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SUMMARY:Singular SDEs driven by fractional Brownian motion
DTSTART:20240123T130000
DTEND:20240123T140000
DTSTAMP:20260510T131913Z
UID:47c8083af27076f83e9b9cbb086695392ea7246af1e53f7c4c633db1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Lucio Galeati – EPFL   \nSeminar of Mathematics\nIt is we
 ll-known that ODEs with non-Lipschitz\, irregular (possibly even distribut
 ional) drifts can be well-posed in the presence of a driving Brownian moti
 on\, in a regularisation by noise fashion. A natural question is whether s
 imilar phenomena hold for possibly non-Markovian\, non-martingale noises\,
  like fractional Brownian motion (fBm)\; recently there has been a rejuven
 ated interest in this problem\, especially after the introduction of stoch
 astic sewing techniques by K. Lê.\nI will first present some personal con
 tributions in this topic\, providing a fairly complete solution theory for
  such SDEs for a suitable class of vector fields\; then I will move to som
 e ongoing projects\, concerning the solvability and propagation of chaos p
 roperties for McKean-Vlasov equations and pairwise interacting particle sy
 stems with singular kernels and driven by fBm.\nBased on joint works with 
 M. Gerencsér\, A. Mayorcas\, K. Lê and L. Anzeletti.\n 
LOCATION:https://epfl.zoom.us/j/66103048972
STATUS:CONFIRMED
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