Kolesko "Brownian motion on graph like spaces", ArXiv: 1405.6580v1.A. Georgakopoulos and K. Kolesko, Brownian motion on graph-like spaces. In prepa- ration.A. Georgakopoulos and K. Kolesko, Brownian motion on graph-like spaces. In preparation....
A characterization of Markov chains on infinite graphs by limiting distributions 1. Introduction. Let F = (E E) be a locally finite, infinite and connected graph. The edges in E are unoriented, there are no multiple edges and no loops. ......
Brownian motion on fractals and function spaces 来自 Semantic Scholar 喜欢 0 阅读量: 35 作者: A Jonsson 摘要: No Abstract available for this article. 关键词: graph theory squared squares 2 x 1 squared rectangles DOI: 10.1007/BF02621879 被引量: 165 年份: 1996 ...
The proof relies on using the coupling introduced in the author's earlier paper "A martingale approach to minimal surfaces" to show that Brownian motion on such a minimal graph almost surely strikes the boundary in finite time.关键词: Mathematics - Differential Geometry Mathematics - Probability ...
We construct a natural Brownian motion on X and show that if X has nonpositive curvature and satisfies Gromov's hyperbolicity condition, then, with probability one, Brownian motion tends to a random limit on the Gromov boundary. Applying a combination of geometric and probabilistic techniques we ...
Section 2 presents two results on the distribution of reflected Brownian motion on Brownian motion. Section 3 is devoted to various local times which one can define to describe the amount of time spent by one process on the path of the other one. Section 4 gives some results on the support...
of the graph distance associated with subcritical two-dimensional Liouville quantum gravity of paramaterγ<2onV=[0,1]2. We also show that the Liouville heat kernel satisfies, for each fixedu,v∈Vo, the short time estimate limt→0log|logptγ(u,v)||logt|=χ2−χ,a.s.. ...
properties as standard Brownian motion, $B$.In this paper we examine properties of $B+f$ when $f \notin D$. We start byestablishing a general 0-1 law, which in particular implies that for any fixed$f$, the Hausdorff dimension of the image and the graph of $B+f$ are constantsa....
The Eq. (1*) is useful in implementing derived classes that impose additional structure on the drift and diffusion-rate functions. The derived classes of models used in this study are the following. GBM: The Geometric Brownian Motion Class whose general equation is: (2*)dXt=μ(t)Xtdt+D(...
Yor, Continuous Martingales and Brownian Motion, Grundlehren Math. Wiss., 293, Springer-Verlag, 1991. O. Schramm, Conformally invariant scaling limits: an overview and a collection of problems, In: Proceedings of the International Congress of Mathematicians. Vol. I, Eur. Math. Soc., Zürich, ...