3 papers
math.PR2026
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…
math.PR2026
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…
math.PR2025
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…