gaussian-singularities

Expected length of singular contours of Gaussian random maps.

Mathematica notebooks accompanying the paper Singularities of Gaussian random maps into the plane.

Critical curves of Gaussian random bandlimited functions on the 2-torus with bandwidth 4,8,16,32.

Files

• random_bandlimited_functions.nb: Experimental computation of the expected length of singular contours of random bandlimited functions on the flat torus.
• random_torus_projections.nb: Theoertical computation of the expected length of singular contours of random linear projections of the standard embedding of a torus.