2 papers
math.DS2025
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…
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…