Adam Śpiewak

activity

20182025

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4 papers · 1 filter

math.DS2025

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 $T$ of a compact manifold $M$ and smooth observable…

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 $Π_{λ} : X \to R^{d}$ and a collection M of measures on X under which for almost eve…

math.DS2019

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…

math.DS2018

A probabilistic Takens theorem

Krzysztof Barański, Yonatan Gutman, Adam Śpiewak

Let $X \subset R^{N}$ be a Borel set, $μ$ a Borel probability measure on $X$ and $T : X \to X$ a Lipschitz and injective map. Fix $k \in N$ greater than the (Hausdorf…