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SUMMARY:Joseph Feneuil (Australian National University)
DTSTART:20201109T170000Z
DTEND:20201109T175000Z
DTSTAMP:20260423T010013Z
UID:anpdews/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/41/"
 >Uniform rectifiability implies $A_{\\infty}$-absolute continuity of the h
 armonic measure with respect to the Hausdorff measure in low dimension.</a
 >\nby Joseph Feneuil (Australian National University) as part of HA-GMT-PD
 E Seminar\n\n\nAbstract\nUnder mild conditions of topology on the domain $
 \\Omega\\subset\\mathbb R^n$\, the harmonic measure is $A_{\\infty}$-absol
 utely continuous with respect to the surface measure if and only if the bo
 undary ∂Ω is uniformly rectifiable of dimension n − 1.\n\nWe shall pr
 esent the state of the art around the above statement\, and then discuss t
 he strategy employed by Guy David\, Svitlana Mayboroda\, and the speaker t
 o extend this characterization of uniform rectifiability to sets of dimens
 ion d < n − 1.\n
LOCATION:https://researchseminars.org/talk/anpdews/41/
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