Capacities of Julia sets of rational functions
โ Scribed by Yin Yongcheng
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1990
- Tongue
- English
- Weight
- 382 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider a rational function ,(z) # K(z) in one variable defined over an algebraically closed field K which is complete with respect to a valuation v. We study how the reduction (modulo v) of such functions behaves under composition, and in particular under iteration. We also investigate the rela
We characterize the Julia sets of certain exponential functions. We show that the Julia sets J F ฮป n of F ฮป n z = ฮป n e z n where ฮป n > 0 is the whole plane , provided that lim kโโ F k ฮป n 0 = โ. In particular, this is true when ฮป n are real numbers such that ฮป n > 1 ne 1/n . On the other hand, if 0