3 citations
6 papers
Continuum-wise hyperbolicity, periodic shadowing, and measures of maximal entropy
Bernardo Carvalho, Piotr Oprocha, Elias Rego
We prove that cw-hyperbolic homeomorphisms with jointly continuous stable/unstable holonomies satisfy the periodic shadowing property and, if they are topologically mixing, the per…
Finite-Step Bounds for Iterated Correlation Matrices
Ishrak AlhajjHassan
We establish finite-step probabilistic upper bounds on the contraction ratios for iterated Pearson correlation dynamics. Let be the sequence…
Geometric Reasoning in the Embedding Space
Jan Hůla, David MojžÃÅ¡ek, JiÅà JaneÄek +2
In this contribution, we demonstrate that Graph Neural Networks and Transformers can learn to reason about geometric constraints. We train them to predict spatial position of point…
On limit sets and equicontinuity in the hyperspace of continua in dimension one
Domagoj JeliÄ, 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 topolo…
First-principles discovery of stable, anisotropic, semiconducting Sb2X2O (X = S, Se) and Janus Sb2SSeO nanosheets for optoelectronics and photocatalysis
Masoud Shahrokhi, Bohayra Mortazavi
In this work, we conduct a comprehensive first-principles investigation into the design and discovery of novel antimony oxychalcogenide monolayers Sb2X2O (X = S, Se) and Janus Sb2S…
Tranched graphs: consequences for topology and dynamics
MichaÅ 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…