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BEGIN:VEVENT
DTSTAMP:20260505T094333Z
DTSTART:20260513T140000Z
DTEND:20260513T150000Z
SUMMARY:Probability Seminar: Avi Mayorcas - Convergence and Fluctuations 
 of Singular Interacting Particle Systems with Non-Markov Noise
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}v25q-mosfxv
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DESCRIPTION:Avi Mayorcas (University of Bath) will speak at the Probabili
 ty seminar.\n\nTitle: Convergence and Fluctuations of Singular Interacti
 ng Particle Systems with Non-Markov Noise\n\nAbstract: \n\nSystems of in
 teracting particles are ubiquitous in physics\, biology\, chemistry\, co
 mputer science and the social sciences. In many applications\, the desir
 ed interaction potential is a highly singular function or distribution\,
  making well-posedness\, mean field convergence\, and precise fluctuatio
 ns challenging to obtain. A particularly relevant example are point vort
 ex models of fluids where both singular interactions and non-Gaussian co
 rrelations are practically relevant. In this talk I will present recent 
 results\, obtained with L. Galeati and K. Lê as well as ongoing work wit
 h J. Weinberger\, on interacting particle systems driven by i.i.d. fract
 ional Brownian motions (fBm)\, subject to irregular\, possibly distribut
 ional\, pairwise interactions. We show quantitative propagation of chaos
  and Gaussian fluctuations for these systems\, where the singularity of 
 the interaction may be chosen arbitrarily severe provided the noise fluc
 tuates sufficiently fast (in a sense to be made formal). Our proofs rely
  on a combination of Sznitman’s direct comparison argument with stochast
 ic sewing techniques and U-statistics. Time permitting I will also prese
 nt complimentary results on multiplicative equations driven by fBm with 
 singular volatitlity and ergodic theory for fBm driven coercive SDEs wit
 h singular drift.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 2\, Alan Turing Building\, Manchester
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