Leandro Zuberman

activity

20112026

most citedOn the lattice structure of probability spaces in quantum mechanics

20 citations · 20 across the 3 of their papers we have counts for

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math.CA2026

On the spectra of Cantor measures

Leandro Zuberman

We consider Cantor measures on the line, with contraction factor $N^{- 1} = p^{- α}$ (where $p$ a positive prime, $α$ a positive integer) and $m$ positive integer digits lying in disti…

math.CA2019

Measures with specified support and arbitrary Assouad dimensions

Kathryn E. Hare, Franklin Mendivil, Leandro Zuberman

We show that if the upper Assouad dimension of the compact set $E \subseteq R$ is positive, then given any $D > dim_{A} E$ there is a measure with support $E$ and upper Assou…

math.CA2017

Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous

Leandro Zuberman

We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self similar or homogeneous . The calculation is based on the local behavior of the nat…

math.CA2015

Packing and Hausdorff measures of Cantor sets associated with series

Kathryn Hare, Franklin Mendivil, Leandro Zuberman

We study a generalization of Morán's sum sets, obtaining information about the $h$ -Hausdorff and $h$ -packing measures of these sets and certain of their subsets.