We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

The study of spin-glass dynamics, long considered the paradigmatic complex system, has
reached important milestones. The availability of high-quality single crystals has allowed the …

The spin-glass transition in a field in finite dimension is analyzed directly at zero temperature
using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is …

We study numerically Anderson localization on lattices that are tree-like except for the
presence of one loop of varying length L. The resulting expressions allow us to compute …

Results regarding spin glass models are, to this day, mainly confined to models with discrete
(usually Ising) spins. Spin glass models with continuous spins exhibit interesting new …

We review the main methods used to study spin glasses. In the first part, we focus on
methods for fully connected models and systems defined on a tree, such as the replica …

We introduce a supercooled liquid model and obtain parameter-free quantitative predictions
that are in excellent agreement with numerical simulations, notably in the hard low …

In statistical physics, one of the standard methods to study second order phase transitions is
the renormalization group that usually leads to an expansion around the corresponding fully …

We analyse the equilibrium behaviour and non-equilibrium dynamics of sparse Boolean
networks with self-interactions that evolve according to synchronous Glauber dynamics …

Bootstrap, or k-core, percolation displays on the Bethe lattice a mixed first-and second-order
phase transition with both a discontinuous order parameter and diverging critical …