3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.PR2019
Power Lower Bounds for the Central Moments of the Last Passage Time for Directed Percolation in a Thin Rectangle
Christian Houdré, Chen Xu
In directed last passage site percolation with i.i.d.~random weights with finite support over a grid, we prove that for large enough, the order of t…
math.PR2018★ 1 cited
Lower bounds for fluctuations in first-passage percolation for general distributions
Michael Damron, Jack Hanson, Christian Houdré +1
In first-passage percolation (FPP), one assigns i.i.d.~weights to the edges of the cubic lattice and analyzes the induced weighted graph metric. If is the d…
math.PR2016★ 3 cited
Concentration of Geodesics in Directed Bernoulli Percolation
Christian Houdré, Chen Xu
For directed Bernoulli last passage percolation with i.i.d.~weights on vertices over a grid and for large enough, the geodesics are shown to be concentrated in a cy…