 be independent copies of correlated fractal percolation, with Hausdorff dimensions dimH(F1) and dimH(F2). Consider the following question: does dimH(F1)+dimH(F2)>1 im…