32 citations · 76 across the 13 of their papers we have counts for
13 papers
Limit Drift for Complex Feigenbaum Mappings
Genadi Levin, Grzegorz Swiatek
We study the dynamics of towers defined by fixed points of renormalization for Feigenbaum polynomials in the complex plane with varying order \ell of the critical point. It is know…
Limit drift
Genadi Levin, Grzegorz Swiatek
We study the problem of the existence of wild attractors for critical circle covering maps with Fibonacci dynamics.
No Finite Invariant Density for Misiurewicz Exponential Maps
Janina Kotus, Grzegorz Swiatek
For exponential mappings such that the orbit of the only singular value 0 is bounded, it is shown that no integrable density invariant under the dynamics exists on the complex plan…
Measure of the Julia Set of the Feigenbaum map with infinite criticality
Genadi Levin, Grzegorz Swiatek
We consider fixed points of the Feigenbaum (periodic-doubling) operator whose orders tend to infinity. It is known that the hyperbolic dimension of their Julia sets go to 2. We pro…
Metric attractors for smooth unimodal maps
Jacek Graczyk, Duncan Sands, Grzegorz Swiatek
We classify the measure theoretic attractors of general C^3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.
Dynamics and Universality of Unimodal Mappings with Infinite Criticality
Genadi Levin, Grzegorz Swiatek
We consider infinitely renormalizable unimodal mappings with topological type which is periodic under renormalization. We study the limiting behavior of fixed points of the renorma…