Zobrazeno 1 - 10
of 354
pro vyhledávání: '"Mueller, Carl"'
We study small-ball probabilities for the stochastic heat equation with multiplicative noise in the moderate-deviations regime. We prove the existence of a small-ball constant and related it to other known quantities in the literature. These small-ba
Externí odkaz:
http://arxiv.org/abs/2312.05789
We study the radius $R_T$ of a self-repellent fractional Brownian motion $\left\{B^H_t\right\}_{0\le t\le T}$ taking values in $\mathbb{R}^d$. Our sharpest result is for $d=1$, where we find that with high probability, \begin{equation*} R_T \asymp T^
Externí odkaz:
http://arxiv.org/abs/2308.10889
Autor:
Mueller, Carl, Neuman, Eyal
We study the effective radius of weakly self-avoiding star polymers in one, two, and three dimensions. Our model includes $N$ Brownian motions up to time $T$, started at the origin and subject to exponential penalization based on the amount of time t
Externí odkaz:
http://arxiv.org/abs/2306.01537
We provide asymptotic bounds on the survival probability of a moving polymer in an environment of Poisson traps. Our model for the polymer is the vector-valued solution of a stochastic heat equation driven by additive spacetime white noise; solutions
Externí odkaz:
http://arxiv.org/abs/2212.03166
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 have been extensively studied under the name of intermittency, but less
Externí odkaz:
http://arxiv.org/abs/2211.02795
Autor:
Mueller, Carl, Neuman, Eyal
We consider self-repelling elastic manifolds with a domain $[-N,N]^d \cap \mathbb{Z}^d$, that take values in $\mathbb{R}^D$. Our main result states that when the dimension of the domain is $d=2$ and the dimension of the range is $D=1$, the effective
Externí odkaz:
http://arxiv.org/abs/2203.00065
Autor:
Mueller, Carl, Neuman, Eyal
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 with Neumann boundary conditions over the domain $[-N,N]^d\cap \mathbb
Externí odkaz:
http://arxiv.org/abs/2112.13007