1 citations · 3 across the 4 of their papers we have counts for
4 papers
The pruning front conjecture, folding patterns and classification of Hénon maps in the presence of strange attractors
Jan P. Boroński, Sonja Štimac
We study the topological dynamics of Hénon maps. For a parameter set generalizing the Benedicks-Carleson parameters (the Wang-Young parameter set) we obtain the following: The prun…
On conjugacy between natural extensions of 1-dimensional maps
J. Boroński, P. Minc, S. Štimac
We prove that for any nondegenerate dendrite there exist topologically mixing maps and , such that the natural extensions (aka shift homeom…
Lozi-like maps
Michal Misiurewicz, Sonja Štimac
We define a broad class of piecewise smooth plane homeomorphisms which have properties similar to the properties of Lozi maps, including the existence of a hyperbolic attractor. We…
Pure discrete spectrum in substitution tiling spaces
M. Barge, S. Štimac, R. F. Williams
We introduce a procedure for establishing pure discrete spectrum for substitution tiling systems of Pisot family type and illustrate with several examples.