3 citations · 3 across the 2 of their papers we have counts for
6 papers
On a set of numbers arising in the dynamics of unimodal maps
Stefano Isola
In this paper we initiate the study of the arithmetical properties of a set numbers which encode the dynamics of unimodal maps in a universal way along with that of the correspondi…
A one-parameter family of analytic Markov maps with an intermittency transition
Manuela Giampieri, Stefano Isola
In this paper we introduce and study a one-parameter family of piecewise analytic interval maps having the tent map and the Farey map as extrema. Among other things, we construct a…
On systems with finite ergodic degree
Stefano Isola
In this paper we study the ergodic theory of a class of symbolic dynamical systems where the left shift transformation on and i…
On the rate of convergence to equilibrium for countable ergodic Markov chains
Stefano Isola
Using elementary methods, we prove that for a countable Markov chain of ergodic degree the rate of convergence towards the stationary distribution is subgeometric of or…
Mean field behaviour of spin systems with orthogonal interaction matrix
Pierluigi Contucci, Sandro Graffi, Stefano Isola
For the long-range deterministic spin models with glassy behaviour of Marinari, Parisi and Ritort we prove weighted factorization properties of the correlation functions which repr…
Statistics of energy levels and zero temperature dynamics for deterministic spin models with glassy behaviour
M. Degli Esposti, C. Giardina', S. Graffi +1
We consider the zero-temperature dynamics for the infinite-range, non translation invariant one-dimensional spin model introduced by Marinari, Parisi and Ritort to generate glassy…