Cel 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. Dziedzina nauki natural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatorics Słowa kluczowe One-dimensional complex dynamical systems holomorphic dynamics MLC conjecture Transcendental dynamics rigidity Program(-y) 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 Temat(-y) MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Zaproszenie do składania wniosków H2020-MSCA-IF-2015 Zobacz inne projekty w ramach tego zaproszenia System finansowania MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) Koordynator UNIVERSITAT DE BARCELONA Wkład UE netto € 170 121,60 Adres GRAN VIA DE LES CORTS CATALANES 585 08007 Barcelona Hiszpania Zobacz na mapie Region Este Cataluña Barcelona Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 170 121,60