On the entropy of Darboux functions

• Autorzy: Ryszard J. Pawlak
• Języki publikacji: EN

Abstrakty

EN

We prove some results concerning the entropy of Darboux (and almost continuous) functions. We first generalize some theorems valid for continuous functions, and then we study properties which are specific to Darboux functions. Finally, we give theorems on approximating almost continuous functions by functions with infinite entropy.

Kategorie tematyczne

• 37B40: Topological entropy
• 54H20: Topological dynamics
• 26A18: Iteration
• 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)
• 37E15: Combinatorial dynamics (types of periodic orbits)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 116
• Numer: 2
• Strony: 227-241

Daty

wydano

2009

Twórcy

autor

Ryszard J. Pawlak

• Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238 Łódź, Poland
• College of Computer Science, Rzgowska 17a, 93-008 Łódź, Poland

Identyfikatory

DOI

10.4064/cm116-2-7