In this work we study the stability of the equilibria reached by ecosystems formed by a large
number of species. The model we focus on are Lotka–Volterra equations with symmetric …

Autonomous, randomly coupled, neural networks display a transition to chaos at a critical
coupling strength. Here, we investigate the effect of a time-varying input on the onset of …

The unique organic π-conjugated network structure was synthesized in
trifluoromethanesulfonic acid at 155° C by self-polymerization of the …

In this work we present an ab initio study of structural, electronic, magnetic and hyperfine
properties of pristine Zn-ferrite (ZnFe 2 O 4, ZFO). Density Functional Theory calculations …

We construct and analyze a family of $ M $-component vectorial spin systems which exhibit
glass transitions and jamming within supercooled paramagnetic states without quenched …

Vector spin glasses are known to show two different kinds of phase transitions in the
presence of an external field: the so-called de Almeida–Thouless and Gabay–Toulouse …

This paper derives the Feynman rules for the diagrammatic perturbation expansion of the
effective action around an arbitrary solvable problem. The perturbation expansion around a …

Modern data analysis challenges require building complex statistical models with massive
numbers of parameters. It is nowadays commonplace to learn models with millions of …

In this paper, we extend the full replica symmetry breaking scheme to the Ising spin glass on
a random regular graph. We propose a new martingale approach, that overcomes the limits …

We discuss the replica analytic continuation using several simple models in order to prove
mathematically the validity of the replica analysis, which is used in a wide range of fields …