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SUMMARY:Deformed matrix models: Growth Rates and KPZ Lower Tail Asymptotic
 s
DTSTART:20260402T120000Z
DTEND:20260402T130000Z
DTSTAMP:20260501T102100Z
UID:indico-event-5788@agenda.irmp.ucl.ac.be
DESCRIPTION:Speakers: Carla Mariana Da Silva Pinheiro (USP)\n\nThis study 
 investigates the multiplicative statistics of unitary random matrix ensemb
 les subjected to a parameter-dependent deformation of the underlying proba
 bility measure. While previous literature characterized these deformations
  in the context of bounded or decaying parameters\, the regime of growing 
 parameters remained open. In this work\, we bridge this gap by extending e
 xisting results to accommodate a parameter that grows at a controlled rate
  relative to the matrix size N.In particular\, we establish that under app
 ropriate scaling\, the underlying multiplicative statistics of the matrix 
 model converge to the ones of the lower tail of the Kardar-Parisi-Zhang (K
 PZ) equation. This connection provides a new perspective on the universali
 ty of the KPZ fluctuations within the framework of deformed unitary ensemb
 les. The seminar is based on the pre-print ArXiV: 2511.01120.\n\nhttps://a
 genda.irmp.ucl.ac.be/event/5788/
LOCATION:B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cy
 clotron\, 2\, Louvain-la-Neuve))
URL:https://agenda.irmp.ucl.ac.be/event/5788/
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