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Towards a robust criterion of anomalous diffusion
Vittoria Sposini, Diego Krapf, Enzo Marinari +8
Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex…
Memory and rejuvenation in spin glasses: aging systems are ruled by more than one length scale
Janus Collaboration, M. Baity-Jesi, E. Calore +22
Memory and rejuvenation effects in the magnetic response of off-equilibrium spin glasses have been widely regarded as the doorway into the experimental exploration of ultrametricit…
On the superposition principle and non-linear response in spin glasses
I. Paga, Q. Zhai, M. Baity-Jesi +25
The extended principle of superposition has been a touchstone of spin glass dynamics for almost thirty years. The Uppsala group has demonstrated its validity for the metallic spin…
Noise-to-signal ratio of single-trajectory spectral densities in centered Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We discuss the statistical properties of a single-trajectory power spectral density of an arbitrary real-valued centered Gaussian process , where is th…
Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We investigate the stochastic behavior of the single-trajectory spectral density of several Gaussian stochastic processes, i.e., Brownian motion, the Ornstein-Uh…
Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
S. Cerasoli, S. Ciliberto, E. Marinari +3
The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of…
Supervised perceptron learning vs unsupervised Hebbian unlearning: Approaching optimal memory retrieval in Hopfield-like networks
Marco Benedetti, Enrico Ventura, Enzo Marinari +2
The Hebbian unlearning algorithm, i.e. an unsupervised local procedure used to improve the retrieval properties in Hopfield-like neural networks, is numerically compared to a super…