Existence and uniqueness of the stationary measure in the continuous Abelian sandpile (2009)
Kager, Wouter, Liu, Haiyan, Meester, Ronald
Let \Lambda be a finite subset of Z^d. We study the following sandpile model on \Lambda. The height at any given vertex x of \Lambda is a positive real number, and additions are uniformly distributed...
Supported by Federal Ministry of Science and Research, Austria (2009)
The Erwin, Schrödinger International Boltzmanngasse, Robert M. Burton, Karma Dajani, Ronald Meester, Robert M. Burton, ...
We consider the entropy of systems of random transformations, where the transformations are chosen from the set of generators of a Zd action. We show that the classical definition gives...
Uniqueness of the stationary distribution and stabilizability in Zhang's sandpile model (2009)
Meester, Ronald; VU University Amsterdam; Rmeester@few.vu.nl, Liu, Haiyan; VU University Amsterdam; Hliu@few.vu.nl
We show that Zhang's sandpile model $(N, [a, b])$ on $N$ sites and with uniform additions on $[a,b]$ has a unique stationary measure for all $0leq a < bleq 1$. This generalizes earlier results of...
Massimo Franceschetti, Ronald Meester
node lifetimes in random networks via the Chen-Stein method
The Erwin, Schrodinger International Pasteurgasse, Robert M. Burton, Robert M. Burton, Karma Dajani, Karma Dajani, ...
for random group actions
A Simple Proof of the Exponential Convergence of the Modified Jacobi-Perron Slgorithm (2007)
It has recently been shown in Ito et al. (1993) that the modified Jacobi-Perron algorithm is strongly convergent (in the sense of Brentjes 1981) almost everywhere with exponential rate. Their proof...
Ronald Meester, Damien G. White
Consider an ordinary Boolean model, that is, a homogeneous Poisson point process in R d, where the points are all centres of random balls with i.i.d. radii. Now let these points move around according...
We show that a cocycle (which is nothing but a generalized random walk with index set Z
A note on percolation in cocycle measures (2007)
We describe infinite clusters which arise in nearest-neighbour percolation for so-called cocycle measures on the square lattice. These measures arise very naturally in the study of random...
Stability and weakly convergent approximations of queueing systems on a circle (2007)
We first consider a `non-greedy ' queueing system on a circle. We present a new and very simple proof of the stability of this system (under the appropriate condition) based on the average...
Modelling and prediction of classical swine fever epidemics (2007)
We propose a new method to analyse outbreak data of an infectious disease such as classical swine fever. The underlying model is a two-type branching process. It is used to deduce information...
On the (ab)use of statistics in the legal case against the nurse Lucia de B. (2007)
Meester, Ronald, Collins, Marieke, Gill, Richard, Van Lambalgen, Michiel
We discuss the statistics involved in the legal case of the nurse Lucia de B. in the Netherlands, 2003–2004. Lucia de B. witnessed an unusually high number of incidents during her shifts, and the...
On the (ab)use of statistics in the legal case against the nurse Lucia de (2006)
Ronald Meester, Michiel Van Lambalgen, Marieke Collins, Richard Gill
We discuss the statistics involved in the legal case of the nurse Lucia de B. in The Netherlands, 2003-2004. Lucia de B. witnessed an unusual high number of incidents during her shifts, and the...
Continuum percolation with unreliable and spread out connections (2005)
Massimo Franceschetti, Lorna Booth, Matthew Cook, Ronald Meester, Jehoshua Bruck
We derive percolation results in the continuum plane that lead to what appears to be a general tendency of many stochastic network models. Namely, when the selection mechanism according to which...
Continuum percolation with unreliable and spread out connections (2005)
Massimo Franceschetti, Lorna Booth, Matthew Cook, Ronald Meester, Jehoshua Bruck
We derive percolation results in the continuum plane that lead to what appears to be a general tendency of many stochastic network models. Namely, when the selection mechanism according to which...
On the (ab)use of statistics in the legal case against the nurse Lucia de B. (2005)
Michiel Lambalgen, Ronald Meester
was sentenced to life imprisonment for allegedly killing or attempting to kill a number of patients in two hospitals where she had worked in the recent
Meester, Ronald, Sjerps, Marjan
The introduction of DNA evidence has transformed human individualization in criminal litigation, but it also introduced daunting statistical, philosophical and practical problems into the process....
Navigation in small world networks a scale-free continuum model (2003)
Massimo Franceschetti, Ronald Meester
The small world phenomenon, the principle that we are all linked by a short chain of intermediate acquaintances, has been investigated in mathematics and social sciences. It has been shown to be...
Covering algorithms, continuum percolation and the geometry of wireless networks (2003)
Lorna Booth, Jehoshua Bruck, Massimo Franceschetti, Ronald Meester
Continuum percolation models where each point of a two-dimensional Poisson point process is the center of a disc of given (or random) radius r, have been extensively studied. In this paper, we...
Percolation in multi-hop wireless networks (2003)
Massimo Franceschetti, Lorna Booth, Matthew Cook, Ronald Meester, Jehoshua Bruck
Models of wireless ad-hoc and sensor networks are often based on the geometric disc abstraction: transmission is assumed to be isotropic, and reliable communication channels are assumed to exist...
Covering algorithms, continuum percolation and the geometry of wireless networks (2003)
Lorna Booth, Jehoshua Bruck, Massimo Franceschetti, Ronald Meester
Continuum percolation models in which each point of a two-dimensional Poisson point process is the centre of a disc of given (or random) radius r, have been extensively studied. In this paper, we...
Random entropy and recurrence (2003)
We show that a cocycle, which is nothing but a generalized random walk with index set ℤd, with bounded step sizes is recurrent whenever its associated random entropy is zero, and transient whenever...
Higher-Dimensional Subshifts of Finite Type, Factor Maps and Measures of Maximal Entropy (2001)
Ronald Meester, Jeffrey E. Steif
We investigate factor maps of higher-dimensional subshifts of finite type. First we give higher-dimensional versions of well known one-dimensional results, including a characterization of...
Infinite Paths With Bounded Or Recurrent Partial Sums (2000)
We consider problems of the following type. Assign independently to each vertex of the square lattice the value +1, with probability p, or \Gamma1, with probability 1 \Gamma p. We ask whether an...
On a Long Range Particle System With Unbounded Flip Rates (2000)
We consider an interacting particle system on f0; 1g Z with non-local, unbounded flip rates. Zeroes flip to one at a rate that depends on the number of ones to the right until we see a zero (the flip...
Modelling and Real Time Prediction of Classical Swine Fever Epidemics (2000)
Ronald Meester, Jan De Koning, Odo Diekmann
We propose a new method to analyse outbreak data of an infectious disease such as classical swine fever. The underlying model is a twotype branching process. It is used to deduce information...
Random Entropy and Recurrence (1998)
We show that a cocycle (which is nothing but a generalized random walk with index set Z d ) with bounded stepsizes is recurrent whenever its associated random entropy is zero, and transient whenever...
Entropy for Random Group Actions (1998)
Robert Burton, Karma Dajani, Ronald Meester
We consider the entropy of systems of random transformations, where the transformations are chosen from the set of generators of a Z d action. We show that the classical definition gives...
Entropy for random group actions (1996)
Robert Burton, Karma Dajani, Ronald Meester
We consider the entropy of systems of random transformations, where the transformations are chosen from a set of generators of a Z