Holomorphic dynamics pdf

They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasicon- formal surgery and use trans-quasiconformal surgery. Holomorphic Dynamics By S. MOROSAWA, Y. NISHIMURA, M. TANIGUCHI and T. UEDA Cambridge Studies in Advanced Mathematics, 66. Cambridge University Press, 2000. ISBN 0 521 66258 3. - Volume 20 Issue 6 Geometric methods in holomorphic dynamics. Romain Dujardin. Published 9 September 2021. Mathematics. In this note 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 In an upcoming submission, the author and Otto van Koert show that, for low energies and arbitrary mass ratio, the spatial circular restricted three body problem (SCR3BP) admits a