6 papers
Initial conditions, Discreteness and non-linear structure formation in cosmology
Francesco Sylos Labini, Thierry Baertschiger, Andrea Gabrielli +1
In this lecture we address three different but related aspects of the initial continuous fluctuation field in standard cosmological models. Firstly we discuss the properties of the…
A perturbative approach to the Bak and Sneppen Model
G. Caldarelli, M. Felici, A. Gabrielli +1
We study here the Bak and Sneppen model, a prototype model for the study of Self-Organized Criticality. In this model several species interact and undergo extinction with a power l…
Correlation and clustering
Francesco Sylos Labini, Andrea Gabrielli
In this lecture we clarify the basic difference between the correlation properties for systems characterized by small or large fluctuations. The concepts of correlation length, hom…
Damaging and Cracks in Thin Mud Layers
Raffaele Cafiero, Guido Caldarelli, Andrea Gabrielli
We present a detailed study of a two-dimensional minimal lattice model for the description of mud cracking in the limit of extremely thin layers. In this model each bond of the lat…
Persistent fluctuations and scaling properties in galaxy number counts
Francesco Sylos Labini, Andrea Gabrielli
Counts of galaxies as a function of apparent magnitude are among the most time-honored observations in cosmology. In this Letter, we focus on some statistical properties of these c…
Fractal Growth with Quenched Disorder
L. Pietronero, R. Cafiero, A. Gabrielli
In this lecture we present an overview of the physics of irreversible fractal growth process, with particular emphasis on a class of models characterized by {\em quenched disorder}…