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Title: Application of the second order Gaussian kinematic formula to CMB data analysis Authors:  Yabebal Fantaye - African Institute for Mathematical Sciences (South Africa) [presenting]
Domenico Marinucci - University of Rome Tor Vergata (Italy)
Abstract: Recent advances in mathematical literature have established an analytical result for the second order Gaussian kinematic formula. Using this result it is shown that the variance of Minkowski Functionals (MFs) becomes smaller when the higher order terms are subtracted out. We will show that under ideal setup, on full sky observation, second order subtracted MFs are very sensitive to small deviations from Gaussianity. All our results are validated by numerical experiments that show a good agreement between theoretical predictions and Monte Carlo simulations.