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UID:34f43c8130ca3cc9d99ae29d2ca7611f
CATEGORIES:Mathematical Physics Seminar
CREATED:20250325T123752
SUMMARY:Webinar: Herbert Spohn - Random matrix theory and integrable many-particle systems
LOCATION:zoom
DESCRIPTION:Herbert Spohn  –   Technical University Munich\n \nWednesday, April 16th , 
 10:45AM DST\n \nRandom matrix theory and integrable many-particle systems\n
  \nIn our context integrable systems are characterized by possessing a Lax 
 matrix. If the initial data are random, so is the Lax matrix. We will illus
 trate this structure for the Toda lattice, in which case the Lax matrix is 
 close to a GUE type random matrix , while for the Ablowitz-Ladik chain one 
 arrives at a CUE random matrix. For the Toda chain, much studied are locali
 zed deviations from a periodic background configuration. We will also discu
 ss the resulting random matrix structure.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="text-align: center;"><strong>Herbert Spohn&nbsp; –&nbsp; &nbsp;Te
 chnical University Munich</strong></p><p style="text-align: center;"><stron
 g>&nbsp;</strong></p><p style="text-align: center;"><strong>Wednesday,&nbsp
 ;April 16th ,&nbsp;10:45AM DST</strong></p><p style="text-align: center;"><
 strong>&nbsp;</strong></p><p style="text-align: center;"><strong>Random mat
 rix theory and integrable many-particle systems</strong></p><p style="text-
 align: center;"><strong>&nbsp;</strong></p><p>In our context integrable sys
 tems are characterized by possessing a Lax matrix. If the initial data are 
 random, so is the Lax matrix. We will illustrate this structure for the&nbs
 p;Toda lattice, in which case the Lax matrix is close to a GUE type random 
 matrix , while for the&nbsp;Ablowitz-Ladik chain one arrives at a CUE rando
 m matrix. For the Toda chain, much&nbsp;studied are localized deviations fr
 om a periodic background configuration. We will also discuss&nbsp;the resul
 ting random matrix structure.</p>
DTSTAMP:20260828T013837
DTSTART;TZID=America/New_York:20250416T104500
DTEND;TZID=America/New_York:20250416T120000
SEQUENCE:0
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