Adam Śpiewak

activity

20182025

most citedAround the variational principle for metric mean dimension

27 citations · 80 across the 15 of their papers we have counts for

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2 papers · 1 filter

math.CA2023

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 $μ$ in a Euclidean space has Hausdorff dimension smaller than a positive integer $k$ , then the orthogonal projection ont…

math.DS2023

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 $g_{i} (z) = λ_{i} z + t_{i}, λ_{i}, t_{i} \in C, ∣ λ_{i} ∣ < 1, i = 1, \dots, k$ . We pro…