CoTraDy
Combinatorics in Transcendental Dynamics
Total Cost €
0EC-Contrib. €
0Partnership
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Project "CoTraDy" data sheet
The following table provides information about the project.
| Coordinator |
UNIVERSITAT DE BARCELONA
Organization address contact info |
| Coordinator Country | Spain [ES] |
| Total cost | 170˙121 € |
| EC max contribution | 170˙121 € (100%) |
| Programme |
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility) |
| Code Call | H2020-MSCA-IF-2015 |
| Funding Scheme | MSCA-IF-EF-ST |
| Starting year | 2017 |
| Duration (year-month-day) | from 2017-09-01 to 2019-08-31 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | UNIVERSITAT DE BARCELONA | ES (BARCELONA) | coordinator | 170˙121.00 |
Map
Project objective
Complex dynamics studies the evolution of a complex manifold under the action of a holomorphic map. In this proposal we study the dynamical systems generated by transcendental (either entire or meromorphic) maps acting on the complex plane. By using a wide range of classic and new techniques, we investigates epecially the combinatorics of these maps: that is to say, we build relations between the dynamics of the transcendental map on some specific subset of the complex plane and the dynamics of the shift map on the space of infinite sequences over the integers. Combinatorics in this setting is a powerful tool to understand the dynamics of transcendental maps and to understand the structure of specific families of transcendental maps. The study of combinatorics for transcendental maps is also likely to offer new insights in the combinatorics for rational maps and possibly in other areas of complex dynamical systems, like the systems generated by the iteration of holomorphic maps on manifolds with more than one complex dimension.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2018 |
Anna Miriam Benini, John Erik Fornæss, Han Peters Entropy of Transcendental entire functions published pages: , ISSN: , DOI: |
2019-09-02 | |
| 2017 |
Benini, Anna Miriam; Fagella, Núria Singular values and non-repelling cycles for entire transcendental maps published pages: , ISSN: , DOI: |
1 | 2019-09-02 |
| 2018 |
Anna Miriam Benini, John Erik Fornæss, Han Peters Infinite Entropy for Transcendental Entire Functions with an Omitted Value published pages: , ISSN: 0251-4184, DOI: 10.1007/s40306-018-0300-1 |
Acta Mathematica Vietnamica | 2019-09-02 |
| 2017 |
Benini, Anna Miriam; Rempe-Gillen, Lasse A landing theorem for entire functions with bounded post-singular sets published pages: , ISSN: , DOI: |
2019-09-02 | |
| 2017 |
Benini, Anna Miriam A survey on MLC, Rigidity and related topics published pages: , ISSN: , DOI: |
1 | 2019-09-02 |
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