56 citations · 164 across the 18 of their papers we have counts for
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math.PR2022★ 1 cited
Hessian spectrum at the global minimum and topology trivialization of locally isotropic Gaussian random fields
Hao Xu, Qiang Zeng
We study the energy landscape near the ground state of a model of a single particle in a random potential with trivial topology. More precisely, we find the large dimensional limit…
math.PR2022★ 7 cited
Complexity of Gaussian random fields with isotropic increments: critical points with given indices
Antonio Auffinger, Qiang Zeng
We study the landscape complexity of the Hamiltonian where is a smooth Gaussian process with isotropic increments on . This mode…