47 citations · 62 across the 14 of their papers we have counts for
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A general framework for the rigorous computation of invariant densities and the coarse-fine strategy
Stefano Galatolo, Maurizio Monge, Isaia Nisoli +1
In this paper we present a general, axiomatical framework for the rigorous approximation of invariant densities and other important statistical features of dynamics. We approximate…
Cramér distance and discretizations of circle expanding maps II: simulations
Pierre-Antoine Guihéneuf, Maurizio Monge
This paper presents some numerical experiments in relation with the theoretical study of the ergodic short-term behaviour of discretizations of expanding maps done in arXiv:2206.07…
Cramér distance and discretizations of circle expanding maps I: theory
Pierre-Antoine Guihéneuf, Maurizio Monge
This paper is aimed to study the ergodic short-term behaviour of discretizations of circle expanding maps. More precisely, we prove some asymptotics of the distance between the …
Existence of Noise Induced Order, a Computer Aided Proof
Stefano Galatolo, Maurizio Monge, Isaia Nisoli
We prove the existence of Noise Induced Order in the Matsumoto-Tsuda model, where it was originally discovered in 1983 by numerical simulations. This is a model of the famous Belos…
Non-denseness of hyperbolicity for linear isomorphisms in Banach spaces
Jose F. Alves, Maurizio Monge
We present an infinite dimensional Banach space in which the set of hyperbolic linear isomorphisms in that space is not dense (in the norm topology) in the set of linear isomorphis…
Left invertibility of I/O quantized linear systems in dimension 1: a number theoretic approach
Nevio Dubbini, Maurizio Monge, Antonio Bicchi
This paper studies left invertibility of discrete-time linear I/O quantized linear systems of dimension 1. Quantized outputs are generated according to a given partition of the sta…