TY - JOUR
T1 - Fluctuations of the total number of critical points of random spherical harmonics
AU - Wigman, Igor
AU - Cammarota, Valentina
PY - 2017/3/23
Y1 - 2017/3/23
N2 - We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implications on the sophistication degree of an appropriate percolation process for modelling nodal domains of eigenfunctions on generic compact surfaces or billiards.
AB - We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implications on the sophistication degree of an appropriate percolation process for modelling nodal domains of eigenfunctions on generic compact surfaces or billiards.
U2 - 10.1016/j.spa.2017.02.013
DO - 10.1016/j.spa.2017.02.013
M3 - Article
SN - 0304-4149
JO - Stochastic Processes and Their Applications
JF - Stochastic Processes and Their Applications
ER -