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UID:7884607d275c92ff984f8336412a37d5
CATEGORIES:Number Theory Seminar
CREATED:20220221T101508
SUMMARY:The Robin problem on rectangles
LOCATION:Zoom
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>This talk is based on a joint work with 
 Zeev Rudnick. We study the statistics and the arithmetic properties of the 
 Robin spectrum of a rectangle. A number of results are obtained for the mul
 tiplicities in the spectrum, depending on the Diophantine nature of the asp
 ect ratio. In particular, it is shown that for the square, unlike the case 
 of Neumann eigenvalues where there are unbounded multiplicities of arithmet
 ic origin, there are no multiplicities in the Robin spectrum for sufficient
 ly small (but nonzero) Robin parameter except a systematic symmetry. In add
 ition, we show that the pair correlation function of the Robin spectrum on 
 a Diophantine rectangle is Poissonian.</p>
CONTACT:Igor Wigman (Kings College London)
X-EXTRAINFO:For zoom information, please email RegularLabs.EmailProtector.unCloak("ep_6
 316f8bf");.
DTSTAMP:20260827T103136
DTSTART;TZID=America/New_York:20220222T140000
DTEND;TZID=America/New_York:20220222T150000
SEQUENCE:0
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