Dr Agelos Georgakopoulos
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Infinite graphs, and their interactions with other fields of mathematics. In particular Potential Theory, Stochastic Processes, (Algebraic) Topology, and Groups acting on graphs. Random walks on infinite and finite graphs.
Selected recent publications:
A. Georgakopoulos and Matthias Hamann. The planar Cayley graphs are effectively enumerable. Preprint 2015.
A. Georgakopoulos. The Boundary of a Square Tiling of a Graph coincides with the Poisson Boundary. To appear in Invent. Math.
A. Georgakopoulos. Cycle decompositions: from graphs to continua. Advances in Mathematics, 229(2):935–967, 2012.
A. Georgakopoulos. Infinite Hamilton Cycles in Squares of Locally Finite Graphs. Advances in Mathematics, 220:670–705, 2009.