2 citations · 2 across the 8 of their papers we have counts for
9 papers
Continuum-wise hyperbolicity is exactly the pseudo-Anosov dynamics with spine singularities
Rodrigo Arruda, Bernardo Carvalho, Piotr Oprocha +1
We establish a complete structural classification for cw-hyperbolic surface homeomorphisms. Specifically, we prove that a surface homeomorphism is cw-hyperbolic if, and onl…
On limit sets and equicontinuity in the hyperspace of continua in dimension one
Domagoj Jelić, Piotr Oprocha
The paper studies the structure of -limit sets of map induced on the hyperspace of all connected compact sets, by dynamical system acting on a topolog…
Every nondegenerate Peano continuum admits a pure mixing selfmap
Klara Karasova, Michał Kowalewski, Piotr Oprocha
We prove that every Peano continuum (a space that is a continuous image of ) admits a topologically mixing but not exact map. The constructed map has a dense set of periodic…
Observable Dynamics and the Generic Coincidence of Milnor, Statistical, and Physical Attractors
Magdalena Foryś-Krawiec, Jana Hantáková, Michał Kowalewski +1
We study observable dynamics of generic continuous interval maps. We prove that, for a residual subset of , the global Milnor, statistical, and physical attractors coinci…
On the cohomology of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
We study the cohomology of symbolic dynamical systems called homshifts: they are the nearest-neighbour shifts of finite type whose adjacency rules are the same in ev…
Undecidability of the block gluing classes of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
A homshift is a -dimensional shift of finite type which arises as the space of graph homomorphisms from the grid graph to a finite connected undirected graph .…
On recurrence and entropy in hyperspace of continua in dimension one
Domagoj Jelić, Piotr Oprocha
We show that if is a topological graph, and is continuous map, then the induced map acting on the hyperspace of all connected subsets of by natural f…
Tranched graphs: consequences for topology and dynamics
Michał Kowalewski, Piotr Oprocha
We compare quasi-graphs and generalized -type continua, which are two classes of continua that generalize topological graphs and contain the Warsaw circle as a nontrivia…
Various questions around finitely positively expansive dynamical systems
Silvère Gangloff, Pierre Guillon, Piotr Oprocha
It is well-known that when a positively expansive dynamical system is invertible then its underlying space is finite. C.Morales has introduced a decade ago a natural way to general…