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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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214 papers · 1 filter
FKPP fronts in quenched random media
Ulysse Marquis, Henri Berestycki, Marc Barthelemy
We study numerically the evolution of one-dimensional FKPP fronts initiated from steep initial conditions in the presence of a quenched random growth rate. Compared to both the hom…
Non-reciprocal interactions and high-dimensional chaos: comparing dynamics and statistics of equilibria in a solvable class of models
Samantha J. Fournier, Alessandro Pacco, Valentina Ros +1
We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the…
Coexistence of asynchronous and clustered dynamics in noisy inhibitory neural networks
Yannick Feld, Alexander K. Hartmann, Alessandro Torcini
A regime of coexistence of asynchronous and clustered dynamics is analyzed for globally coupled homogeneous and heterogeneous inhibitory networks of quadratic integrate-and-fire (Q…
Antiferromagnetic order enhanced by local dissipation
Oscar Bouverot-Dupuis, Saptarshi Majumdar, Alberto Rosso +1
We study an XXZ spin chain at zero magnetization coupled to a collection of local harmonic baths at zero temperature. We map this system on a (1+1)D effective field theory using bo…
Localization induced by spatially uncorrelated subohmic baths in one dimension
Saptarshi Majumdar, Laura Foini, Thierry Giamarchi +1
We study an incommensurate XXZ spin chain coupled to a collection of local harmonic baths. At zero temperature, by varying the strength of the coupling to the bath the chain underg…
Statistical physics of learning in high-dimensional chaotic systems
Samantha J. Fournier, Pierfrancesco Urbani
In many complex systems, elementary units live in a chaotic environment and need to adapt their strategies to perform a task, by extracting information from the environment and con…
Quantum exploration of high-dimensional canyon landscapes
Pierfrancesco Urbani
Canyon landscapes in high dimension can be described as manifolds of small, but extensive dimension, immersed in a higher dimensional ambient space and characterized by a zero pote…
Bath induced phase transition in a Luttinger liquid
Saptarshi Majumdar, Laura Foini, Thierry Giamarchi +1
We study an XXZ spin chain, where each spin is coupled to an independent ohmic bath of harmonic oscillators at zero temperature. Using bosonization and numerical techniques, we sho…
A continuous constraint satisfaction problem for the rigidity transition in confluent tissues
Pierfrancesco Urbani
Models of confluent tissues are built out of tessellations of the space (both in two and three dimensions) in which the cost function is constructed in such a way that individual c…
Field theory for zero temperature soft anharmonic spin glasses in a field
Pierfrancesco Urbani
We introduce a finite dimensional anharmonic soft spin glass in a field and show how it allows the construction a field theory at zero temperature and the corresponding loop expans…
The effective noise of Stochastic Gradient Descent
Francesca Mignacco, Pierfrancesco Urbani
Stochastic Gradient Descent (SGD) is the workhorse algorithm of deep learning technology. At each step of the training phase, a mini batch of samples is drawn from the training dat…
Marginal stability of soft anharmonic mean field spin glasses
Giampaolo Folena, Pierfrancesco Urbani
We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model…
High dimensional optimization under non-convex excluded volume constraints
Antonio Sclocchi, Pierfrancesco Urbani
We consider high dimensional random optimization problems where the dynamical variables are subjected to non-convex excluded volume constraints. We focus on the case in which the c…
Stochasticity helps to navigate rough landscapes: comparing gradient-descent-based algorithms in the phase retrieval problem
Francesca Mignacco, Pierfrancesco Urbani, Lenka Zdeborová
In this paper we investigate how gradient-based algorithms such as gradient descent, (multi-pass) stochastic gradient descent, its persistent variant, and the Langevin algorithm na…
Mean-field methods and algorithmic perspectives for high-dimensional machine learning
Benjamin Aubin
The main difficulty that arises in the analysis of most machine learning algorithms is to handle, analytically and numerically, a large number of interacting random variables. In t…
Low-frequency vibrational spectrum of mean-field disordered systems
Eran Bouchbinder, Edan Lerner, Corrado Rainone +2
We study a recently introduced and exactly solvable mean-field model for the density of vibrational states of a structurally disordered system. The model is formul…
Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson Localization models
Cecile Monthus
For the 2D matrix Langevin dynamics that corresponds to the continuous-time limit of the product of some random matrices, the finite-time Lyapunov exponent can be writ…
Searching for the Gardner transition in glassy glycerol
Samuel Albert, Giulio Biroli, François Ladieu +2
We search for a Gardner transition in glassy glycerol, a standard molecular glass, measuring the third harmonics cubic susceptibility from slightly below the usual glas…
Surfing on minima of isostatic landscapes: avalanches and unjamming transition
Silvio Franz, Antonio Sclocchi, Pierfrancesco Urbani
Recently, we showed that optimization problems, both in infinite as well as in finite dimensions, for continuous variables and soft excluded volume constraints, can display entire…
Properties of equilibria and glassy phases of the random Lotka-Volterra model with demographic noise
Ada Altieri, Felix Roy, Chiara Cammarota +1
In this letter we study a reference model in theoretical ecology, the disordered Lotka-Volterra model for ecological communities, in the presence of finite demographic noise. Our t…
Recovery thresholds in the sparse planted matching problem
Guilhem Semerjian, Gabriele Sicuro, Lenka Zdeborová
We consider the statistical inference problem of recovering an unknown perfect matching, hidden in a weighted random graph, by exploiting the information arising from the use of tw…
Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
S. J. Thomson, M. Schiró
A number of experimental platforms for quantum simulations of disordered quantum matter, from dipolar systems to trapped ions, involve degrees of freedom which are coupled by power…
Creep motion of elastic interfaces driven in a disordered landscape
Ezequiel E. Ferrero, Laura Foini, Thierry Giamarchi +2
The thermally activated creep motion of an elastic interface weakly driven on a disordered landscape is one of the best examples of glassy universal dynamics. Its understanding has…
Properties of the simplest inhomogeneous and homogeneous Tree-Tensor-States for Long-Ranged Quantum Spin Chains with or without disorder
Cecile Monthus
The simplest Tree-Tensor-States (TTS) respecting the Parity and the Time-Reversal symmetries are studied in order to describe the ground states of Long-Ranged Quantum Spin Chains w…