32 citations · 76 across the 39 of their papers we have counts for
43 papers
On a remark of de Gennes concerning three-dimensional polyelectrolytes
Carl Mueller, Shiquan Li
This work is inspired by a remark of de Gennes about polyelectrolytes, which are charged polymers. A common model for a polymer is a self-avoiding or self-repelling random walk or…
Survival of a long random string among hard Poisson traps
Siva Athreya, Mathew Joseph, Carl Mueller
In [AJM26], we gave large-time asymptotic bounds on the annealed survival probability of a moving polymer taking values in . This polymer is a solution of…
The radius of a self-repelling star polymer
Carl Mueller, Eyal Neuman
We study the effective radius of weakly self-avoiding star polymers in one, two, and three dimensions. Our model includes Brownian motions up to time , started at the origin…
On the valleys of the stochastic heat equation
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller
We consider a generalization of the parabolic Anderson model driven by space-time white noise, also called the stochastic heat equation, on the real line. High peaks of solutions h…
Self-Repelling Elastic Manifolds with Low Dimensional Range
Carl Mueller, Eyal Neuman
We consider self-repelling elastic manifolds with a domain , that take values in . Our main result states that when the dimension of the d…
The Effective Radius of Self Repelling Elastic Manifolds
Carl Mueller, Eyal Neuman
We study elastic manifolds with self-repelling terms and estimate their effective radius. This class of manifolds is modelled by a self-repelling vector-valued Gaussian free field…