K. Rakhimov

collaborators

2 papers

math.CV2025

Capacity dimension of the Brjuno set in $C^{n}$

Nurali Akramov, Karim Rakhimov

In this work, we prove that the complement of the Brjuno set in $C^{n}$ has zero $C_{I ¨} $ -capacity with respect to the kernel $k_{I ¨} (z, I^¾) = ∥ z - I^¾ ∥^{- 2 n + 2} ∣ lo g ∥ z - I^¾∥ ∣^{I ¨} $ …

math.DS2024

Propagation of equilibrium states in stable families of endomorphisms of $P^{k} (C)$

We prove that, within any holomorphic family of endomorphisms of $P^{k} (C)$ in any dimension $k \geq 1$ and algebraic degree $d \geq 2$ , the measurable holomorphic mo…

Capacity dimension of the Brjuno set in Cn

Propagation of equilibrium states in stable families of endomorphisms of Pk(C)

Capacity dimension of the Brjuno set in $C^{n}$

Propagation of equilibrium states in stable families of endomorphisms of $P^{k} (C)$