Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Boronski, Jan P."'
Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensional compact set can be expressed by a graph cover (e.g.\ non-minimalit
Externí odkaz:
http://arxiv.org/abs/2310.20291
Autor:
Boroński, Jan P., Štimac, Sonja
We study the topological dynamics of H\'enon maps. For a parameter set generalizing the Benedicks-Carleson parameters (the Wang-Young parameter set) we obtain the following: The pruning front conjecture (due to Cvitanovi\'c); A kneading theory (reali
Externí odkaz:
http://arxiv.org/abs/2302.12568
Autor:
Boroński, Jan, Štimac, S.
Inspired by a recent work of Crovisier and Pujals on mildly dissipative diffeomorphisms of the plane, we show that H\'enon-like and Lozi-like maps on their strange attractors are conjugate to natural extensions (a.k.a. shift homeomorphisms on inverse
Externí odkaz:
http://arxiv.org/abs/2104.14780
We provide several new examples in dynamics on the $2$-sphere, with the emphasis on better understanding the induced boundary dynamics of invariant domains in parametrized families. First, motivated by a topological version of the Poincar\'e-Bendixso
Externí odkaz:
http://arxiv.org/abs/1906.04640
Given a collection of pairwise co-prime integers $% m_{1},\ldots ,m_{r}$, greater than $1$, we consider the product $\Sigma =\Sigma _{m_{1}}\times \cdots \times \Sigma _{m_{r}}$, where each $\Sigma _{m_{i}}$ is the $m_{i}$-adic solenoid. Answering a
Externí odkaz:
http://arxiv.org/abs/1812.02480
In this article, we show that R.H. Bing's pseudo-circle admits a minimal non-invertible map. This resolves a problem raised by Bruin, Kolyada and Snoha in the negative. The main tool is the Denjoy-Rees technique, further developed by B\'eguin-Crovisi
Externí odkaz:
http://arxiv.org/abs/1810.07688
Autor:
Boronski, Jan P.
The result of Boyce and Huneke gives rise to a 1-dimensional continuum, which is the intersection of a descending family of disks, that admits two commuting homeomorphisms without a common fixed point.
Comment: to appear in Proceedings of the Am
Comment: to appear in Proceedings of the Am
Externí odkaz:
http://arxiv.org/abs/1809.01195
Motivated by a recent result of Ciesielski and Jasinski we study periodic point free Cantor systems that are conjugate to systems with vanishing derivative everywhere, and more generally locally radially shrinking maps. Our study uncovers a whole spe
Externí odkaz:
http://arxiv.org/abs/1703.01816
Autor:
Boronski, Jan P., Smith, Michel
In 1985 M. Smith constructed a nonmetric pseudo-arc; i.e. a Hausdorff homogeneous, hereditary equivalent and hereditary indecomposable continuum. Taking advantage of a decomposition theorem of W. Lewis, he obtained it as a long inverse limit of metri
Externí odkaz:
http://arxiv.org/abs/1701.01862
We prove that there exists a topologically mixing homeomorphism which is completely scrambled. We also prove that for any integer $n\geq 1$ there is a continuum of topological dimension $n$ supporting a transitive completely scrambled homeomorphism,
Externí odkaz:
http://arxiv.org/abs/1609.01631