Displaying similar documents to “Disorder relevance for the random walk pinning model in dimension 3”

Annealed vs quenched critical points for a random walk pinning model

Matthias Birkner, Rongfeng Sun (2010)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We study a random walk pinning model, where conditioned on a simple random walk on ℤ acting as a random medium, the path measure of a second independent simple random walk up to time is Gibbs transformed with hamiltonian − (, ), where (, ) is the collision local time between and up to time . This model arises naturally in various contexts, including the study of the parabolic Anderson model with moving catalysts, the parabolic Anderson model with brownian...

Copolymer at selective interfaces and pinning potentials : weak coupling limits

Nicolas Petrelis (2009)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We consider a simple random walk of length , denoted by ( ), and we define ( ) a sequence of centered i.i.d. random variables. For ∈ℕ we define (( , …, )) an i.i.d sequence of random vectors. We set ∈ℝ, ≥0 and ≥0, and transform the measure on the set of random walk trajectories with the hamiltonian ∑ ( +)sign( )+∑ ∑ ...

Limit laws for the energy of a charged polymer

Xia Chen (2008)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

In this paper we obtain the central limit theorems, moderate deviations and the laws of the iterated logarithm for the energy =∑ 1 of the polymer { , …, } equipped with random electrical charges { , …, }. Our approach is based on comparison of the moments between and the self-intersection local time =∑1 run by the...

Planar Lorentz process in a random scenery

Françoise Pène (2009)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We consider the periodic planar Lorentz process with convex obstacles (and with finite horizon). In this model, a point particle moves freely with elastic reflection at the fixed convex obstacles. The random scenery is given by a sequence of independent, identically distributed, centered random variables with finite and non-null variance. To each obstacle, we associate one of these random variables. We suppose that each time the particle hits an obstacle, it wins the amount given by...