Name
Abstract | ||
|---|---|---|
A remarkable result by Denjoy and Wolff states that every analytic self-map. of the open unit disc D of the complex plane, except an elliptic automorphism, has an attractive fixed point to which the sequence of iterates {phi(n)}(n >= 1) converges uniformly on compact sets: if there is no fixed point in D, then there is a unique boundary fixed point that does the job, called the Denjoy-Wolff point. This point provides a classification of the analytic self-maps of D into four types: maps with interior fixed point, hyperbolic maps, parabolic automorphism maps and parabolic non-automorphism maps. We determine the convergence of the Aleksandrov-Clark measures associated to maps falling in each group of such classification. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1112/jlms/jdv002 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Field | DocType | Volume |
Convergence (routing),Topology,Mathematical analysis,Automorphism,Compact space,Complex plane,Fixed point,Iterated function,Mathematics,Parabola | Journal | 91 |
Issue | ISSN | Citations |
2 | 0024-6107 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Eva A. Gallardo-Gutiérrez | 1 | 0 | 0.34 |
| Pekka J. Nieminen | 2 | 0 | 0.34 |