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Localization Transition for Polymers in Poissonian Medium
Directed polymers random environment Probability
2012/6/25
We study a model of directed polymers in random environment in dimension $1+d$, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogenei...
Periodic long-time behaviour for an approximate model of nematic polymers
Periodic long-time behaviour nematic polymers Analysis of PDEs
2011/9/14
Abstract: We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation. The aim of this work is t...
Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2
self-repelling random motion diffusion in random environment super-diffusivity
2011/2/28
We consider two models of random diffusion in random environment in two dimensions. The first example is the self-repelling Brownian polymer, this describes a diffusion pushed by the negative gradient...
Strong disorder in semidirected random polymers
Random walks random potential Lyapunov norms strong disorder lo-calization
2010/12/6
We consider a random walk in a random potential, which models a situ-ation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. Thes...
We survey recent results and open questions on the ballistic phase of stretched polymers in both annealed and quenched random environments
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in d >= 3
self-repelling random motion local time central limit theorem
2010/11/29
The problems considered in the present paper have their roots in two different cultures. The ‘true’ (or myopic) self-avoiding walk model (TSAW) was introduced in the physics literature by Amit, Parisi...
Asymmetric directed polymers in random environments
Directed polymers in random environment Directed polymers in Brownian environments
2010/12/14
The model of Brownian Percolation has been introduced as an approx-imation of discrete last-passage percolation models close to the axis. It allowed to compute some explicit limits and prove fluctuati...