3 papers
math.CV2025
Capacity of the α-Brjuno-Rüssmann set
Nurali Akramov
In this work, we prove that the complement of the Brjuno set has a zero capacity with respect to the kernel $k^1_Ï(z,ξ)=\ln^2{|z-ξ|}\left|\ln{\ln{\left(e+\frac{1}{…
math.CV2025
On the capacity dimensions of the Brjuno and Perez-Marco sets
Nurali Akramov, Abduvahhob Ashirov
In this work, we prove that the complement of the Brjuno set has a zero capacity with respect to the kernel $k^1_Ï(z,ξ)=\ln^2{|z-ξ|}\left|\ln{\ln{\left(e+\frac{1}{…
math.CV2025
Capacity dimension of the Brjuno set in
Nurali Akramov, Karim Rakhimov
In this work, we prove that the complement of the Brjuno set in has zero -capacity with respect to the kernel …