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X-WR-CALNAME;VALUE=TEXT:Etkinlikler_Takvimi
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DTSTAMP:20181019T123000Z
UID:1539346844111@https://www.cankaya.edu.tr/takvim/
CATEGORIES:Seminer
DTSTART:20181019T123000Z
DTEND:20181019T140000Z
SUMMARY:Complex Dynamics in Higher Dimension- Assist. Prof. Dr. Özcan Yazıcı
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
 Etkinliği Düzenleyen: Fen Edebiyat Fakültesi\n
 Telefon: 2331420\n
 E-Posta: math@cankaya.edu.tr\n
LOCATION:Merkez Kampüs
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