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SUMMARY:Jarek Duda (Jagiellonian University)
DTSTART:20200901T160000Z
DTEND:20200901T170000Z
DTSTAMP:20260423T011111Z
UID:QMFNoT/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMFNoT/15/">
 Maximal Entropy Random Walk: repairing diffusion-QM disagreement</a>\nby J
 arek Duda (Jagiellonian University) as part of QM Foundations & Nature of 
 Time seminar\n\n\nAbstract\nConsidering diffusion or chaos in [0\,1] range
  leads to uniform stationary probability distribution rho=1. In contrast\,
  QM predicts localized rho~sin^2 there. This disagreement is crucial e.g. 
 for semiconductors – standard diffusion would predict nearly uniform ele
 ctron distribution\, allowing them to flow – incorrectly expecting it to
  be a conductor. In contrast\, QM predicts strong e.g. Anderson localizati
 on preventing conductance.\n\nMaximal Entropy Random Walk (MERW) allows to
  understand and repair this disagreement - turns out that standard random 
 walk often only approximates the (Jaynes) principle of maximal entropy\, w
 hich is crucial for statistical physics models – MERW is the most random
  among random walk\, thanks of it leading to stationary probability distri
 bution exactly as quantum ground state – with localization property. In 
 contrast to standard random walk\, MERW is also scale-free\, time symmetri
 c and nonlocal. It also has many other applications (~160 citations).\n
LOCATION:https://researchseminars.org/talk/QMFNoT/15/
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