output
20022026
most citedGéométrie de contact: de la dimension trois vers les dimensions supérieures

374 citations

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Showing 2007 · math.PRShow all

6 papers · 2 filters

math.PR2007

Is critical 2D percolation universal?

Vincent Beffara

The aim of this paper is to explore possible ways of extending Smirnov's proof of Cardy's formula for critical site-percolation on the triangular lattice to other cases (such as bo…

math.PR2007★ 1 cited

The spectrum of heavy-tailed random matrices

Gerard Ben Arous, Alice Guionnet

Let be an $N\ts N$ random symmetric matrix with independent equidistributed entries. If the law of the entries has a finite second moment, it was shown by Wigner \cite{wi…

math.PR2007

Regularization by free additive convolution, square and rectangular cases

Serban Belinschi, Florent Benaych-Georges, Alice Guionnet

The free convolution is the binary operation on the set of probability measures on the real line which allows to deduce, from the individual spectral distributions, the spectral di…

math.PR2007

On a randomized PNG model with a columnar defect

Vincent Beffara, Vladas Sidoravicius, Maria Eulalia Vares

We study a variant of poly-nuclear growth where the level boundaries perform continuous-time, discrete-space random walks, and study how its asymptotic behavior is affected by the…

math.PR2007

On Classical Analogues of Free Entropy Dimension

A. Guionnet, D. Shlyakhtenko

We define a classical probability analogue of Voiculescu's free entropy dimension that we shall call the classical probability entropy dimension of a probability measure on $\mathb…

math.PR2007★ 9 cited

Ricci curvature of Markov chains on metric spaces

Yann Ollivier

We define the Ricci curvature of Markov chains on metric spaces as a local contraction coefficient of the random walk acting on the space of probability measures equipped with a Wa…