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X-WR-CALNAME;VALUE=TEXT:Etkinlikler_Takvimi
BEGIN:VEVENT
DTSTAMP:20181019T123000Z
UID:1539346844111@http://www.cankaya.edu.tr/takvim/
CATEGORIES:Seminer
DTSTART:20181019T123000Z
DTEND:20181019T140000Z
SUMMARY:Complex Dynamics in Higher Dimension- Assist. Prof. Dr. Ã–zcan YazÄ±cÄ±
DESCRIPTION:Complex dynamics is the study of iterations of
holomorphic functions. In one variable many
results were obtained by the tools of complex
analysis, like Montel's theorem. However, in
higher dimension, those tools are not available.
Later it was realized that complex potential
theory can also be used in dynamical studies
in one variable. This idea inspired the
study of complex dynamics in several variables.
In this talk we will first mention some well
known results in one variable dynamics. Then
we will discuss dynamics of the polynomial
automorphisms of $\mathbb C^2$, namely, H\'enon
maps. For these maps, we can construct Fatou
sets, Julia sets and invariant probability
measures which are analogous to those in the
complex plane. If time permits, some recent
results on the dynamics in higher dimension
will be given.\n\n
EtkinliÄŸi DÃ¼zenleyen: Fen Edebiyat FakÃ¼ltesi\n
Telefon: 2331420\n
E-Posta: math@cankaya.edu.tr\n
LOCATION:Merkez KampÃ¼s
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