Critical sets of random smooth functions on compact manifolds
Critical sets of random smooth functions on compact manifolds
Given a compact, connected Riemann manifold without boundary (M, g) of dimension m and a large positive constant L we denote byUL the subspace of Cā(M) spanned by eigenfunctions of the Laplacian corresponding to eigenvaluesā¤ L. We equipUL with the standard Gaussian probability measure induced by the L-metric onUL, and ā¦