48 citations · 169 across the 56 of their papers we have counts for
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Analyticity results in Bernoulli Percolation
Agelos Georgakopoulos, Christoforos Panagiotis
We prove that for Bernoulli percolation on , , the percolation density is an analytic function of the parameter in the supercritical interval. For this we in…
Invariant spanning double rays in amenable groups
Agelos Georgakopoulos, Florian Lehner
A well-known result of Benjamini, Lyons, Peres, and Schramm states that if is a finitely generated Cayley graph of a group , then is amenable if and only if admits a…
Spanning surfaces in 3-graphs
Agelos Georgakopoulos, John Haslegrave, Richard Montgomery +1
We prove a topological extension of Dirac's theorem suggested by Gowers in 2005: for any connected, closed surface , we show that any two-dimensional simplicial comple…
Forcing large tight components in 3-graphs
Agelos Georgakopoulos, John Haslegrave, Richard Montgomery
Any -vertex -graph with minimum codegree at least must have a spanning tight component, but immediately below this threshold it is possible for no tight…