59 citations · 231 across the 23 of their papers we have counts for
26 papers
Properties of first passage percolation above the (hypothetical) critical dimension
Kenneth S. Alexander
It is not known (and even physicists disagree) whether first passage percolation (FPP) on has an upper critical dimension , such that the fluctuation exponent $…
Uniform fluctuation and wandering bounds in first passage percolation
Kenneth S. Alexander
We consider first passage percolation on certain isotropic random graphs in . We assume exponential concentration of passage times , on some scale whene…
Geodesics, bigeodesics, and coalescence in first passage percolation in general dimension
Kenneth S. Alexander
We consider geodesics for first passage percolation (FPP) on with iid passage times. As has been common in the literature, we assume that the FPP system satisfies ce…
Geodesics Toward Corners in First Passage Percolation
Kenneth S. Alexander, Quentin Berger
For stationary first passage percolation in two dimensions, the existence and uniqueness of semi-infinite geodesics directed in particular directions or sectors has been considered…
Pinning of a renewal on a quenched renewal
Kenneth S. Alexander, Quentin Berger
We introduce the pinning model on a quenched renewal, which is an instance of a (strongly correlated) disordered pinning model. The potential takes value 1 at the renewal times of…
Local asymptotics for the first intersection of two independent renewals
Kenneth S. Alexander, Quentin Berger
We study the intersection of two independent renewal processes, . Assuming that and $\mathbf{P}(σ_1 = n ) = \tildeφ(n)\, n^{-(1…