Superposition of plane waves in high spatial dimensions: from landscape complexity to the deepest minimum value

Bertrand Lacroix-A-Chez-Toine, Yan V. Fyodorov

In this article, we introduce and analyse some statistical properties of a class of models of random landscapes of the form ${\cal H}({\bf x})=\fracμ{2}{\bf x}^2+\sum_{l=1}^M ϕ_l({…