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math.DS2024
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…
math.DS2024
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…
math.DS2024
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…