32 citations · 76 across the 13 of their papers we have counts for
12 papers · 1 filter
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…
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…
Induced expansion for quadratic polynomials
Jacek Graczyk, Grzegorz Swiatek
We prove that non-hyperbolic non-renormalizable quadratic polynomials are expansion inducing. For renormalizable polynomials a counterpart of this statement is that in the case of…