107 citations · 338 across the 13 of their papers we have counts for
11 papers · 1 filter
An Introduction to the Theory of Spin Glasses
Ada Altieri, Marco Baity-Jesi
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 method,…
Glassy features and complex dynamics in ecological systems
Ada Altieri
In this report, I will review some of the most used models in theoretical ecology along with appealing reformulations and recent results in terms of diversity, stability, and funct…
Well-mixed Lotka-Volterra model with random strongly competitive interactions
Giulia Garcia Lorenzana, Ada Altieri
The random Lotka-Volterra model is widely used to describe the dynamical and thermodynamic features of ecological communities. In this work, we consider random symmetric interactio…
Effects of intraspecific cooperative interactions in large ecosystems
Ada Altieri, Giulio Biroli
We analyze the role of the Allee effect, a positive correlation between population density and mean individual fitness, for ecological communities formed by a large number of speci…
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…
Dynamical Mean-Field Theory and Aging Dynamics
Ada Altieri, Giulio Biroli, Chiara Cammarota
Dynamical Mean-Field Theory (DMFT) replaces the many-body dynamical problem with one for a single degree of freedom in a thermal bath whose features are determined self-consistentl…
Constraint satisfaction mechanisms for marginal stability and criticality in large ecosystems
Ada Altieri, Silvio Franz
We discuss a resource-competition model, which takes the MacArthur's model as a platform, to unveil interesting connections with glassy features and jamming in high dimension. This…
Higher order corrections to the effective potential close to the jamming transition in the perceptron model
Ada Altieri
We analyze the perceptron model performing a Plefka-like expansion of the free energy. This model falls in the same universality class as hard spheres near jamming, allowing to get…
Loop expansion around the Bethe approximation through the -layer construction
Ada Altieri, Maria Chiara Angelini, Carlo Lucibello +3
For every physical model defined on a generic graph or factor graph, the Bethe -layer construction allows building a different model for which the Bethe approximation is exact i…
The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential
Ada Altieri, Silvio Franz, Giorgio Parisi
We present a parallel derivation of the Thouless-Anderson-Palmer (TAP) equations and of an effective potential for the negative perceptron and soft sphere models in high dimension.…
Composite operators in Cubic Field Theories and Link Overlap Fluctuations in Spin-Glass Models
Ada Altieri, Giorgio Parisi, Tommaso Rizzo
We present a complete characterization of the fluctuations and correlations of the squared overlap in the Edwards-Anderson Spin-Glass model in zero field. The analysis reveals that…