Hitting hyperbolic half-space

• Autorzy: Małecki J. , Serafin G.
• Języki publikacji: EN

Abstrakty

EN

Let (…) be the n-dimensional hyperbolic Brownian motion with drift, that is a diffusion on the real hyperbolic space (…) having the Laplace-Beltrami operator with drift as its generator. We prove the reflection principle for (…) which enables us to study the process (…) killed when exiting the hyperbolic half space, that is the set (…). We provide formulae, uniform estimates and describe asymptotic behavior of the Green function and the Poisson kernel of D for the process (…). Finally, we derive formula for the (…) Poisson kernel of the set D.

Słowa kluczowe

EN

Laplace-Beltrami operator; hyperbolic space; hyperbolic Brownian motion; Poisson kernel; Green function; uniform estimate

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 2
• Strony: 337--360
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Małecki J.

autor

Serafin G.

• Institute Of Mathematics And Computer Science Wroclaw University Of Technology Ul. Wybrzeze Wyspianskiego 27 50 370 Wroclaw, Poland,

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