Sobir Boymurodov

collaborators

2 papers

math.DS2026

On the support of measures of large entropy for Hénon-Sibony maps

Sobir Boymurodov

Let $f$ be a Hénon-Sibony map of $C^{k}$ of algebraic degree $d_{+} \geq 2$ , whose inverse $f^{- 1}$ has algebraic degree $d_{-}$ . The topological entropy of $f$ is equal to $\log…

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…