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math.DS2024
Parametric topological entropy of possibly discontinuous maps in compact Hausdorff spaces and hyperspaces
Pavel LudvÃk, Jan Andres
We will consider various definitions of topological entropy for multivalued nonautonomous dynamical systems in compact Hausdorff spaces. Some of them can deal with arbitrary multiv…
math.DS2024
Note on the metric entropy for multivalued maps
Jan Andres, Pavel LudvÃk
The main aim of this note is to point out by means of counter-examples that some arguments of the proofs of two theorems about a "half variational principle" for multivalued maps,…
math.DS2024
Parametric topological entropy on orbits of arbitrary multivalued maps in compact Hausdorff spaces
Jan Andres, Pavel LudvÃk
The Adler-Konheim-McAndrew type definitions and the Bowen-Dinaburg-Hood type definitions of parametric topological entropy will be considered on orbits and coincidence orbits of no…