We present a new proof of the extended arc-sine law related to Walsh's Brownian motion, known also as Brownian spider. The main argument mimics the scaling property used previously, in particular by D. Williams [12], in the 1-dimensional Brownian case, which can be generalized to the multivariate case. A discussion concerning the time spent positive by a skew Bessel process is also presented.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
The Brownian motion with multi-dimensional time parameter introduced by Paul Lévy can be viewed as a...
Brownian Motion is one of the most useful tools in the arsenal of stochastic models. This phenomenon...
In this paper we study the distribution of the sojourn time $\Gamma_{t} = meas{s0}$, where $B(t)$, ...
We present a new proof of the extended arc-sine law related to Walsh's Brownian motion, known also a...
It is well-known that the sojourn time of Brownian motion B(t), t>0, namely [Gamma](B)=meas(s[less-t...
AbstractThe question whether the classical arc-sine law of Paul Lévy for the proportion of time spen...
It is well known that Brownian motion enjoys several distributional invariances such as the scaling ...
The (standard) Brownian web is a collection of coalescing one-dimensional Brownian motions, starting...
In Doney (Bull Lond Math Soc 19(2):177–182, 1987), R. Doney identifies a striking factorization of t...
6 pages, 6 figuresInternational audienceThe three arcsine laws for Brownian motion are a cornerstone...
We study a scaled version of a two-parameter Brownian penalization model introduced by Roynette-Vall...
Wilfrid Kendall notes on the complexity of the paths of Brownian motion: If you run Brownian motion ...
5 pags.; 5 figs.We show that the fraction of time that a thermodynamic current spends above its aver...
this paper, we mention an interesting property: stopped at some suitably chosen random times, the pr...
In this paper we study the distribution of the sojourn time [Gamma]t=meas{s 0}, where B(t), t>0 is a...
The Brownian motion with multi-dimensional time parameter introduced by Paul Lévy can be viewed as a...
Brownian Motion is one of the most useful tools in the arsenal of stochastic models. This phenomenon...
In this paper we study the distribution of the sojourn time $\Gamma_{t} = meas{s0}$, where $B(t)$, ...
We present a new proof of the extended arc-sine law related to Walsh's Brownian motion, known also a...
It is well-known that the sojourn time of Brownian motion B(t), t>0, namely [Gamma](B)=meas(s[less-t...
AbstractThe question whether the classical arc-sine law of Paul Lévy for the proportion of time spen...
It is well known that Brownian motion enjoys several distributional invariances such as the scaling ...
The (standard) Brownian web is a collection of coalescing one-dimensional Brownian motions, starting...
In Doney (Bull Lond Math Soc 19(2):177–182, 1987), R. Doney identifies a striking factorization of t...
6 pages, 6 figuresInternational audienceThe three arcsine laws for Brownian motion are a cornerstone...
We study a scaled version of a two-parameter Brownian penalization model introduced by Roynette-Vall...
Wilfrid Kendall notes on the complexity of the paths of Brownian motion: If you run Brownian motion ...
5 pags.; 5 figs.We show that the fraction of time that a thermodynamic current spends above its aver...
this paper, we mention an interesting property: stopped at some suitably chosen random times, the pr...
In this paper we study the distribution of the sojourn time [Gamma]t=meas{s 0}, where B(t), t>0 is a...
The Brownian motion with multi-dimensional time parameter introduced by Paul Lévy can be viewed as a...
Brownian Motion is one of the most useful tools in the arsenal of stochastic models. This phenomenon...
In this paper we study the distribution of the sojourn time $\Gamma_{t} = meas{s0}$, where $B(t)$, ...