Poisson kernel of half spaces in real hyperbolic spaces
Résumé
We provide an integral formula for the Poisson kernel of half-spaces for Brownian motion in real hyperbolic space $\H^n$. This enables us to find asymptotic properties of the kernel. We also show convergence to the Poisson kernel of the whole space $\H^n$. For n=3, 4 or 6 we compute explicit formulas for the Poisson kernel itself.
Domaines
Probabilités [math.PR]
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