Extremes of locally stationary Gaussian and chi fields on manifolds

Wanli Qiao

Depending on a parameter $h\in (0,1]$, let $\{X_h(\mathbf{t})$, $\mathbf{t}\in {\mathcal{M}}_h\}$ be a class of centered Gaussian fields indexed by compact manifolds ${\mathcal{M}}_h$.…