The main results in this paper concern large and moderate deviations for the radial component of a n-dimensional hyperbolic Brownian motion (for n≥2) on the Poincaré half-space. We also investigate the asymptotic behavior of the hitting probability Pη(T(n)η1<∞) of a ball of radius η1, as the distance η of the starting point of the hyperbolic Brownian motion goes to infinity
In this article, we study the hitting probability of a circumference CR for a correlated Brownian mo...
Starting from the hyperbolic Brownian motion as a time-changed Brownian motion, we explore a set of ...
This article proves that the separation convergence towards the uniform distribution abruptly occurs...
The main results in this paper concern large and moderate deviations for the radial component of a n...
The main results in this paper concern large and moderate deviations for the radial component of a n...
In this article, we obtain exact asymptotics of the sojourn probability of Brownian motion with larg...
Iterated Bessel processes R[gamma](t),t>0,[gamma]>0 and their counterparts on hyperbolic spaces, i.e...
At each point of a Poisson point process of intensity λ in the hyperbolic place, center a ball of bo...
We give general sufficient conditions which imply upper and lower bounds for the probability that a ...
We give general sufficient conditions which imply upper and lower bounds for the probability that a ...
lems. Basic Question How does the Euclidean geometry of the domain (volume, diameter, inradius) and ...
A fundamental question in rough path theory is whether the expected signature of a geometric rough p...
Let a Brownian motion in the unit ball be absorbed if it hits a set generated by a radially symmetri...
In this paper telegraph processes on geodesic lines of the Poincare half-space and Poincare disk are...
We consider a Brownian particle with diffusion coefficient $D$ in a $d$-dimensional ball of radius $...
In this article, we study the hitting probability of a circumference CR for a correlated Brownian mo...
Starting from the hyperbolic Brownian motion as a time-changed Brownian motion, we explore a set of ...
This article proves that the separation convergence towards the uniform distribution abruptly occurs...
The main results in this paper concern large and moderate deviations for the radial component of a n...
The main results in this paper concern large and moderate deviations for the radial component of a n...
In this article, we obtain exact asymptotics of the sojourn probability of Brownian motion with larg...
Iterated Bessel processes R[gamma](t),t>0,[gamma]>0 and their counterparts on hyperbolic spaces, i.e...
At each point of a Poisson point process of intensity λ in the hyperbolic place, center a ball of bo...
We give general sufficient conditions which imply upper and lower bounds for the probability that a ...
We give general sufficient conditions which imply upper and lower bounds for the probability that a ...
lems. Basic Question How does the Euclidean geometry of the domain (volume, diameter, inradius) and ...
A fundamental question in rough path theory is whether the expected signature of a geometric rough p...
Let a Brownian motion in the unit ball be absorbed if it hits a set generated by a radially symmetri...
In this paper telegraph processes on geodesic lines of the Poincare half-space and Poincare disk are...
We consider a Brownian particle with diffusion coefficient $D$ in a $d$-dimensional ball of radius $...
In this article, we study the hitting probability of a circumference CR for a correlated Brownian mo...
Starting from the hyperbolic Brownian motion as a time-changed Brownian motion, we explore a set of ...
This article proves that the separation convergence towards the uniform distribution abruptly occurs...
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