32 citations · 49 across the 13 of their papers we have counts for
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math.PR2010
Construction of a short path in high dimensional First Passage Percolation
Olivier Couronné, Nathanaël Enriquez, Lucas Gerin
For First Passage Percolation in Z^d with large d, we construct a path connecting the origin to {x_1 =1}, whose passage time has optimal order \log d/d. Besides, an improved lower…
math.PR2010
Random sampling of lattice paths with constraints, via transportation
Lucas Gerin
We discuss a Monte Carlo Markov Chain (MCMC) procedure for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. We show that an appr…