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8 papers · 2 filters
On the external branches of coalescents with multiple collisions
Jean-Stephane Dhersin, Martin Moehle
A recursion for the joint moments of the external branch lengths for coalescents with multiple collisions (-coalescents) is provided. This recursion is used to derive asymptotic…
Analysis of an exhaustive search algorithm in random graphs and the n^{c\log n} -asymptotics
Cyril Banderier, Hsien-Kuei Hwang, Vlady Ravelomanana +1
We analyze the cost used by a naive exhaustive search algorithm for finding a maximum independent set in random graphs under the usual G_{n,p} -model where each possible edge appea…
Slow dynamics for the dilute Ising model in the phase coexistence region
Marc Wouts
In this paper we consider the Glauber dynamics for a disordered ferromagnetic Ising model, in the region of phase coexistence. It was conjectured several decades ago that the spin…
Critical Mandelbrot Cascades
Julien Barral, Antti Kupiainen, Miika Nikula +2
We study Mandelbrot's multiplicative cascade measures at the critical temperature. As has been recently shown by Barral, Rhodes and Vargas (arXiv:1203.5445), an appropriately norma…
First order transition for the branching random walk at the critical parameter
Thomas Madaule
Considering a critical branching random walk on the real line. From a study of the law of the trajectory of a particle chosen under the polymer measure, we establish a first order…
Absorption properties of stochastic equations with Hölder diffusion coefficients
Jonathan Touboul, Gilles Wainrib
In this article, we address the absorption properties of a class of stochastic differ- ential equations around singular points where both the drift and diffusion functions vanish.…