Glassy landscapes.
Activated dynamics.
The high-d landscapes paradigm: spin-glasses, and beyond (Review paper)
with Y. V. Fyodorov
High-dimensional random landscapes: from typical to large deviations (Lecture notes)
link: see page on teaching
Distribution of rare saddles in the p-spin energy landscape
Dynamical Instantons and Activated Processes in Mean-Field Glass Models
with G. Biroli and C. Cammarota
Triplets of local minima in a high-dimensional random landscape:
correlations, clustering, and memoryless activated jumps
with A. Pacco and A. Rosso
Complexity of energy barriers in mean-field glassy systems
with G. Biroli and C. Cammarota
Curvature-driven pathways interpolating between stationary points:
the case of the pure spherical 3-spin model
with A. Pacco and G. Biroli
Link to the paper
High-d inference.
Random Matrices.
Machine Learning.
Complex energy landscapes in spiked-tensor and simple glassy models:
Ruggedness, arrangements of local minima, and phase transitions
with G.B. Arous, G. Biroli and C. Cammarota
Link to the paper
Overlaps between eigenvectors of spiked, correlated random matrices
with A. Pacco
Class imbalance in anomaly detection: learning from an exactly solvable model
with F.S. Pezzicoli, F.P. Landes and M. Baity-Jesi
Complex systems.
Non-reciprocity.
Fragile vs robust Multiple Equilibria phases
in generalized Lotka-Volterra model with non-reciprocal interactions
with T. Louis-Sarrola
Non-reciprocal interactions and high-dimensional chaos:
comparing dynamics and statistics of equilibria in a solvable model
with S. Fournier, A. Pacco and P. Urbani
Generalized Lotka-Volterra equations with random, non-reciprocal
interactions: the typical number of equilibria
with F. Roy, G. Biroli, G. Bunin and A. Turner
Quenched complexity of equilibria for asymmetric Generalized Lotka-Volterra equations
with F. Roy, G. Biroli and G. Bunin
Quantum localization & integrability.
Local integrals of motion in many‐body localized systems (Review paper)
with J.Z. Imbrie and A. Scardicchio
Integrals of motion in the many-body localized phase
with M. Müller and A. Scardicchio
Remanent magnetization: signature of Many-Body Localization
in quantum antiferromagnets
with M. Mueller
Quantum
localization & glassiness
Fluctuation driven transitions in localized insulators:
Intermittent metallicity and path chaos precede delocalization
with M. Mueller
Anderson transition on the Bethe lattice: an approach with real energies
with G. Parisi, S. Pascazio, F. Pietracaprina and A. Scardicchio
Localized systems coupled to small baths: From Anderson to Zeno
with D.A. Huse, R. Nandkishore, F. Pietracaprina and A. Scardicchio
Forward approximation as a mean-field approximation for the Anderson and many-body localization transitions
with F. Pietracaprina and A. Scardicchio