Valentina Cammarota

On the Asymptotic Behavior of the Hyperbolic Brownian Motion

The main results in this paper concern large and moderate deviations for the radial component of a

Travelling randomly on the poincaré half-plane with a pythagorean compass

n

Cascades of Particles Moving at Finite Velocity in Hyperbolic Spaces

n-dimensional hyperbolic Brownian motion (for

Joint distribution of the process and its sojourn time in a half-line [a,+∞) for pseudo-processes driven by a high-order heat-type equation

n\ge 2

Hitting spheres on hyperbolic spaces@@@Hitting spheres on hyperbolic spaces

n≥2) on the Poincaré half-space. We also investigate the asymptotic behavior of the hitting probability