Francesco Caravenna

Pinning and wetting transition for (1+1)-dimensional fields with Laplacian interaction

We consider a random field

A local limit theorem for random walks conditioned to stay positive

\varphi:\{1,...,N\}\to\mathbb{R}

Invariance principles for random walks conditioned to stay positive

as a model for a linear chain attracted to the defect line

Scaling limits of (1+1)-dimensional pinning models with laplacian interaction

\varphi=0

A numerical approach to copolymers at selective interfaces

, that is, the x-axis. The free law of the field is specified by the density

A RENEWAL THEORY APPROACH TO PERIODIC COPOLYMERS WITH ADSORPTION

\exp(-\sum_iV(\Delta\varphi_i))

Universality in marginally relevant disordered systems

with respect to the Lebesgue measure on

General smile asymptotics with bounded maturity

\mathbb{R}^N

Universality for the pinning model in the weak coupling regime

, where

Copolymers at Selective Interfaces: Settled Issues and Open Problems

\Delta