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BEGIN:VEVENT
DTSTAMP:20260701T013227Z
DTSTART;VALUE=DATE-TIME:20090625T130000
DTEND;VALUE=DATE-TIME:20090625T140000
SUMMARY:Dr. Pragya Shukla (Indian Institute of Technology\, Kharagpur\, I
 ndia and ICTP\, Trieste)
TZID:Europe/London
UID:20090625-094d43f621c420b90121cfeb177d1796@warwick.ac.uk
CREATED:20090611T152359Z
DESCRIPTION:Universality in Complexity: A Generalized Random Matrix Appro
 ach Physical systems can be complicated. Lack of detailed knowledge of t
 heir interactions can be represented by randomness in generators of the 
 dynamics. In waves (quantum\, electromagnetic\, etc.) the associated ope
 rators can be modelled by random matrices. The choice of a suitable rand
 om-matrix model is sensitive to the nature of the complexity. The statis
 tical analysis therefore requires exploration of a wide range of random-
 matrix ensembles\, with the aim of identifying and analyzing common math
 ematical structures among their statistics. Our search leads to to a com
 mon framework: single-parametric Brownian ensembles. This common mathema
 tical framework suggests an analogous formulation for physical propertie
 s\, and their classification into universality classes defined by the si
 ngle (complexity) parameter. The analogy helps to reveal many important 
 features of the level statistics in interacting systems e.g. a critical 
 point different from that of non-interacting systems\, the possibility o
 f extended states even in one dimension. This further suggests a deep-ro
 oted universality hidden underneath the world of complex systems.
LOCATION:PS128
CATEGORIES:Theory Seminar
LAST-MODIFIED:20090611T152359Z
ORGANIZER;CN="":
END:VEVENT
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