47 citations · 297 across the 23 of their papers we have counts for
Showing 2015 · math.PRShow all
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math.PR2015★ 1 cited
Bounds to the normal for proximity region graphs
Larry Goldstein, Tobias Johnson, Raphaël Lachièze-Rey
In a proximity region graph in , two distinct points of a point process are connected when the 'forbidden region' these points determine…
math.PR2015★ 42 cited
Size biased couplings and the spectral gap for random regular graphs
Nicholas A. Cook, Larry Goldstein, Tobias Johnson
Let be the second largest eigenvalue in absolute value of a uniform random -regular graph on vertices. It was famously conjectured by Alon and proved by Friedman that if…
math.PR2015★ 47 cited
From transience to recurrence with Poisson tree frogs
Christopher Hoffman, Tobias Johnson, Matthew Junge
Consider the following interacting particle system on the -ary tree, known as the frog model: Initially, one particle is awake at the root and i.i.d. Poisson many particles are…