Hubert Lacoin

activity

20102023

most citedThe scaling limit of polymer pinning dynamics and a one dimensional Stefan freezing problem

4 citations · 4 across the 7 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.PR2023

Critical Gaussian Multiplicative Chaos for singular measures

Hubert Lacoin

Given $d \geq 1$ , we provide a construction of the random measure - the critical Gaussian Multiplicative Chaos - formally defined $e^{2 d X} d μ$ where $X$ is a $lo g$ -c…

math.PR2016

Marginal relevance for the $γ$ -stable pinning model

Hubert Lacoin

We investigate disorder relevance for the pinning of a renewal when the law of the random environment is in the domain of attraction of a stable law with parameter $γ \in (1, 2)$ . As…

math.PR2014

A product chain without cutoff

Hubert Lacoin

In this note, we construct an example of a sequence of $n$ -fold product chains which does not display cutoff for total-variation distance neither for separation distance. In additi…

math.PR2012

Existence of an intermediate phase for oriented percolation

Hubert Lacoin

We consider the following oriented percolation model of $N \times Z^{d}$ : we equip $N \times Z^{d}$ with the edge set $\{[(n,x),(n+1,y)] | n\in \ma…

math.PR2010

A scaling limit theorem for the parabolic Anderson model with exponential potential

Hubert Lacoin, Peter Mörters

The parabolic Anderson problem is the Cauchy problem for the heat equation with random potential and localized initial condition. In this paper we consider potentials which are con…

Critical Gaussian Multiplicative Chaos for singular measures

Marginal relevance for the γ-stable pinning model

A product chain without cutoff

Existence of an intermediate phase for oriented percolation

A scaling limit theorem for the parabolic Anderson model with exponential potential

Marginal relevance for the $γ$ -stable pinning model