57 citations · 255 across the 19 of their papers we have counts for
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cond-mat.dis-nn2024★ 1 cited
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({…
cond-mat.dis-nn2022★ 5 cited
On-Site Potential Creates Complexity in Systems with Disordered Coupling
Igor Gershenzon, Bertrand Lacroix-A-Chez-Toine, Oren Raz +2
We calculate the average number of critical points of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site p…