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(in Polish) Dynamika holomorficzna

General data

Course ID:	1000-1S23DH
Erasmus code / ISCED:	11.1 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	(unknown)
Name in Polish:	Dynamika holomorficzna
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Seminars for Mathematics
ECTS credit allocation (and other scores):	6.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	elective seminars

Classes in period "Academic year 2023/24" (in progress)

Time span:	2023-10-01 - 2024-06-16	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR SEM-MON
Type of class:	Monographic seminar, 60 hours more information
Coordinators:	Krzysztof Barański, Anna Zdunik
Group instructors:	Krzysztof Barański, Anna Zdunik
Students list:	(inaccessible to you)
Examination:	Grading
Main fields of studies for MISMaP:	mathematics
Requirements:	Analytic Functions of One Complex Variable 1000-134FAN
Short description:	Introduction to the theory of iteration of rational, entire and meromorphic complex functions. Basic notions and methods of holomorphic dynamical systems.
Full description:	The seminar will present basic notions and methods of the theory of iteration of holomorphic functions (polynomials, rational, entire and meromorphic functions) on the complex plane. This theory, started in the 1920-1930 by P. Fatou and G. Julia, has developed intensively since 1980, in connection with the progress of computer techniques that allow the visualisation of complicated fractal objects.
Bibliography:	A. Beardon, Iteration of Rational Functions, Springer-Verlag, New York, 1991. W. Bergweiler, Iteration of meromorphic functions, Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 2, 151–188. Avaliable online as a preprint on the author's page. L. Carleson, T. Gamelin, Complex dynamics, Springer-Verlag, New York, 1993. Avaliable online from the domain mimuw.edu.pl. J. Milnor, Dynamics in one complex variable, Annals of Mathematics Studies, 160, Princeton University Press, Princeton, 2006. A preliminary version available online as a preprint IMS Stony Brook University. F. Przytycki, J. Skrzypczak, Wstęp do teorii iteracji funkcji wymiernych na sferze Riemanna (in Polish), preprint IM PAN 30, 1993. Avaliable online as a preprint on the author's page.

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