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 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20240414T211521Z
DTSTART:20240422T130000Z
DTEND:20240422T140000Z
SUMMARY:Dynamical Systems and Analysis Seminar - Faustin Adiceam
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}x2qf-ls09mx
 go-ucz4fc
DESCRIPTION:Speaker: Faustin Adiceam (Université Paris-Est Créteil)\n\nTi
 tle: Badly approximable vectors and putative counterexamples to the Litt
 lewood conjecture\n\nAbstract: Answering a question raised by Bugeaud\, 
 the talk will be concerned with the determination of the Hausdorff dimen
 sion of a natural set interpolating between the set of badly approximabl
 e vectors (which is known to have full dimension) and the set of putativ
 e counterexamples to the Littlewood conjecture (which is known to have z
 ero Hausdorff dimension). This is obtained by the construction of a so- 
  called generalised Cantor set based on the Ostrowski numeration system 
 induced by a badly approximable number.\n\nTime permitting\, a quantitat
 ive refinement of this result will be shown to provide an alternative to
  the multiplicative theory of badly approximable vectors (of which the L
 ittlewood conjecture is a particular case).\n\nThis is work in progress 
 with S. Seuret (UPEC).\n\nRoom: Frank Adams 1\n\nFurther information: ht
 tps://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_anal
 ysis
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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