Triangle Seminars
Monday, 15 Dec 2008
Virasoro constraints and decomposition formulas in matrix models
Alexander Alexandrov
(Imperial)
Tuesday, 16 Dec 2008
Tuck's incompressibility function: statistics for zeta zeros and eigenvalues
Michael Berry
(Bristol)
Abstract:
Tuck devised a function Q(x), associated with a function D(x), whose positivity guarantees the absence of complex zeros of D(x) close to the real x axis, and observed that large values of Q are very rare if D is associated with the Riemann zeros. In an unusual and challenging application of random-matrix theory with P Shukla, this is explained by studying the probability distribution P(Q) for functions D with N zeros corresponding to eigenvalues of the Gaussian unitary ensemble (GUE).
Tuck devised a function Q(x), associated with a function D(x), whose positivity guarantees the absence of complex zeros of D(x) close to the real x axis, and observed that large values of Q are very rare if D is associated with the Riemann zeros. In an unusual and challenging application of random-matrix theory with P Shukla, this is explained by studying the probability distribution P(Q) for functions D with N zeros corresponding to eigenvalues of the Gaussian unitary ensemble (GUE).
Posted by: brunel