Extrema of locally stationary Gaussian fields on growing manifolds

Wanli Qiao, Wolfgang Polonik

We consider a class of non-homogeneous, continuous, centered Gaussian random fields $\{X_h(t),t\in {\mathcal{M}}_h;0<h\le 1\}$ where ${\mathcal{M}}_h$ denotes a rescaled smooth manifo…