184 citations · 781 across the 36 of their papers we have counts for
17 papers · 1 filter
Overlap Interfaces in Hierarchical Spin-Glass models
Silvio Franz, T Jorg, Giorgio Parisi
We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in ext…
On the most compact regular lattice in large dimensions: A statistical mechanical approach
Giorgio Parisi
In this paper I will approach the computation of the maximum density of regular lattices in large dimensions using a statistical mechanics approach. The starting point will be some…
On the high density behavior of Hamming codes with fixed minimum distance
G. Parisi, F. Zamponi
We discuss the high density behavior of a system of hard spheres of diameter d on the hypercubic lattice of dimension n, in the limit n -> oo, d -> oo, d/n=delta. The problem is re…
Amorphous packings of hard spheres in large space dimension
G. Parisi, F. Zamponi
In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An approximate equ…
Euclidean random matrices: solved and open problems
Giorgio Parisi
In this paper I will describe some results that have been recently obtained in the study of random Euclidean matrices, i.e. matrices that are functions of random points in Euclidea…
Complexity and intelligence
Giorgio Parisi
In this paper I will discuss the properties of the Algorithmic Complexity, presenting the most relevant properties. The related concept of logical depth is also introduced. These p…