5 papers
Optimal compressed sensing for mixing stochastic processes
Yonatan Gutman, Adam Åpiewak
Jalali and Poor introduced an asymptotic framework for compressed sensing of stochastic processes, demonstrating that any rate strictly greater than the mean information dimension…
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…
On the representation of measurable and continuous dynamical systems by Lipschitz functions
Yonatan Gutman, Qiang Huo
Two representations theorems are presented: 1. Any Borel action of a second countable locally compact group on a standard Borel space admits an injective -equivariant Bo…
A Lipschitz Refinement of the Multidimensional Bebutov--Kakutani Dynamical Embedding Theorem
Yonatan Gutman, Qiang Huo, Masaki Tsukamoto
We prove that a continuous action of on a compact metrizable space equivariantly embeds into the shift action on the space of one-Lipschitz functions from $\mathbb{R…
Prediction of dynamical systems from time-delayed measurements with self-intersections
Krzysztof BaraÅski, Yonatan Gutman, Adam Åpiewak
In the context of predicting the behaviour of chaotic systems, Schroer, Sauer, Ott and Yorke conjectured in 1998 that if a dynamical system defined by a smooth diffeomorphism o…