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SUMMARY:Boltzmann-Gibbs measures associated with log-correlated Gaussian f
 ields - Mo Dick Wong (University of Cambridge)
DTSTART:20180307T160000Z
DTEND:20180307T170000Z
UID:TALK102646@talks.cam.ac.uk
CONTACT:Ollie McEnteggart
DESCRIPTION:Boltzmann-Gibbs measures associated with log-correlated Gaussi
 an fields possess multifractal properties which are captured by the multif
 ractal exponents. While both the quenched and the annealed multifractal ex
 ponents exhibit a phase transition at low temperature known as freezing in
  the spin glass literature\, we show via a convexity argument that the lea
 ding-order term of the annealed exponent exhibits another phase transition
  at some intermediate temperature which may be explained by a partial loca
 lisation mechanism similar to freezing. If time permits we discuss a diffe
 rent approach to the problem which allows us to establish a further phase 
 transition in the second order.
LOCATION:MR14\, Centre for Mathematical Sciences
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