activity
20202026
most citedMonotonicity of dynamical degrees for H{é}non-like and polynomial-like maps

2 citations · 2 across the 6 of their papers we have counts for

collaborators
Showing 2026Show all

3 papers · 1 filter

math.NT2026

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

Sardor Bazarbaev, Karim Rakhimov

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

math.DS2026

Linear response for random systems with a cusp

Davrbek Oltiboev, Karim Rakhimov, Marks Ruziboev

We study i.i.d.\ random compositions of cusp tent-like interval maps having a common cusp point and a common cusp value. For cusp exponents , we prove that the assoc…

math.DS2026

On the support of measures of large entropy for automorphisms of Kähler manifolds

Fabrizio Bianchi, Sobir Boymurodov, Karim Rakhimov

Let be a holomorphic automorphism of a compact Kähler manifold with simple action on cohomology. We show that every ergodic measure with sufficiently large entropy is suppo…