K. Rakhimov

activity

20212026

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

2 citations · 2 across the 4 of their papers we have counts for

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3 papers · 1 filter

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 $- 1 < β < - \frac{1}{2}$ , 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 $f$ be a holomorphic automorphism of a compact Kähler manifold $X$ with simple action on cohomology. We show that every ergodic measure with sufficiently large entropy is suppo…

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…