On Potential Theory of Hyperbolic Brownian Motion with Drift

• Autorzy: Serafin Grzegorz

Identyfikatory

DOI

10.37190/0208-4147.40.1.1

• Języki publikacji: EN

Abstrakty

EN

Consider the λ-Green function and the λ-Poisson kernel of a Lipschitz domain U ⊂ Hⁿ = {x ∈ Rⁿ: x_n > 0} for hyperbolic Brownian motion with drift. We provide several relationships that facilitate studying those objects and explain somewhat their nature. As an application, we yield uniform estimates for sets of the form S_a,b = {x ∈ Hⁿ : x_n > a, x₁ ∈ (0, b)}, a, b > 0, which covers and extends existing results of that kind.

Słowa kluczowe

EN

hyperbolic space; hyperbolic Brownian motion with drift; λ-Poisson kernel; λ-Green function

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2020
• Tom: Vol. 40, Fasc. 1
• Strony: 1--22
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Serafin Grzegorz

• Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).