Fractal Transformation of Krein–Feller Operators

We consider a fractal transformed doubly reflected Brownian motion with state space being a Cantor-like set. By applying the theory of fractal transformations as developped by Barnsley, et al., together with an application of a generalised Taylor expression we show that its infinitesimal generator i...

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Bibliographic Details
Date:2023
Main Authors: Menzel, Max, Freiberg, Uta
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1017
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry