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DTSTART:20220327T030000
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DTSTAMP:20260424T125157Z
UID:62f0f85aab485010810496@ist.ac.at
DTSTART:20221025T140000
DTEND:20221025T150000
DESCRIPTION:Speaker: Artem Dudko\nhosted by Kaloshin Group\nAbstract: Rough
 ly speaking\, Julia set of a holomorphic map is the set of points near whi
 ch the iterations of this map behave chaotically. A natural question is ho
 w large this set can be. One of ways to measure the size of such set is us
 ing Hausdorff (and other types of) dimension. In this talk I will present 
 two approaches for studying this quantity for certain classes of maps and 
 will describe computer assisted results obtained using these approaches. T
 he approaches are inspired by Avila-Lyubich's and McMullen's works. The re
 sults are from a joint paper with Scott Sutherland\, and a joint paper wit
 h Igors Gorbovickis and Warwick Tucker.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Artem Dudko: On Hausdorff dimension of Julia sets via a computer-as
 sisted proof
URL:https://talks-calendar.ista.ac.at/events/3896
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