927 citations
- European Southern ObservatoryCL67 papers
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- Osservatorio Astronomico di PadovaIT18 papers
- University of California, BerkeleyUS17 papers
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5 papers · 1 filter
Puiseux series dynamics of Quadratic rational maps
Jan Kiwi
We give a complete description for the dynamics of quadratic rational maps with coefficients in the completion of the field of formal Puiseux series.
Lyapunov spectrum for exceptional rational maps
Katrin Gelfert, Feliks Przytycki, Michal Rams +1
We study the dimension spectrum for Lyapunov exponents for rational maps acting on the Riemann sphere and characterize it by means of the Legendre-Fenchel transform of the hidden v…
Cubic Polynomial Maps with Periodic Critical Orbit, Part II: Escape Regions
Araceli Bonifant, Jan Kiwi, John Milnor
The parameter space for monic centered cubic polynomial maps with a marked critical point of period is a smooth affine algebraic curve whose genus increases rap…
Invariant measures of minimal post-critical sets of logistic maps
María Isabel Cortez, Juan Rivera-Letelier
We construct logistic maps whose restriction to the omega-limit set of its critical point is a minimal Cantor system having a prescribed number of distinct ergodic and invariant pr…
On the Topology of Solenoidal Attractors of the Cylinder
Rodrigo Bamón, Jan Kiwi, Juan Rivera-Letelier +1
We study the dynamics of skew product endomorphisms acting on the cylinder $\cyl$, of the form $$ \tht \mapsto (\ell θ, \la θ+ τ(θ)), $$ where is an integer, $\la \i…