EMS Lectures

The European Mathematical Society invites a distinguished mathematician, in each odd-numbered year, to visit an institution within the area covered by the EMS, to give a series of three to five lectures of an advanced expository nature on a topic of current research interest.

The EMS Lecturer of 1999 was Professor M. Lyubich (SUNY Stony Brook, USA). He gave his five EMS Lectures at the Russian Academy of Sciences, St. Petersburg on May 17 - 22; and repeated them at Universitat de Barcelona on May 31 - June 4 and at the Technical University of Denmark on June 14 - 18.

Real and Complex Dynamics.

Abstract:
Real and complex one-dimensional dynamics have been in the focus of research for the past 20 years. The ideas of dynamics, statistical physics, geometric function theory and hyperbolic geometry (supported by computer experiments) came together to reveal many rich and fascinating structures. As a result, several central problems have been recently resolved. Among them are the proofs of the real Rigidity Conjecture, the Feigenbaum Universality Conjecture and the Regular or Stochastic Conjecture. Altogether it gives a complete picture of dynamics in the real quadratic family.

For more information, please contact either the EMS Secretariat:

EMS Secretariat
Department of Mathematics
P.O. Box 4
FIN-00014 University of Helsinki
Finland
fax: +358-9-1912 3213
e-mail: tuulikki.makelainen@helsinki.fi

or one of the local organisers:

Anatoly Vershik
P.O.M.I.
Fontanka 27
191011 St. Petersburg
Russia
fax: +7-812-310 53 77
e-mail: Vershik@pdmi.ras.ru

Nuria Fagella
Dep. de Mat. Aplicada i Analisi
Universitat de Barcelona
Gran Via 585
E-08007 Barcelona
Spain
fax: +34-93-402 1601
e-mail: fagella@maia.ub.es

Bodil Branner
Department of Mathematics
Building 303
Technical University of Denmark
DK-2800 Lyngby
Denmark
fax: +45-45-88 13 99
e-mail: branner@mat.dtu.dk