10 citations · 33 across the 20 of their papers we have counts for
15 papers · 1 filter
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…
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…
The Multiplicative Chaos of Fractional Brownian Fields
Paul Hager, Eyal Neuman
We consider a family of fractional Brownian fields on , where denotes their Hurst parameter. We first define a rich class of normalizin…
Scaling Properties of a Moving Polymer
Carl Mueller, Eyal Neuman
We set up an SPDE model for a moving, weakly self-avoiding polymer with intrinsic length taking values in . Our main result states that the effective radius of the…
An improved uniqueness result for a system of stochastic differential equations related to the stochastic wave equation
C. Mueller, E. Neuman, M. Salins +1
We improve on the strong uniqueness results of [GLM+17], which deal with the following system of SDE. \begin{align*} dX_t&=Y_tdt \\ dY_t&=|X_{t}|^αdB_t \end{align*} and $X_0=x_0,Y_…