Multiple testing of local maxima for detection of peaks on the (celestial) sphere
We present a topological multiple testing scheme for detecting peaks on the
sphere under isotropic Gaussian noise, where tests are performed at local
maxima of the observed field filtered by the spherical needlet transform. Our
setting is different from the standard Euclidean/large same asymptotic
framework, yet highly relevant to realistic experimental circumstances for some
important areas of application in astronomy. More precisely, we focus on cases
where a single realization of a smooth isotropic Gaussian random field on the