5 papers
Disorder and critical phenomena: the copolymer model
Quentin Berger, Giambattista Giacomin, Hubert Lacoin
The generalized copolymer model is a disordered system built on a discrete renewal process with inter-arrival distribution that decays in a regularly varying fashion with exponent…
Scaling of sub-ballistic 1D Random Walks among biased Random Conductances
Quentin Berger, Michele Salvi
We consider two models of one-dimensional random walks among biased i.i.d. random conductances: the first is the classical exponential tilt of the conductances, while the second co…
DNA melting structures in the generalized Poland-Scheraga model
Quentin Berger, Giambattista Giacomin, Maha Khatib
The Poland-Scheraga model for DNA denaturation, besides playing a central role in applications, has been widely studied in the physical and mathematical literature over the past de…
Local asymptotics for the first intersection of two independent renewals
Kenneth S. Alexander, Quentin Berger
We study the intersection of two independent renewal processes, . Assuming that and $\mathbf{P}(σ_1 = n ) = \tildeφ(n)\, n^{-(1…
The high-temperature behavior for the directed polymer in dimension 1+2
Quentin Berger, Hubert Lacoin
We investigate the high-temperature behavior of the directed polymer model in dimension . More precisely we study the difference between the quenched and anne…