Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Carl Mueller"'
Publikováno v:
Communications in Mathematical Physics. 384:699-732
We study the asymptotic speed of a random front for solutions $$u_t(x)$$ to stochastic reaction–diffusion equations of the form $$\begin{aligned} \partial _tu=\frac{1}{2}\partial _x^2u+f(u)+\sigma \sqrt{u(1-u)}{\dot{W}}(t,x),~t\ge 0,~x\in {\mathbb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1942d8a7aa8fcc3b1f74921f16d29b09
https://doi.org/10.1007/s00220-021-04084-0
https://doi.org/10.1007/s00220-021-04084-0
Autor:
Carl Mueller, Eyal Neumann
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b96f2dbc7db84c6b0229f7063a9c458a
http://arxiv.org/abs/2203.00065
http://arxiv.org/abs/2203.00065
Publikováno v:
Journal of Stochastic Analysis. 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ed5fec4ba2c9436751c35f6a62a2011
https://doi.org/10.31390/josa.1.2.01
https://doi.org/10.31390/josa.1.2.01
We study vector-valued solutions u(t, x) is an element of R-d to systems of nonlinear stochastic heat equations with multiplicative noise
partial derivative/partial derivative t u(t, x) = partial derivative(2)/partial derivative x(2) u(t, x) + s
partial derivative/partial derivative t u(t, x) = partial derivative(2)/partial derivative x(2) u(t, x) + s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8829ea80cef98155f2e43c65dd7fc4e1
We consider the following stochastic partial differential equation on $t \geq 0, x\in[0,J], J \geq 1$ where we consider $[0,J]$ to be the circle with end points identified: \begin{equation*} \partial_t{\mathbf u}(t,x) =\frac{1}{2}\,\partial_x^2 {\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66254f8061621cfc3669f515b1780b5d
Autor:
Carl Mueller, Eyal Neuman
We set up an SPDE model for a moving, weakly self-avoiding polymer with intrinsic length $J$ taking values in $(0,\infty)$. Our main result states that the effective radius of the polymer is approximately $J^{5/3}$; evidently for large $J$ the polyme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1eb7205519c65d8a2bcff37aa6aaaf5b
Autor:
Giang Truong, Carl Mueller
Publikováno v:
Involve 13, no. 3 (2020), 433-444
In order to extend the study of uniqueness property of multi-dimensional systems of stochastic differential equations, in this paper, we look at the following three-dimensional system of equations, of which the two-dimensional case was well-studied b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64f910cebdbeffae8619d59d1e84c51c
Autor:
Carl Müller-Platz
Der Kommentar beinhaltet alle relevanten Rechtsvorschriften, unter anderem zu Aufgaben, Trägern, Aufsichtsbehörden und Organisation des Katastrophenschutzes. Schwerpunkte wie die Durchführung von Abwehrmaßnahmen, Krisenmanagement, gegenseitige un
Publikováno v:
Ann. Probab. 48, no. 2 (2020), 646-671
We consider a stochastic flow $\phi_t(x,\omega)$ in $\mathbb{R}^n$ with initial point $\phi_0(x,\omega)=x$, driven by a single $n$-dimensional Brownian motion, and with an outward radial drift of magnitude $\frac{ F(\|\phi_t(x)\|)}{\|\phi_t(x)\|}$, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aca79ab50f9620ca4c77a899ce21392a
http://hdl.handle.net/10044/1/70275
http://hdl.handle.net/10044/1/70275
Autor:
Carl Müller-Platz
Der Kommentar beinhaltet alle relevanten Rechtsvorschriften unter anderem zu Aufgaben, Trägern, Aufsichtsbehörden und Organisation des Katastrophenschutzes. Schwerpunkte wie die Durchführung von Abwehrmaßnahmen, Krisenmanagement, gegenseitige und