Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Merle, Mathieu"'
Autor:
Merle, Mathieu, Salez, Justin
We study the mixing time of the unit-rate zero-range process on the complete graph, in the regime where the number $n$ of sites tends to infinity while the density of particles per site stabilizes to some limit $\rho>0$. We prove that the worst-case
Externí odkaz:
http://arxiv.org/abs/1804.04608
Self-organized criticality in a discrete model for Smoluchowski's equation with limited aggregations
Autor:
Merle, Mathieu, Normand, Raoul
We introduce and study a discrete random model for Smoluchowski's equation with limited aggregations. The latter is a model of coagulation introduced by Bertoin which may exhibit gelation. In our model, a large number of particles are initially given
Externí odkaz:
http://arxiv.org/abs/1509.00934
Autor:
Merle, Mathieu, Normand, Raoul
We study a discrete model of coagulation, involving a large number $N$ of particles. Pairs of particles are given i.i.d exponential clocks with parameter $1/N$. When a clock rings, a link between the corresponding pair of particles is created only if
Externí odkaz:
http://arxiv.org/abs/1410.8338
Autor:
Merle, Mathieu, Salez, Justin
Publikováno v:
The Annals of Probability, 2019 Sep 01. 47(5), 3170-3201.
Externí odkaz:
https://www.jstor.org/stable/26818767
Autor:
Giacomin, Giambattista, Merle, Mathieu
Publikováno v:
Bernoulli 2015, Vol. 21, No. 4, 2242-2288
We consider certain one dimensional ordinary stochastic differential equations driven by additive Brownian motion of variance $\varepsilon ^2$. When $\varepsilon =0$ such equations have an unstable non-hyperbolic fixed point and the drift near such a
Externí odkaz:
http://arxiv.org/abs/1307.4255
Publikováno v:
Annals of Probability 2013, Vol. 41, No. 1, 229-261
We prove existence of the scaling limit of the invasion percolation cluster (IPC) on a regular tree. The limit is a random real tree with a single end. The contour and height functions of the limit are described as certain diffusive stochastic proces
Externí odkaz:
http://arxiv.org/abs/0910.4205
We consider a nearest neighbor random walk on the one-dimensional integer lattice with drift towards the origin determined by an asymptotically vanishing function of the number of visits to zero. We show the existence of distinct regimes according to
Externí odkaz:
http://arxiv.org/abs/0711.4871
Autor:
Merle, Mathieu
The goal of this work is to find the asymptotics of the hitting probability of a distant point for the voter model on the integer lattice started from a single 1 at the origin. In dimensions 2 or 3, we obtain the precise asymptotic behavior of this p
Externí odkaz:
http://arxiv.org/abs/math/0609826
Autor:
GIACOMIN, GIAMBATTISTA, MERLE, MATHIEU
Publikováno v:
Bernoulli, 2015 Nov 01. 21(4), 2242-2288.
Externí odkaz:
https://www.jstor.org/stable/43590530
Publikováno v:
The Annals of Probability, 2013 Jan 01. 41(1), 229-261.
Externí odkaz:
http://dx.doi.org/10.1214/11-AOP731