S. Bazarbaev

collaborators

2 papers

math.NT2026

Exact logarithmic Hausdorff and capacity exponents of the non-Brjuno set

Sardor Bazarbaev, Karim Rakhimov

Let $N$ be the set of non-Brjuno real numbers. We determine the exact critical exponent of $N$ for both logarithmic Hausdorff measure and logarithmic capacity.…

math.DS2024

On the support of measures of large entropy for polynomial-like maps

Sardor Bazarbaev, Fabrizio Bianchi, Karim Rakhimov

Let $f$ be a polynomial-like map with dominant topological degree $d_{t} \geq 2$ and let $d_{k - 1} < d_{t}$ be its dynamical degree of order $k - 1$ . We show that the support of every ergodi…