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UID:2dd5c5bad38f00844fec54e3bda5439b
CATEGORIES:Colloquia
CREATED:20240327T113725
SUMMARY:Methods of random matrix theory for different regimes of eigenvalue distribution
LOCATION:Hill 705
DESCRIPTION:Mariya Shcherbina (Institute for Low Temperature Physics, Kharkiv and IAS)\
 n Title: Methods of random matrix theory for different regimes of eigenvalu
 e distribution\n\n Abstract: We consider a number of classical models of ra
 ndom matrices,such as Wigner model, Marchenko-Pastur model, band matrix mod
 el, Ginibre model, etc, and discuss the main problems of their eigenvalue s
 tatistics in two regimes: global and local. We discuss the  main methods wh
 ich are using in the field. Special  attention will be paid to the method o
 f super symmetric integration.
X-ALT-DESC;FMTTYPE=text/html:<div style="border: 0px; font-style: normal; font-weight: 400; font-size: 1
 6px; line-height: inherit; font-family: arial, helvetica, sans-serif; margi
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 ing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transfor
 m: none; widows: 2; word-spacing: 0px; white-space: normal; background-colo
 r: #ffffff;"><p><span style="border: 0px; font: inherit; margin: 0px; paddi
 ng: 0px; vertical-align: baseline;">Mariya&nbsp;</span><span style="border:
  0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">
 Shcherbina (</span><span style="border: 0px; font: inherit; margin: 0px; pa
 dding: 0px; vertical-align: baseline;">Institute for Low Temperature Physic
 s, </span><span style="border: 0px; font: inherit; margin: 0px; padding: 0p
 x; vertical-align: baseline; text-decoration: underline;">Kharkiv</span><sp
 an style="border: 0px; font: inherit; margin: 0px; padding: 0px; vertical-a
 lign: baseline;"> and </span><span style="border: 0px; font: inherit; margi
 n: 0px; padding: 0px; vertical-align: baseline;">IAS</span><span style="bor
 der: 0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baselin
 e; text-decoration: underline;">)</span></p></div><div style="border: 0px; 
 font-style: normal; font-weight: 400; font-size: 16px; line-height: inherit
 ; font-family: arial, helvetica, sans-serif; margin: 0px; padding: 0px; ver
 tical-align: baseline; color: #000000; letter-spacing: normal; orphans: 2; 
 text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-
 spacing: 0px; white-space: normal; background-color: #ffffff;">&nbsp;</div>
 <div style="border: 0px; font-style: normal; font-weight: 400; font-size: 1
 6px; line-height: inherit; font-family: arial, helvetica, sans-serif; margi
 n: 0px; padding: 0px; vertical-align: baseline; color: #000000; letter-spac
 ing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transfor
 m: none; widows: 2; word-spacing: 0px; white-space: normal; background-colo
 r: #ffffff;"><pre style="text-indent: 0px; margin: 0px;"><span style="borde
 r: 0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baseline;
 ">Title: Methods of random matrix theory for different regimes of eigenvalu
 e distribution<br><br></span></pre><pre style="text-indent: 0px; margin: 0p
 x;">&nbsp;</pre><pre style="text-indent: 0px; margin: 0px;"><span style="bo
 rder: 0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baseli
 ne;">Abstract: </span>We consider a number of classical models of random ma
 trices,</pre><pre style="text-indent: 0px; margin: 0px;"><span style="borde
 r: 0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baseline;
 ">such as </span><span style="border: 0px; font: inherit; margin: 0px; padd
 ing: 0px; vertical-align: baseline;">Wigner</span><span style="border: 0px;
  font: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"> mode
 l, </span><span style="border: 0px; font: inherit; margin: 0px; padding: 0p
 x; vertical-align: baseline;">Marchenko</span><span style="border: 0px; fon
 t: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">-</span><
 span style="border: 0px; font: inherit; margin: 0px; padding: 0px; vertical
 -align: baseline;">Pastur</span><span style="border: 0px; font: inherit; ma
 rgin: 0px; padding: 0px; vertical-align: baseline;"> model, band matrix mod
 el, </span><span style="border: 0px; font: inherit; margin: 0px; padding: 0
 px; vertical-align: baseline;">Ginibre</span><span style="border: 0px; font
 : inherit; margin: 0px; padding: 0px; vertical-align: baseline;"> model, </
 span><span style="border: 0px; font: inherit; margin: 0px; padding: 0px; ve
 rtical-align: baseline;">etc</span><span style="border: 0px; font: inherit;
  margin: 0px; padding: 0px; vertical-align: baseline;">, and discuss the ma
 in </span></pre><pre style="text-indent: 0px; margin: 0px;"><span style="bo
 rder: 0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baseli
 ne;">problems of their eigenvalue statistics in two regimes: global and loc
 al. We discuss the  main methods which </span></pre><pre style="text-indent
 : 0px; margin: 0px;"><span style="border: 0px; font: inherit; margin: 0px; 
 padding: 0px; vertical-align: baseline;">are using in the field. Special  a
 ttention will be paid to the method of super symmetric integration.</span><
 /pre></div>
CONTACT:Mariya Shcherbina
DTSTAMP:20260921T145917
DTSTART;TZID=America/New_York:20240403T153000
DTEND;TZID=America/New_York:20240403T163000
SEQUENCE:0
TRANSP:OPAQUE
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