57 citations · 255 across the 19 of their papers we have counts for
20 papers
Typical number and stability of equilibria in large non-reciprocal complex systems
Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal, Valentina Ros
We consider a prototypical class of dynamics of degrees of freedom subject to two competing terms, one favoring relaxation to a trivial equilibrium and one taking the form…
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…
Superposition of Random Plane Waves in High Spatial Dimensions: Random Matrix Approach to Landscape Complexity
Bertrand Lacroix-A-Chez-Toine, Sirio Belga Fedeli, Yan V. Fyodorov
Motivated by current interest in understanding statistical properties of random landscapes in high-dimensional spaces, we consider a model of the landscape in obtain…
Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates
Bertrand Lacroix-A-Chez-Toine, Yan V Fyodorov
We consider a nonlinear autonomous random dynamical system of degrees of freedom coupled by Gaussian random interactions and characterized by a continuous spectrum of…
Spectral Analysis of Current Fluctuations in Periodically Driven Stochastic Systems
Bertrand Lacroix-A-Chez-Toine, Oren Raz
Current fluctuations play an important role in non-equilibrium statistical mechanics, and are a key object of interest in both theoretical studies and in practical applications. So…
Universal survival probability for a correlated random walk and applications to records
Bertrand Lacroix-A-Chez-Toine, Francesco Mori
We consider a model of space-continuous one-dimensional random walk with simple correlation between the steps: the probability that two consecutive steps have same sign is with…
Extreme value statistics for branching run-and-tumble particles
Bertrand Lacroix-A-Chez-Toine, Asaf Miron
The extreme value statistics of active matter offer significant insight into their unique properties. A phase transition has recently been reported in a model of branching run-and-…
PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"
Bertrand Lacroix-A-Chez-Toine
In this thesis, we study three physically relevant models of strongly correlated random variables: trapped fermions, random matrices and random walks. In the first part, we show se…
Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensemble
Bertrand Lacroix-A-Chez-Toine, Jeyson Andres Monroy Garzon, Christopher Sebastian Hidalgo Calva +4
We study the Ginibre ensemble of complex random matrices and compute exactly, for any finite , the full distribution as well as all the cumulants of the number $N_r…
Distribution of Brownian coincidences
Alexandre Krajenbrink, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal
We study the probability distribution, , of the coincidence time , i.e. the total local time of all pairwise coincidences of independent Brownian walkers. We conside…
Gap statistics close to the quantile of a random walk
Bertrand Lacroix-A-Chez-Toine, Satya N. Majumdar, Grégory Schehr
We consider a random walk of steps starting at with a double exponential (Laplace) jump distribution. We compute exactly the distribution of the gap $d_{k,…
Entanglement Entropy and Full Counting Statistics for -Rotating Trapped Fermions
Bertrand Lacroix-A-Chez-Toine, Satya N. Majumdar, Gregory Schehr
We consider non-interacting fermions in a harmonic potential of trapping frequency and in a rotating frame at angular frequency , with . At zero temper…
Non-interacting fermions in hard-edge potentials
Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal, Satya N. Majumdar +1
We consider the spatial quantum and thermal fluctuations of non-interacting Fermi gases of particles confined in -dimensional non-smooth potentials. We first present a thoro…
Extremes of Coulomb gas: universal intermediate deviation regime
Bertrand Lacroix-A-Chez-Toine, Aurélien Grabsch, Satya N. Majumdar +1
In this paper, we study the extreme statistics in the complex Ginibre ensemble of random matrices with complex Gaussian entries, but with no other symmetries. All the…
Statistics of fermions in a -dimensional box near a hard wall
Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal, Satya N. Majumdar +1
We study noninteracting fermions in a domain bounded by a hard wall potential in dimensions. We show that for large , the correlations at the edge of the Fermi ga…