Search Results - "Lacoin, Hubert"

MIXING TIME AND CUTOFF FOR THE ADJACENT TRANSPOSITION SHUFFLE AND THE SIMPLE EXCLUSION by Lacoin, Hubert

“…In this paper, we investigate the mixing time of the adjacent transposition shuffle for a deck of N cards. We prove that around time N² log N/(2π²), the total…”
Get full text

THE CUTOFF PROFILE FOR THE SIMPLE EXCLUSION PROCESS ON THE CIRCLE by Lacoin, Hubert

“…In this paper, we give a very accurate description of the way the simple exclusion process relaxes to equilibrium. Let Pt denote the semi-group associated the…”
Get full text

Solid-On-Solid Interfaces with Disordered Pinning by Lacoin, Hubert

“…We investigate the localization transition for a simple model of interface which interacts with an inhomonegeous defect plane. The interface is modeled by the…”
Get full text

New Bounds for the Free Energy of Directed Polymers in Dimension 1 + 1 and 1 + 2 by Lacoin, Hubert

“…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…”
Get full text

The Scaling Limit of the Directed Polymer with Power-Law Tail Disorder by Berger, Quentin, Lacoin, Hubert

“…In this paper, we study the so-called intermediate disorder regime for a directed polymer in a random environment with heavy-tail. Consider a simple symmetric…”
Get full text

The Stochastic Heat Equation with Multiplicative Lévy Noise: Existence, Moments, and Intermittency by Berger, Quentin, Chong, Carsten, Lacoin, Hubert

“…We study the stochastic heat equation (SHE) ∂ t u = 1 2 Δ u + β u ξ driven by a multiplicative Lévy noise ξ with positive jumps and coupling constant β > 0 ,…”
Get full text

CUTOFF PHENOMENON FOR THE ASYMMETRIC SIMPLE EXCLUSION PROCESS AND THE BIASED CARD SHUFFLING by Labbé, Cyril, Lacoin, Hubert

“…We consider the biased card shuffling and the Asymmetric Simple Exclusion Process (ASEP) on the segment. We obtain the asymptotic of their mixing times: our…”
Get full text

MIXING TIME AND CUTOFF FOR THE WEAKLY ASYMMETRIC SIMPLE EXCLUSION PROCESS by Labbé, Cyril, Lacoin, Hubert

“…We consider the simple exclusion process with k particles on a segment of length N performing random walks with transition p > 1/2 to the right and q = 1 − p…”
Get full text

Existence of a Non-Averaging Regime for the Self-Avoiding Walk on a High-Dimensional Infinite Percolation Cluster by Lacoin, Hubert

“…Let Z N be the number of self-avoiding paths of length N starting from the origin on the infinite cluster obtained after performing Bernoulli percolation on Z…”
Get full text

INFLUENCE OF SPATIAL CORRELATION FOR DIRECTED POLYMERS by Lacoin, Hubert

“…In this paper, we study a model of a Brownian polymer in ${\Bbb R}_{+}\times {\Bbb R}^{d}$ , introduced by Rovira and Tindel [J. Funct. Anal. 222 (2005)…”
Get full text

Non-coincidence of quenched and annealed connective constants on the supercritical planar percolation cluster by Lacoin, Hubert

“…In this paper, we study the abundance of self-avoiding paths of a given length on a supercritical percolation cluster on Z d . More precisely, we count Z N ,…”
Get full text

Existence of an intermediate phase for oriented percolation by Lacoin, Hubert

“…We consider the following oriented percolation model of $\mathbb {N} \times \mathbb{Z}^d$: we equip $\mathbb {N}\times \mathbb{Z}^d$ with the edge set…”
Get full text

Hierarchical pinning model with site disorder: disorder is marginally relevant by Lacoin, Hubert

“…We study a hierarchical disordered pinning model with site disorder for which, like in the bond disordered case (Derrida et al. in J Stat Phys 66:1189–1213,…”
Get full text

The Effect of Disorder on the Free-Energy for the Random Walk Pinning Model: Smoothing of the Phase Transition and Low Temperature Asymptotics by Berger, Quentin, Lacoin, Hubert

“…We consider the continuous time version of the Random Walk Pinning Model (RWPM), studied in (Berger and Toninelli (Electron. J. Probab., to appear) and Birkner…”
Get full text

Critical Gaussian multiplicative chaos for singular measures by Lacoin, Hubert

“…Given d≥1, we provide a construction of the random measure – the critical Gaussian Multiplicative Chaos – formally defined as e2dXdμ where X is a…”
Get full text

A Two Cities Theorem for the Parabolic Anderson Model by König, Wolfgang, Lacoin, Hubert, Mörters, Peter, Sidorova, Nadia

“…The parabolic Anderson problem is the Cauchy problem for the heat equation $\partial_{t}u(t, z) = \vartriangleu(t, z) + \xi(z)u(t, z)$ on $(0, \infty) x…”
Get full text

Hierarchical pinning models, quadratic maps and quenched disorder by Giacomin, Giambattista, Lacoin, Hubert, Toninelli, Fabio Lucio

“…We consider a hierarchical model of polymer pinning in presence of quenched disorder, introduced by Derrida et al. (J Stat Phys 66:1189–1213, 1992), which can…”
Get full text

A universality result for subcritical complex Gaussian multiplicative chaos by Lacoin, Hubert

“…In the present paper, we show that (under some minor technical assumption) Complex Gaussian multiplicative chaos defined as the complex exponential of a…”
Get full text

Polymer dynamics in the depinned phase: metastability with logarithmic barriers by Caputo, Pietro, Lacoin, Hubert, Martinelli, Fabio, Simenhaus, François, Toninelli, Fabio Lucio

“…We consider the stochastic evolution of a (1 + 1)-dimensional polymer in the depinned regime. At equilibrium the system exhibits a double well structure: the…”
Get full text

Wetting and Layering for Solid-on-Solid I: Identification of the Wetting Point and Critical Behavior by Lacoin, Hubert

“…We provide a complete description of the low temperature wetting transition for the two dimensional solid-on-solid model. More precisely, we study the…”
Get full text