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Combinatorics in Transcendental Dynamics

Total Cost €


EC-Contrib. €






Project "CoTraDy" data sheet

The following table provides information about the project.


Organization address
postcode: 8007

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 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


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITAT DE BARCELONA ES (BARCELONA) coordinator 170˙121.00


 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.


year authors and title journal last update
List of publications.
2018 Anna Miriam Benini, John Erik Fornæss, Han Peters
Entropy of Transcendental entire functions
published pages: , ISSN: , DOI:
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:
2017 Benini, Anna Miriam
A survey on MLC, Rigidity and related topics
published pages: , ISSN: , DOI:
1 2019-09-02

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