2 citations · 2 across the 1 of their papers we have counts for
8 papers
A simplified Parisi Ansatz II: REM universality
Simone Franchini
In a previous work [A simplified Parisi Ansatz, Franchini, S., Commun. Theor. Phys., 73, 055601 (2021)] we introduced a simple method to compute the Random Overlap Structure of Aiz…
Large deviations for Generalized Polya Urns with non-binary increments
Simone Franchini
In this paper we show how to extend the Sample-Path Large Deviation Principle for the urn model of Hill, Lane and Sudderth to the case in which the increment of the urn is not a bi…
The Urn of Hill, Lane and Sudderth
Simone Franchini
We review some facts, properties and applications of the urn of Hill, Lane and Sudderth, a paradigmatic model of stochastic process with memory where the urn evolution is as follow…
P-adic numbers and kernels
Simone Franchini
We discuss the relation between p-adic numbers and kernels in view of a recent large deviation theory for mean-field spin glasses. As an application we show several fundamental pro…
Blanket representation for spin networks with n-body interactions
Simone Franchini
This paper extends the Blanket representation of [Universal scaling limits for spin networks via martingale methods, Franchini, S., Proc. R. Soc. A, 481 (2025)] from systems with t…
On the Pure States of the Replica Symmetry Breaking ansatz
Simone Franchini
We discuss the concept of Pure State of the Replica Symmetry Breaking ansatz in finite and infinite spin systems without averaging on the disorder, nor using replicas. Consider a s…