Remus Radu


Institute for Mathematical Science
Stony Brook University

office: Math Tower 4-103
phone: (631) 632-8266
e-mail: remus.radu@stonybrook.edu

Synopsis

My interests are in the areas of complex dynamics (in one or several variables), analysis, topology and the interplay between these fields. My research is focused on the study of complex Hénon maps, which are a special class of polynomial automorphisms of $\mathbb{C}^2$ with chaotic behavior. I am interested in understanding the global topology of the Julia sets $J$, $J^-$ and $J^+$ of a complex Hénon map. I am also interested in understanding the dynamics of maps with non-hyperbolic behavior such as Hénon maps or more generally holomorphic germs of $(\mathbb{C}^2,0)$ with a semi-indifferent fixed point. Some specific topics that I work on include: relative stability of semi-parabolic Hénon maps and connectivity of the Julia set $J$, regularity properties of the boundary of a Siegel disk of a semi-Siegel Hénon map, local structure of a non-linearizable germ of $(\mathbb{C}^2,0)$ with irrational rotation number.

Papers and preprints

Thesis

R. Radu, Topological models for hyperbolic and semi-parabolic complex Hénon maps, Cornell University, 2013

Selected talks and slides




Last updated December 2016