Renewal convergence rates and correlation decay for homogeneous pinning models.
On recurrent and transient sets of inhomogeneous symmetric random walks.
On constrained annealed bounds for pinning and wetting models.
Sharp asymptotic behavior for wetting models in -dimension.
Large scale behavior of semiflexible heteropolymers
We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the ) are modeled in terms of random rotations. We focus on the regime, i.e., the analysis is performed for a given realization of the disorder. Semiflexible models differ substantially from random walks on short scales, but on large scales a brownian behavior emerges. By exploiting techniques from tensor analysis and non-commutative Fourier analysis,...
Disorder relevance at marginality and critical point shift
Recently the renormalization group predictions on the effect of disorder on pinning models have been put on mathematical grounds. The picture is particularly complete if the disorder is or in the Harris criterion sense: the question addressed is whether quenched disorder leads to a critical behavior which is different from the one observed in the pure, i.e. annealed, system. The Harris criterion prediction is based on the sign of the specific heat exponent of the pure system, but it yields no...
Page 1