Correction to: Quenched large deviation principle for words in a letter sequence

M Birkner, A Greven, F Hollander - Probability Theory and Related Fields, 2023 - Springer
In the article Quenched large deviation principle for words in a letter sequence, Probab.
Theory Relat. Fields 148, no. 3/4 (2010), 403–456 we derived a quenched large deviation …

Quenched large deviation principle for words in a letter sequence

M Birkner, A Greven, F Den Hollander - Probability theory and related …, 2010 - Springer
When we cut an iid sequence of letters into words according to an independent renewal
process, we obtain an iid sequence of words. In the annealed large deviation principle …

The critical curves of the random pinning and copolymer models at weak coupling

Q Berger, F Caravenna, J Poisat, R Sun… - … in Mathematical Physics, 2014 - Springer
We study random pinning and copolymer models, when the return distribution of the
underlying renewal process has a polynomial tail with finite mean. We compute the …

Disorder and critical phenomena: the copolymer model

Q Berger, G Giacomin, H Lacoin - Probability Theory and Related Fields, 2019 - Springer
The 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\(1+\alpha\; …

Phase transitions for spatially extended pinning

F Caravenna, F den Hollander - Probability Theory and Related Fields, 2021 - Springer
We consider a directed polymer of length N interacting with a linear interface. The
monomers carry iid random charges (ω i) i= 1 N taking values in R with mean zero and …

[HTML][HTML] The free energy of the random walk pinning model

M Nakashima - Stochastic Processes and their Applications, 2018 - Elsevier
We consider the random walk pinning model. This is a random walk on Z d whose law is
given as the Gibbs measure μ N, Y β, where the polymer measure μ N, Y β is defined by …

On the critical curves of the pinning and copolymer models in correlated Gaussian environment

Q Berger, J Poisat - 2015 - projecteuclid.org
We investigate the disordered copolymer and pinning models, in the case of a correlated
Gaussian environment with correlations, and when the return distribution of the underlying …

Random copolymers

E Bolthausen - Correlated Random Systems: Five Different Methods …, 2015 - Springer
A (directed) random polymer in d+ 1 dimensions is a random walk in d dimensions whose
law is transformed by a random potential. The time axis is considered as an additional …

[PDF][PDF] Erratum: Quenched large deviation principle for words in a letter sequence

M Birkner, A Greven, F den Hollander - 2022 - eurandom.tue.nl
In [BGdH10] we derived a quenched large deviation principle for the empirical process of
words obtained by cutting an iid sequence of letters according to an independent renewal …

[PDF][PDF] Random polymers and related models: disorder, localization and critical phenomena

Q Berger - 2019 - hal.science
Modèles de polymères pertinence du désordre localisation transition de phase phéno-
mènes critiques modèle de copolymère modèle d'accrochage modèle de Poland-Scheraga …