Professor Agelos Georgakopoulos
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No Teaching Responsibilities 2021/22
Infinite or finite graphs, and their interactions with other fields of mathematics. In particular Potential Theory, Stochastic Processes, and Groups acting on graphs. Random walks on infinite and finite graphs.
Lecture Notes on MA3H2 "Markov Processes and Percolation Theory".
A. Georgakopoulos and C. Panagiotis. Analyticity results in Bernoulli percolation. To appear in Memoirs of the AMS.
A. Georgakopoulos. On Planar Cayley graphs and Kleinian groups. Trans. Amer. Math. Soc. Vol. 373, pp. 4649-4684, 2020.
A. Georgakopoulos, J. Haslegrave, R. Montgomery and B. Narayanan. Spanning surfaces in 3-graphs. To appear in JEMS.
A. Georgakopoulos and M. Hamann. The planar Cayley graphs are effectively enumerable I: consistently planar graphs. Combinatorica, Vol. 39 (5), pp. 993-1019, 2019.
A. Georgakopoulos. The planar cubic Cayley graphs. Memoirs of the AMS, 250, no. 1190, 2017.
A. Georgakopoulos, S. Haeseler, M. Keller, D. Lenz, and R. K. Wojciechowski. Graphs of finite measure . Journal de Mathematiques Pures et Appliquees, 103(5), pp. 1093-1131, 2015.
A. Georgakopoulos. The Boundary of a Square Tiling of a Graph coincides with the Poisson Boundary. Invent. Math., 203(3), pp. 773-821, 2016.
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.