727 citations
- McMaster UniversityCA7 papers
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- Institute of PhysicsPL2 papers
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4 papers · 1 filter
Random Walks on Directed Covers of Graphs
Lorenz A. Gilch, Sebastian Müller
Directed covers of finite graphs are also known as periodic trees or trees with finitely many cone types. We expand the existing theory of directed covers of finite graphs to those…
Convergence Properties of Kemp's q-Binomial Distribution
Stefan Gerhold, Martin Zeiner
We consider Kemp's q-analogue of the binomial distribution. Several convergence results involving the classical binomial, the Heine, the discrete normal, and the Poisson distributi…
Recurrence for branching Markov chains
Sebastian Müller
The question of recurrence and transience of branching Markov chains is more subtle than for ordinary Markov chains; they can be classified in transience, weak recurrence, and stro…
Rate of Escape on the Lamplighter Tree
Lorenz Gilch
Suppose we are given a homogeneous tree of degree , where at each vertex sits a lamp, which can be switched on or off. This structure can be described by t…