2 citations · 2 across the 8 of their papers we have counts for
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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…
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…