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math.PR2016
The greedy walk on an inhomogeneous Poisson process
Katja Gabrysch, Erik Thörnblad
The greedy walk is a deterministic walk that always moves from its current position to the nearest not yet visited point. In this paper we consider the greedy walk on an inhomogene…
math.PR2015★ 2 cited
The dominating colour of an infinite Pólya urn model
Erik Thörnblad
We study a Pólya-type urn model defined as follows. Start at time 0 with a single ball of some colour. Then, at each time n>0, choose a ball from the urn uniformly at random. With…
math.PR2014★ 13 cited
Asymptotic degree distribution of a duplication-deletion random graph model
Erik Thörnblad
We study a discrete-time duplication-deletion random graph model and analyse its asymptotic degree distribution. The random graphs consists of disjoint cliques. In each time step e…