21 citations · 56 across the 12 of their papers we have counts for
19 papers
Parametric correlations in non-Hermitian quantum chaos: random matrix approach
Yan V. Fyodorov, Bertrand Lacroix-A-Chez-Toine
Motivated by the surge of interest in statistics of non-Hermitian random matrices as a framework for description of universal characteristics of dissipative chaotic quantum many-bo…
One-sided large deviations for the ground-state energy of spin glasses
Hong-Bin Chen, Alice Guionnet, Justin Ko +2
We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins. Thanks to the relatively explicit description of the rate function w…
Ground state energy fluctuations of pinned elastic manifolds
Yan V. Fyodorov, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal
We describe the atypical fluctuations of the ground state energy of the random elastic manifold, a disordered model defined on a lattice of linear size with internal dimension…
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({…
Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass
Bertrand Lacroix-A-Chez-Toine, Yan V. Fyodorov, Pierre Le Doussal
We derive, within the replica formalism, a generalisation of the Crisanti-Sommers formula to describe the large deviation function (LDF) for the speed- atypical fl…
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…