  We present a weak lensing mass map covering ~124 square degrees of the
Canada-France-Hawaii Telescope Stripe 82 Survey (CS82). We study the statistics
of rare peaks in the map, including peak abundance, the peak-peak correlation
functions and the tangential-shear profiles around peaks. We find that the
abundance of peaks detected in CS82 is consistent with predictions from a
Lambda-CDM cosmological model, once noise effects are properly included. The
correlation functions of peaks with different signal-to-noise ratio (SNR) are
well described by power laws, and there is a clear cross-correlation between
the Sloan Digital Sky Survey III/Constant Mass galaxies and high SNR peaks. The
tangential-shear profiles around peaks increase with peak SNR. We fit
analytical models to the tangential-shear profiles, including a projected
singular isothermal sphere (SIS) model and a projected Navarro, Frenk & White
(NFW) model, plus a two-halo term. For the high SNR peaks, the SIS model is
rejected at ~3-sigma. The NFW model plus a two-halo term gives more acceptable
fits to the data. Some peaks match the positions of optically detected
clusters, while others are relatively dark. Comparing dark and matched peaks,
we find a difference in lensing signal of a factor of 2, suggesting that about
half of the dark peaks are false detections.
