Geometric methods in holomorphic dynamics

  • Romain Dujardin

    Sorbonne Université, Laboratoire de Probabilités, Statistique et Modélisation, 4 place Jussieu, 75005 Paris, France
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In this text we review a selection of contemporary research themes in holomorphic dynamics. The main topics that will be discussed are geometric (laminar and woven) currents and their applications, bifurcation theory in one and several variables, and the problem of wandering Fatou components.