Topology Proceedings
Document # baam-47
Topology Proceedings 28 No. 2 (2004), pp. 639-646 |
|
 |
The process of finding f¢ for an entire function f has infinite topological entropy
Héctor Méndez-Lango
Let (H(C), r) be the metric space of all entire
functions f where the metric r induces the topology of uniform
convergence on compact subsets of the complex plane. Let D: H(C) ® H(C) be the linear mapping that assigns to
each f its derivative, D(f) = f¢. We show in this note that
there exists a compact subset of H(C), say K, that is
invariant under D, and D restricted to K has infinite topological
entropy.
Keywords: Topological entropy, chaotic maps
Mathematics Subject Classification: 54H20 37B40
- Document formats
- AtlasImage format
- PostScript file 286.0 Kb
- PDF file 108.9 Kb
Topology Proceedings,
Volume 28, No. 2 (2004)
Subscription information
Copyright © 2004
Auburn University,
Nipissing University
and Topology Atlas