168 citations · 281 across the 17 of their papers we have counts for
9 papers · 1 filter
Stability of a Stochastic Ring Network
Jaap Storm, Wouter Kager, Michel Mandjes +1
In this paper we establish a necessary and sufficient stability condition for a stochastic ring network. Such networks naturally appear in a variety of applications within communic…
The asymptotics of group Russian roulette
Tim van de Brug, Wouter Kager, Ronald Meester
We study the group Russian roulette problem, also known as the shooting problem, defined as follows. We have armed people in a room. At each chime of a clock, everyone shoots a…
The signed loop approach to the Ising model: foundations and critical point
Wouter Kager, Marcin Lis, Ronald Meester
The signed loop method is a beautiful way to rigorously study the two-dimensional Ising model with no external field. In this paper, we explore the foundations of the method, inclu…
Stochastic domination and weak convergence of conditioned Bernoulli random vectors
Erik Broman, Tim van de Brug, Wouter Kager +1
For n>=1 let X_n be a vector of n independent Bernoulli random variables. We assume that X_n consists of M "blocks" such that the Bernoulli random variables in block i have success…
Existence and uniqueness of the stationary measure in the continuous Abelian sandpile
Wouter Kager, Haiyan Liu, Ronald Meester
Let Λbe a finite subset of Z^d. We study the following sandpile model on Λ. The height at any given vertex x of Λis a positive real number, and additions are uniformly distributed…
Diamond Aggregation
Wouter Kager, Lionel Levine
Internal diffusion-limited aggregation is a growth model based on random walk in Z^d. We study how the shape of the aggregate depends on the law of the underlying walk, focusing on…
Pattern theorems, ratio limit theorems and Gumbel maximal clusters for random fields
Remco van der Hofstad, Wouter Kager
We study occurrences of patterns on clusters of size n in random fields on Z^d. We prove that for a given pattern, there is a constant a>0 such that the probability that this patte…
Diffusion constants and martingales for senile random walks
Wouter Kager
We derive diffusion constants and martingales for senile random walks with the help of a time-change. We provide direct computations of the diffusion constants for the time-changed…
Reflected Brownian motion in generic triangles and wedges
Wouter Kager
Consider a generic triangle in the upper half of the complex plane with one side on the real line. This paper presents a tailored construction of a discrete random walk whose conti…