Zobrazeno 1 - 10
of 618
pro vyhledávání: '"Müller, 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
We consider a stochastic heat equation of the type, $\partial_t u = \partial^2_x u + \sigma(u)\dot{W}$ on $(0\,,\infty)\times[-1\,,1]$ with periodic boundary conditions and on-degenerate positive initial data, where $\sigma:\mathbb{R} \to\mathbb{R}$
Externí odkaz:
http://arxiv.org/abs/2110.06409
Autor:
Müller, Carl
Basning är en metod där värme och fukt används för att göra träplastiskt och böjbart. Den traditionella metoden att böja trä är att använda en låda eller ett rör och påföra värme och ånga för att mjuka upp träet inför böjning. B
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-159224