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CATEGORIES:Cambridge Philosophical Society
SUMMARY:The Henslow Fellow Lectures - Use of random matric
es - Dr Stephanie Jacquot\, formerly of the Statis
tical Laboratory\, Centre for Mathematical Science
s
DTSTART;TZID=Europe/London:20140514T183000
DTEND;TZID=Europe/London:20140514T190000
UID:TALK51923AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/51923
DESCRIPTION:Random matrices (matrices with entries that are ra
ndom) were first introduced in order to solve real
physical systems. It all started in the 1950s wit
h Eugene Wigner in nuclear physics. He was studyin
g the energy of\nnuclei of some particles. The ene
rgy of these nuclei can take different values and
are solutions to a physical equation involving an
Hamiltonian\, which in essence contains the charac
teristics of the physical system (think of it as a
matrix of infinite size). But this Hamiltonian is
often unknown\, so it was not easy to obtain prop
erties about those energies. How are they distrib
uted\, for instance? The solution to the problem w
as to create a finite matrix whose structure captu
res the essence of the physical system. This made
it possible to study the system and find out about
the structure of those energies. In our talk we w
ill explain how we can find properties about those
energies from this matrix representation\, and as
k\, what is the chance of finding no energy at all
in a large interval?
LOCATION:Bristol-Myers-Squibb Lecture theatre\, Department
of Chemistry
CONTACT:Beverley Larner
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