Estimates of the Transition Densities for the Reflected Brownian Motion on Simple Nested Fractals

• Autorzy: Olszewski Mariusz

Identyfikatory

DOI

10.19195/0208-4147.39.2.10

• Języki publikacji: EN

Abstrakty

EN

We give sharp two-sided estimates for the functions g_M (t, x, y) and g_M (t, x, y) − g(t, x, y), where g_M (t, x, y) are the transition probability densities of the reflected Brownian motion on an M-complex of order M ∈ Z of an unbounded planar simple nested fractal and g(t, x, y) are the transition probability densities of the “free” Brownian motion on this fractal. This is done for a large class of planar simple nested fractals with the good labeling property.

Słowa kluczowe

EN

projection; good labeling property; reflected process; transition probability density; simple nested fractal; graph metric; Sierpiński gasket

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2019
• Tom: Vol. 39, Fasc. 2
• Strony: 423--440
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Olszewski Mariusz

• 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).