12 citations · 20 across the 6 of their papers we have counts for
6 papers
Random interfaces generated by the addition of structures of variable size
N. Pétrélis, F. Pétrélis
We consider the random deposition of objects of variable width and height over a line. The successive additions of these structures create a random interface. We focus on the regim…
A variational formula for the free energy of the partially directed polymer collapse
Gia Bao Nguyen, Nicolas Petrelis
Long linear polymers in dilute solutions are known to undergo a collapse transition from a random coil (expand itself) to a compact ball (fold itself up) when the temperature is lo…
On the localized phase of a copolymer in an emulsion: subcritical percolation regime
Frank den Hollander, Nicolas Petrelis
The present paper is a continuation of \cite{dHP07b}. The object of interest is a two-dimensional model of a directed copolymer, consisting of a random concatenation of hydrophobic…
On the localized phase of a copolymer in an emulsion: supercritical percolation regime
Frank den Hollander, Nicolas Pétrélis
In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion. The copolymer is a random concatenation of monomers of two ty…
A mathematical model for a copolymer in an emulsion
F. den Hollander, N. Petrelis
In this paper we review some recent results, obtained jointly with Stu Whittington, for a mathematical model describing a copolymer in an emulsion. The copolymer consists of hydrop…
Copolymer at selective interfaces and pinning potentials: weak coupling limits
Nicolas Petrelis
We consider a simple random walk of length , denoted by , and we define a sequence of centered i.i.d. random variables. For $K\in\N…