For elastic manifolds in high-dimensional random landscapes, the annealed complexity of stationary points and of minima is derived explicitly; both vanish at the Larkin mass, with quadratic and cubic scaling, and a depinning bound follows.
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Manifolds in high dimensional random landscape: complexity of stationary points and depinning
For elastic manifolds in high-dimensional random landscapes, the annealed complexity of stationary points and of minima is derived explicitly; both vanish at the Larkin mass, with quadratic and cubic scaling, and a depinning bound follows.