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SUMMARY:Summer School in Dynamics (Advanced | (smr 3253)
DTSTART;VALUE=DATE-TIME:20180723T060000Z
DTEND;VALUE=DATE-TIME:20180727T200000Z
DTSTAMP;VALUE=DATE-TIME:20180323T105551Z
UID:indico-event-8467@ictp.it
DESCRIPTION:PARTICIPANTS WISHING TO ATTEND BOTH WEEKS OF THE SCHOOL SHOULD
NOT APPLY FROM THIS PAGE BUT SHOULD APPLY HERE: http://indico.ictp.it/eve
nt/8325/\n Participants wishing to attend only the second week can apply t
hrough the link available in the sidebar on this page.\n \n\n ***\nDEADL
INE for applicants requesting Financial Support: 2 APRIL 2018\nDEADLINE
for applicants NOT requesting Financial Support: 25 JUNE 2018Organizers an
d Lecturers:J. Rodriguez-Hertz\, SUS Tech.\, Shenzan\, ChinaC. Ulcigrai\,
Univ. Bristol\, U.K.A. Wilkinson\, Univ. Chicago\, U.S.A.Local Organizer:
S. Luzzatto\, ICTP\, Trieste\, ItalyA circle of concepts and methods in dy
namics \n\n Dynamical Systems and Ergodic Theory constitute a vibrant and
exciting field of current research in pure mathematics\, at the crossroad
between analysis\, probability and geometry. Several Fields Medals have be
en awarded in the area.\n\nThe School on Dynamical Systems will include in
troductory courses.Week 1: \n\n Specifically aimed at Masters students and
beginning PhD students\, introducing a variety of fundamental ideas and t
echniques in the simple setting of circle maps.\nWeek 2: \n\n Will consist
of more advanced courses which will build on the introductory courses and
give some ideas of current directions of research.\n \n\n Tutorial and
exercise sessions will be held regularly. Activities directed to encourage
and support women in mathematics\, such as panel discussions and small gr
oups mentoring and networking\, will be organized during the event.\n\n
\nTutors: O. Butterley\, ICTP\, Trieste\, ItalyI. Pasquinelli\, Durham Uni
versity\, U.K.D. Ravotti\, Univ. Bristol\, U.K.L. Simonelli\, ICTP\, Tries
te\, ItalyK. War\, Ruhr-Universitaet\, Bochum\, GermanyTOPICS: Week 1: C
ircle Maps \n• Rotation Numbers\;\n• Distortion control\;\n• Structu
ral stability\;\n• Renormalization and continued fractions\;\n• Symbol
ic dynamics and Sturmian sequences\;\n• Introduction to ergodic theory.\
n (Invariant measures\, ergodicity and Birkhoff ergodic theorem).Week
2: Advanced courses \n• Hyperbolicity\;\n• Ergodicity\;\n• Renorma
lization for zero entropy systems.\n\nhttp://indico.ictp.it/event/8467/
LOCATION:ICTP Budinich Lecture Hall (LB)
URL:http://indico.ictp.it/event/8467/
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