On critical points of Gaussian random fields under diffeomorphic transformations

Dan Cheng, Armin Schwartzman

Let $\{X(t),t\in M\}$ and $\{Z(t^{\prime }),t^{\prime }\in M^{\prime }\}$ be smooth Gaussian random fields parameterized on Riemannian manifolds $M$ and $M^{\prime }$, respectively, such that $X(t)=Z(f(t))$, wher…