Le chaos multiplicatif gaussien
vendredi 4 avril 2014, 11h00 - 12h00
The mathematical theory of Gaussian multiplicative chaos was founded by J.
P. Kahane in 1985. This theory has numerous applications in mathematical
physics: 2d Liouville quantum gravity in the conformal gauge (boundary and
non boundary Liouville measure, KPZ equation), the Kolmogorov-Obukhov
model of energy dissipation in 3d turbulence, the maximum of
log-correlated fields, etc… In this talk, we will review the theory of
Kahane and discuss numerous extensions that have been developed the past
few years, in particular to the complex case. Special emphasis will be
made on applications which motivate these extensions. This is based on
joint works with B. Duplantier, H. Lacoin, T. Madaule, R. Rhodes, S.