2 papers
math.DS2025
Measures and dynamics on Pascal-Bratteli diagrams
Sergey Bezuglyi, Artem Dudko, Olena Karpel
We introduce and study dynamical systems and measures on stationary generalized Bratteli diagrams that are represented as the union of countably many classical Pascal-Bratteli…
math.DS2024
Wild attractors for Fibonacci maps
Artem Dudko, Denis Gaidashev
Existence of wild attractors -- attractors whose basin has a positive Lebesgue measure but is not a residual set -- has been one of central themes in one-dimensional dynamics. It h…