6 citations · 10 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
A modified Poincare inequality and its application to First Passage Percolation
Michel Benaim, Raphael Rossignol
We extend a Gaussian functional inequality to a countable product of Gaussian measures. This inequality improves on the classical Poincare inequality for Gaussian measures. As an a…
Arbitrary threshold widths for monotone symmetric properties
Raphaël Rossignol
We investigate the threshold widths of some symmetric properties which range asymptotically between 1/\sqrt{n} and 1/(log n). These properties are built using a combination of fail…