4 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…
Universal projection theorems with applications to multifractal analysis and the dimension of every ergodic measure on self-conformal sets simultaneously
Balázs Bárány, Károly Simon, Adam Åpiewak
We prove a universal projection theorem, giving conditions on a parametrized family of maps and a collection M of measures on X under which for almost e…
On the regularity of time-delayed embeddings with self-intersections
Adam Åpiewak
We study regularity of the time-delayed coordinate maps \[Ï_{h,k}(x) = (h(x), h(Tx), \ldots, h(T^{k-1}x))\] for a diffeomorphism of a compact manifold and smooth observabl…
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…