522 citations · 1.1k across the 12 of their papers we have counts for
12 papers
Quenched complexity of equilibria for asymmetric Generalized Lotka-Volterra equations
Valentina Ros, Felix Roy, Giulio Biroli +1
We consider the Generalized Lotka-Volterra system of equations with all-to-all, random asymmetric interactions describing high-dimensional, very diverse and well-mixed ecosystems.…
Overlaps between eigenvectors of spiked, correlated random matrices: from matrix PCA to random Gaussian landscapes
Alessandro Pacco, Valentina Ros
We consider pairs of GOE (Gaussian Orthogonal Ensemble) matrices which are correlated with each others, and subject to additive and multiplicative rank-one perturbations. We focus…
Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
Valentina Ros, Felix Roy, Giulio Biroli +2
We compute the typical number of equilibria of the Generalized Lotka-Volterra equations describing species-rich ecosystems with random, non-reciprocal interactions using the replic…
The high-d landscapes paradigm: spin-glasses, and beyond
Valentina Ros, Yan V. Fyodorov
We review recent developments on the characterization of random landscapes in high-dimension. We focus in particular on the problem of characterizing the landscape topology and geo…
Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization
Valentina Ros, Markus Müller
We study how interacting localized degrees of freedom are affected by slow thermal fluctuations that change the effective local disorder. We compute the time-averaged (annealed) co…
Distribution of rare saddles in the -spin energy landscape
Valentina Ros
We compute the statistical distribution of index-1 saddles surrounding a given local minimum of the -spin energy landscape, as a function of their distance to the minimum in con…
Anderson transition on the Bethe lattice: an approach with real energies
Giorgio Parisi, Saverio Pascazio, Francesca Pietracaprina +2
We study the Anderson model on the Bethe lattice by working directly with propagators at real energies . We introduce a novel criterion for the localization-delocalization trans…
Complex energy landscapes in spiked-tensor and simple glassy models: ruggedness, arrangements of local minima and phase transitions
Valentina Ros, Gerard Ben Arous, Giulio Biroli +1
We study rough high-dimensional landscapes in which an increasingly stronger preference for a given configuration emerges. Such energy landscapes arise in glass physics and inferen…
Review: Local Integrals of Motion in Many-Body Localized systems
J. Z. Imbrie, V. Ros, A. Scardicchio
We review the current (as of Fall 2016) status of the studies on the emergent integrability in many-body localized models. We start by explaining how the phenomenology of fully man…
Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnets
V. Ros, M. Mueller
We study the remanent magnetization in antiferromagnetic, many-body localized quantum spin chains, initialized in a fully magnetized state. Its long time limit is an order paramete…
The forward approximation as a mean field approximation for the Anderson and Many Body Localization transitions
Francesca Pietracaprina, Valentina Ros, Antonello Scardicchio
In this paper we analyze the predictions of the forward approximation in some models which exhibit an Anderson (single-) or many-body localized phase. This approximation, which con…
Integrals of motion in the Many-Body localized phase
V. Ros, M. Mueller, A. Scardicchio
We construct a complete set of quasi-local integrals of motion for the many-body localized phase of interacting fermions in a disordered potential. The integrals of motion can be c…