activity
20062009
most citedA modified Poincare inequality and its application to First Passage Percolation

6 citations · 10 across the 7 of their papers we have counts for

collaborators

8 papers

cs.DM2009

The threshold for random (1,2)-QSAT

Nadia Creignou, Herve Daude, Uwe Egly +1

The QSAT problem is the quantified version of the SAT problem. We show the existence of a threshold effect for the phase transition associated with the satisfiability of random qua…

math.PR20083 cited

Lower large deviations and laws of large numbers for maximal flows through a box in first passage percolation

Raphaël Rossignol, Marie Théret

We consider the standard first passage percolation model in for . We are interested in two quantities, the maximal flow between the lower half and the u…

math.PR2007

Threshold phenomena on product spaces: BKKKL revisited (once more)

Raphael Rossignol

We revisit the work of Bourgain, Kahn, Kalai, Katznelson and Linial (1992) -- referred to as ``BKKKL'' in the title -- about influences on Boolean functions in order to give a prec…

math.PR2007

Effective resistance on random electrical networks

Michel Benaim, Itai Benjamini, Raphael Rossignol

This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses.…

math.PR2006

Submean variance bound for effective resistance of random electric networks

Itai Benjamini, Raphael Rossignol

We study a model of random electric networks with Bernoulli resistances. In the case of the lattice Z^2, we show that the point-to-point effective resistance between 0 and a vertex…

math.PR20061 cited

Exponential concentration for First Passage Percolation through modified Poincare inequalities

Michel Benaim, Raphael Rossignol

We provide a new exponential concentration inequality for First Passage Percolation valid for a wide class of edge times distributions. This improves and extends a result by Benjam…