Combinatorics in Transcendental Dynamics

Projektinformationen

CoTraDy

ID Finanzhilfevereinbarung: 703269

DOI 10.3030/703269

Das Projekt endete am 30 Dezember 2018

EK-Unterschriftsdatum 23 November 2016

Startdatum 1 September 2017

Enddatum 31 August 2019

Finanziert unter

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Gesamtkosten € 170 121,60

EU-Beitrag € 170 121,60

Koordiniert durch

UNIVERSITAT DE BARCELONA
Spain

Ziel

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.

Wissenschaftliches Gebiet

• natural sciences › mathematics › applied mathematics › dynamical systems
• natural sciences › mathematics › pure mathematics › discrete mathematics › combinatorics

Schlüsselbegriffe

• One-dimensional complex dynamical systems
• holomorphic dynamics
• MLC conjecture
• Transcendental dynamics
• rigidity

Programm/Programme

• H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme
• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility

Thema/Themen

• MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF)

Aufforderung zur Vorschlagseinreichung

H2020-MSCA-IF-2015

Finanzierungsplan

MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

Koordinator

UNIVERSITAT DE BARCELONA

• Netto-EU-Beitrag: € 170 121,60
• Adresse: GRAN VIA DE LES CORTS CATALANES 585 ; 08007 Barcelona ; Spanien
• Region: Este › Cataluña › Barcelona
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 170 121,60