59 citations · 144 across the 22 of their papers we have counts for
25 papers
There are not many periodic orbits in bunches for iteration of complex quadratic polynomials of one variable
Feliks Przytycki
It is proved that for every complex quadratic polynomial with Cremer's fixed point (or periodic orbit) for every , there is at most one periodic orbit of minimal per…
On invariant measures of "satellite" infinitely renormalizable quadratic polynomials
Genadi Levin, Feliks Przytycki
Let f(z)=z^2+c be an infinitely renormalizable quadratic polynomial and J_\infty be the intersection of forward orbits of "small" Julia sets of its simple renormalizations. We prov…
McMullen's and geometric pressures and approximating Hausdorff dimension of Julia sets from below
Feliks Przytycki
We introduce new variants of the notion of geometric pressure for rational functions on the Riemann sphere, including non-hyperbolic functions, in the hope some of them occur usefu…
No hyperbolic sets in J_\infty for infinitely renormalizable quadratic polynomials
Genadi Levin, Feliks Przytycki
Let f be an infinitely-renormalizable quadratic polynomial and J_\infty be the intersection of forward orbits of "small" Julia sets of simple renormalizations of f. We prove that J…
On Hausdorff dimension of polynomial not totally disconnected Julia sets
Feliks Przytycki, Anna Zdunik
We prove that for every polynomial of one complex variable of degree at least 2 and Julia set not being totally disconnected nor a circle, nor interval, Hausdorff dimension of this…
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids
Reza Mohammadpour, Feliks Przytycki, Michal Rams
We extend results by B. Hasselblatt, J. Schmeling in \emph{Dimension product structure of hyperbolic sets} (2004), and by the third author and K. Simon in \emph{Hausdorff and packi…