
arXiv: 1808.06360
We prove that all transcendental entire functions have infinite topological entropy.
Topological entropy, Dynamical Systems (math.DS), 510, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, hyperbolic metric, Entire functions of one complex variable (general theory), FOS: Mathematics, Mathematics - Dynamical Systems, entropy, transcendental dynamics
Topological entropy, Dynamical Systems (math.DS), 510, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, hyperbolic metric, Entire functions of one complex variable (general theory), FOS: Mathematics, Mathematics - Dynamical Systems, entropy, transcendental dynamics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
