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math.DS2026
A Lipschitz refinement of the Bebutov-Kakutani dynamical embedding theorem for connected Lie group actions
Yonatan Gutman, Qiang Huo, Kangbo Ouyang
Let be a connected Lie group equipped with a compatible right-invariant metric and let act continuously on a compact metrizable space . We prove that admits a -eq…
math.DS2026
Generic Sharp Shift Embedding for Amenable Group Actions with the Uniform Rokhlin Property and Comparison
Yonatan Gutman, Chunlin Liu
Naryshkin recently proved that a free action of a countably infinite discrete amenable group on a compact metrizable space with the uniform Rokhlin property and comparison…
math.DS2026
Dynamical Cantor Staircase Functions and The Small Flow Boundary Property
Tomasz Downarowicz, Yonatan Gutman, Chunlin Liu
The small flow boundary property (SFBP), introduced by Burguet for fixed-point free topological flows, is a non-trivial generalization of the small boundary property (SBP). We char…