2 citations · 2 across the 8 of their papers we have counts for
5 papers · 1 filter
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…