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VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20210520T094650Z
DTSTART:20210524T140000Z
DTEND:20210524T150000Z
SUMMARY:Alexey Okunev - Dynamical Systems and Analysis Seminar Series
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}q48-kowpmd3
s-3d3rez
DESCRIPTION:Alexey Okunev will be speaking at this research seminar\, par
t of the Dynamical Systems and Analysis seminar series.\n\nTitle: Step s
kew products with circle or interval fibre\n \nAbstract: An iterated fun
ction system is a tuple of smooth maps (in this talk orientation-preserv
ing diffeomorphisms) from some manifold M to itself.\nThe dynamics of th
e semigroup generated by an IFS can be naturally encoded by one map\, a
skew product over Bernoulli shift with the fibre M.\nThe fibre maps of t
his skew product depend only on the zeroth element of the sequence in th
e base\, such skew products are called step skew products.\nAs the dynam
ics in the base is "hyperbolic"\, step skew products can be considered t
oy examples of partially hyperbolic dynamical systems.\nWe will discuss
the following phenomena exhibited by step skew products with one-dimensi
onal fibre:\n- bony attractors\n- non-hyperbolic ergodic measures\n- uni
versal dynamics\n- intermingled basins\n- thick attractors.\nThen we wil
l talk about the following result: generic step skew product with circle
fibre either is robustly transitive or has an absorbing domain (the bas
e times a finite disjoint union of intervals). In the second case the sk
ew product can be reduced to a skew product with interval fibre. \n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:G.113\, Alan Turing Building\, Manchester
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