3 papers
math.CO2023
A study of 2-ended graphs via harmonic functions
Agelos Georgakopoulos, Alex Wendland
We prove that every recurrent graph quasi-isometric to admits an essentially unique Lipschitz harmonic function . If is vertex-transitive, then the action o…
math.CO2020
Presentations for Vertex Transitive Graphs
Agelos Georgakopoulos, Matthias Hamann, Alex Wendland
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allowing some vertices to obey different relators than others. The resulting notion o…
math.PR2019
From the Bernoulli Factory to a Dice Enterprise via Perfect Sampling of Markov Chains
Giulio Morina, Krzysztof Latuszynski, Piotr Nayar +1
Given a -coin that lands heads with unknown probability , we wish to produce an -coin for a given function . This problem is commonly known…