Publications Influence

Share This Author

New Bounds for the Free Energy of Directed Polymers in Dimension 1 + 1 and 1 + 2

- H. Lacoin
- Mathematics
- 6 January 2009

We study the free energy of the directed polymer in a random environment model in dimension 1 + 1 and 1 + 2. For dimension one, we improve the statement of Comets and Vargas in [8] concerning very… Expand

Complex Gaussian Multiplicative Chaos

In this article, we study complex Gaussian multiplicative chaos. More precisely, we study the renormalization theory and the limit of the exponential of a complex log-correlated Gaussian field in all… Expand

Fractional Moment Bounds and Disorder Relevance for Pinning Models

- B. Derrida, G. Giacomin, H. Lacoin, F. Toninelli
- Mathematics
- 15 December 2007

We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(·) of the location of the first contact of the (free) polymer with the defect line is assumed… Expand

Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion

- H. Lacoin
- Mathematics
- 16 September 2013

In this paper, we investigate the mixing time of the adjacent transposition shuffle for a deck of cards. We prove that around time N^2\log N/(2\pi^2), the total-variation distance to equilibrium of… Expand

The Martingale approach to disorder irrelevance for pinning models

- H. Lacoin
- Psychology
- 25 February 2010

This paper presents a very simple and self-contained proof of disorder irrelevance for inhomogeneous pinning models with return exponent $\alpha \in (0,1/2)$. We also give a new upper bound for the… Expand

Disorder relevance at marginality and critical point shift

- G. Giacomin, H. Lacoin, F. Toninelli
- Physics, Mathematics
- 10 June 2009

Recemment, les predictions issues des methodes de groupe de renormalisation concernant l'influence du desordre pour les modeles d'accrochage ont ete rendus rigoureuses mathematiquement. La… Expand

A two cities theorem for the parabolic Anderson model.

- W. Konig, H. Lacoin, Peter Morters, N. Sidorova
- Mathematics
- 24 February 2011

The parabolic Anderson problem is the Cauchy problem for the heat equation partial derivative(t)u(t, z) = Delta u(t,z) + xi(z)u(t,z) on (0,infinity) x Z(d) with random potential (xi(z): z is an… Expand

Marginal relevance of disorder for pinning models

- G. Giacomin, F. Toninelli, H. Lacoin
- Computer Science
- 5 November 2008

TLDR

Directed polymers on hierarchical lattices with site disorder

- H. Lacoin, Gregorio R. Moreno Flores
- Mathematics
- 4 June 2009

A PROBABILISTIC APPROACH OF ULTRAVIOLET RENORMALISATION IN THE BOUNDARY SINE-GORDON MODEL

TLDR

...

1

2

3

4

5

...