48 citations · 169 across the 56 of their papers we have counts for
13 papers · 1 filter
Random triangulations of the d-sphere with minimum volume
Agelos Georgakopoulos, John Haslegrave, Joel Larsson Danielsson
We study a higher-dimensional analogue of the {Random Travelling Salesman Problem}: let the complete -dimensional simplicial complex on vertices be equipped with i…
A Notion of Dimension based on Probability on Groups
Agelos Georgakopoulos
We introduce notions of dimension of an infinite group, or more generally, a metric space, defined using percolation. Roughly speaking, the percolation dimension of a gro…
On the exponential growth rates of lattice animals and interfaces II: new asymptotic bounds
Agelos Georgakopoulos, Christoforos Panagiotis
We introduce a method for translating any upper bound on the percolation threshold of a lattice into a lower bound on the exponential growth rate of lattice animals and…
Analyticity of the percolation density in all dimensions
Agelos Georgakopoulos, Christoforos Panagiotis
We prove that for Bernoulli bond percolation on , the percolation density is an analytic function of the parameter in the supercritical interval .…
A time-invariant random graph with splitting events
Agelos Georgakopoulos, John Haslegrave
We introduce a process where a connected rooted multigraph evolves by splitting events on its vertices, occurring randomly in continuous time. When a vertex splits, its incoming ed…
Convergence of square tilings to the Riemann map
Agelos Georgakopoulos, Christoforos Panagiotis
A well-known theorem of Rodin \& Sullivan, previously conjectured by Thurston, states that the circle packing of the intersection of a lattice with a simply connected planar domain…