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10 papers · 2 filters
Impact of jamming criticality on low-temperature anomalies in structural glasses
Silvio Franz, Thibaud Maimbourg, Giorgio Parisi +1
We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same…
New analysis of the free energy cost of interfaces in spin glasses
Valerio Astuti, Silvio Franz, Giorgio Parisi
In this work we want to enhance the calculation performed by Franz, Parisi and Virasoro (FPV) to estimate the free energy cost of interfaces in spin glasses and evaluate the lower…
On the number of limit cycles in asymmetric neural networks
Sungmin Hwang, Viola Folli, Enrico Lanza +3
The comprehension of the mechanisms at the basis of the functioning of complexly interconnected networks represents one of the main goals of neuroscience. In this work, we investig…
Jamming in multilayer supervised learning models
Silvio Franz, Sungmin Hwang, Pierfrancesco Urbani
Critical jamming transitions are characterized by an astonishing degree of universality. Analytic and numerical evidence points to the existence of a large universality class that…
Ground state energy of noninteracting fermions with a random energy spectrum
Hendrik Schawe, Alexander K. Hartmann, Satya N. Majumdar +1
We derive analytically the full distribution of the ground-state energy of non-interacting fermions in a disordered environment, modelled by a Hamiltonian whose spectrum consis…
One-dimensional quasicrystals with power-law hopping
X. Deng, S. Ray, S. Sinha +2
One-dimensional quasi-periodic systems with power-law hopping, , differ from both the standard Aubry-Azbel-Harper (AAH) model and from power-law systems with uncorrelated di…