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TZID:Europe/Vienna
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DTSTART:20190331T030000
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TZOFFSETTO:+0200
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20200124T115809Z
UID:1569247200@ist.ac.at
DTSTART:20190923T160000
DTEND:20190923T170000
DESCRIPTION:Speaker: Zeev Rudnick\nhosted by Timothy Browning\nAbstract: On
e of the outstanding insights in the field of "Quantum Chaos" is a conject
ural description of local statistics of the energy levels of simple quantu
m systems according to crude properties of the dynamics of classical limit
\, such as integrability\, where one expects Poisson statistics\, versus c
haotic dynamics\, where one expects Random Matrix Theory statistics. These
insights were obtained by physicists in the last quarter of the 20-th cen
tury. However\, mathematicians are far behind in understanding the scope a
nd validity of this theory. The first part of the lecture will be dedicate
d to an introduction to these conjectures. In the second part\, I will des
cribe more recent work on statistics of the minimal gap between the eigenv
alues for one such simple integrable system\, a rectangular billiard havin
g irrational squared aspect ratio. When the aspect ratio is the "golden ra
tio"\, the problem involves some curious and entertaining properties of th
e Fibonacci sequence.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, IST Austria
ORGANIZER:arinya.eller@ist.ac.at
SUMMARY:Quantum chaos\, eigenvalue statistics and the Fibonacci sequence
URL:https://talks-calendar.app.ist.ac.at/events/1137
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