Results 31 to 40 of about 59 (59)

Formule de Green, lacet brownien plan et aire de Lévy

open access: yes
We study some functionals related to the windings of the planar Brownian loop. We derive an analogue to Green's formula in the case where the boundary is given by a planar Brownian loop.
Werner, Wendelin
core  

The self-intersections of a Gaussian random field

open access: yes
Let X(t) be an non-deterministic Gaussian field. In this paper, the sufficient conditions for existence of the k-multiple points, the Hausdorff measure and the Hausdorff dimension for the k-multiple times set {(t1,t2,...,tk):X(t1)=X(t2)=...=X(tk) for ...
Zhang, Rongmao, Lin, Zhengyan
core  

Loop-Erased Walks and Random Matrices. [PDF]

open access: yesJ Stat Phys, 2019
Arista J, O'Connell N.
europepmc   +1 more source

A decomposition of the Brownian path

open access: yes
The Brownian path {[omega](s); 0 [less-than-or-equals, slant] s [less-than-or-equals, slant] t} is dissected and then reassembled in such a way that (i) the last visit [gamma]t at the origin, as well as the fragment {[omega](s); [gamma]t [less-than-or ...
Karatzas, Ioannis, Shreve, Steven E.
core  

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