8 papers
Nucleation beyond Equilibrium: Fronts Control Invasion in Bistable Ecosystems
Victor Lequin, Giulio Biroli, Camille Scalliet
Bistability, the existence of two alternative stable states with distinct basins of attraction, is common across ecology and many other biological, chemical, and physical systems.…
Inertial Asynchronous Computation
Doruk Efe Gökmen, Michel Fruchart, Dmitrii Zendrikov +3
Computation is the controlled evolution of a state. Asynchronous evolutions, where all parts of the state change in their own time without stopping each other, put this control in…
High-Dimensional Analysis of Gradient Flow for Extensive-Width Quadratic Neural Networks
Simon Martin, Giulio Biroli, Francis Bach
We study the high-dimensional training dynamics of a shallow neural network with quadratic activation in a teacher-student setup. We focus on the extensive-width regime, where the…
On the anomalous elasticity in the mechanical response of amorphous solids
Gilles Tarjus, Misaki Ozawa, Giulio Biroli
The response of amorphous solids to a mechanical perturbation consists in an elastic and a plastic deformation. The latter is mediated by localized irreversible rearrangements asso…
Nonreciprocal Spin-Glass Transition and Aging
Giulia Garcia Lorenzana, Ada Altieri, Giulio Biroli +2
Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this…
When is nonreciprocity relevant?
Giulia Garcia Lorenzana, David Martin, Yael Avni +4
Nonreciprocal interactions are widely observed in nonequilibrium systems, from biological or sociological dynamics to open quantum systems. Despite the ubiquity of nonreciprocity,…