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math.DS2025
On the geometry of period doubling invariant sets for area-preserving maps
Denis Gaidashev, Dan Lilja
The geometry of the period doubling Cantor sets of strongly dissipative infinitely renormalizable Hénon-like maps has been shown to be unbounded by M. Lyubich, M. Martens and A. d…
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…