20 citations · 20 across the 5 of their papers we have counts for
5 papers
Absence of backward infinite paths for first-passage percolation in arbitrary dimension
Gerandy Brito, Michael Damron, Jack Hanson
In first-passage percolation (FPP), one places nonnegative random variables (weights) on the edges of a graph and studies the induced weighted graph metric. We consider FPP…
Geodesic rays and exponents in ergodic planar first passage percolation
Gerandy Brito, Christopher Hoffman
We study first passage percolation on the plane for a family of invariant, ergodic measures on . We prove that for all of these models the asymptotic shape is the $\e…
Spectral gap in random bipartite biregular graphs and applications
Gerandy Brito, Ioana Dumitriu, Kameron Decker Harris
We prove an analogue of Alon's spectral gap conjecture for random bipartite, biregular graphs. We use the Ihara-Bass formula to connect the non-backtracking spectrum to that of the…
Ewens sampling and invariable generation
Gerandy Brito, Christopher Fowler, Matthew Junge +1
We study the number of random permutations needed to invariably generate the symmetric group, , when the distribution of cycle counts has the strong -logarithmic property.…
Recovery and Rigidity in a Regular Stochastic Block Model
Gerandy Brito, Ioana Dumitriu, Shirshendu Ganguly +2
The stochastic block model is a natural model for studying community detection in random networks. Its clustering properties have been extensively studied in the statistics, physic…