27 citations · 80 across the 15 of their papers we have counts for
16 papers
Optimal compressed sensing for mixing stochastic processes
Yonatan Gutman, Adam Śpiewak
Jalali and Poor introduced an asymptotic framework for compressed sensing of stochastic processes, demonstrating that any rate strictly greater than the mean information dimension…
On the regularity of time-delayed embeddings with self-intersections
Adam Śpiewak
We study regularity of the time-delayed coordinate maps \[ϕ_{h,k}(x) = (h(x), h(Tx), \ldots, h(T^{k-1}x))\] for a diffeomorphism of a compact manifold and smooth observable…
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 Śpiewak
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 eve…
Typical dimension and absolute continuity for classes of dynamically defined measures, Part II : exposition and extensions
Balázs Bárány, Károly Simon, Boris Solomyak +1
This paper is partly an exposition, and partly an extension of our work [1] to the multiparameter case. We consider certain classes of parametrized dynamically defined measures. Th…
Predicting dynamical systems with too few time-delay measurements: error estimates
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
We study the problem of reconstructing and predicting the future of a dynamical system by the use of time-delay measurements of typical observables. Considering the case of too few…
Regularity of almost-surely injective projections in Euclidean spaces
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
In a previous work we proved that if a finite Borel measure in a Euclidean space has Hausdorff dimension smaller than a positive integer , then the orthogonal projection ont…
Absolute continuity of self-similar measures on the plane
Boris Solomyak, Adam Śpiewak
Consider an iterated function system consisting of similarities on the complex plane of the form . We pro…
Prediction of dynamical systems from time-delayed measurements with self-intersections
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
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…
On the dimension of stationary measures for random piecewise affine interval homeomorphisms
Krzysztof Barański, Adam Śpiewak
We study stationary measures for iterated function systems (considered as random dynamical systems) consisting of two piecewise affine interval homeomorphisms, called Alsedà--Misiu…
On the Shroer-Sauer-Ott-Yorke predictability conjecture for time-delay embeddings
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
Shroer, Sauer, Ott and Yorke conjectured in 1998 that the Takens delay embedding theorem can be improved in a probabilistic context. More precisely, their conjecture states that if…
Typical absolute continuity for classes of dynamically defined measures
Balázs Bárány, Károly Simon, Boris Solomyak +1
We consider one-parameter families of smooth uniformly contractive iterated function systems on the real line. Given a family of parameter dependent measures …
Around the variational principle for metric mean dimension
Yonatan Gutman, Adam Śpiewak
We study variational principles for metric mean dimension. First we prove that in the variational principle of Lindenstrauss and Tsukamoto it suffices to take supremum over ergodic…
New Uniform Bounds for Almost Lossless Analog Compression
Yonatan Gutman, Adam Śpiewak
Wu and Verdú developed a theory of almost lossless analog compression, where one imposes various regularity conditions on the compressor and the decompressor with the input signal…
Singular stationary measures for random piecewise affine interval homeomorphisms
Krzysztof Barański, Adam Śpiewak
We show that the stationary measure for some random systems of two piecewise affine homeomorphisms of the interval is singular, verifying partially a conjecture by Alsedà and Misiu…
Metric mean dimension and analog compression
Yonatan Gutman, Adam Śpiewak
Wu and Verdú developed a theory of almost lossless analog compression, where one imposes various regularity conditions on the compressor and the decompressor with the input signal…
A probabilistic Takens theorem
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
Let be a Borel set, a Borel probability measure on and a Lipschitz and injective map. Fix greater than the (Hausdorf…