15 citations · 40 across the 15 of their papers we have counts for
16 papers
Observable Lyapunov Exponents for Globally Coupled Maps in the Mean-Field Limit
Masood Ahmad, Matteo Tanzi
Large coupled systems may be chaotic at the microscopic level while exhibiting stable collective behaviour at the macroscopic level. Distinguishing between these two forms of insta…
Stability of quasi-stationary measures in high-dimensional products of mixing Markov chains
Matteo Tanzi, Giuseppe Tenaglia
We study high-dimensional conditioned dynamics obtained from an arbitrary number of independent copies of a mixing Markov chain. The dynamics is conditioned to avoid a family of ho…
Uniform in time propagation of chaos for noisy mean-field coupled maps
Giuseppe Tenaglia, Matteo Tanzi
We study discrete-time -dimensional mean-field systems on the torus subject to additive noise whose probability density is bounded away from zero. Given a Lipschitz one-particle…
Selfconsistent Transfer Operators for Heterogeneous Coupled Maps
Herbert M. C. Maquera, Tiago Pereira, Matteo Tanzi
We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean-field limit of such systems is gover…
Mean-Field Coupled Systems and Self-Consistent Transfer Operators: A Review
Matteo Tanzi
In this review we survey the literature on mean-field coupled maps. We start with the early works from the physics literature, arriving to some recent results from ergodic theory s…
Uniformly Expanding Coupled Maps: Self-Consistent Transfer Operators and Propagation of Chaos
Matteo Tanzi
In this paper we study systems of uniformly expanding coupled maps when is finite but large. We introduce self-consistent transfer operators that approximate the evolution…
Synchronization for Networks of Globally Coupled Maps in the Thermodynamic Limit
Fanni M. Sélley, Matteo Tanzi
We study a network of finitely many interacting clusters where each cluster is a collection of globally coupled circle maps in the thermodynamic (or mean field) limit. The state of…
Revealing dynamics, communities and criticality from data
Deniz Eroglu, Matteo Tanzi, Sebastian van Strien +1
Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate n…
Existence of physical measures in some Excitation-Inhibition Networks
Matteo Tanzi, Lai-Sang Young
In this paper we present a rigorous analysis of a class of coupled dynamical systems in which two distinct types of components, one excitatory and the other inhibitory, interact wi…
Random-like properties of chaotic forcing
Paolo Giulietti, Stefano Marmi, Matteo Tanzi
We prove that skew systems with a sufficiently expanding base have approximate exponential decay of correlations, meaning that the exponential rate is observed modulo an error. The…
Random Composition of L-S-V Maps Sampled Over Large Parameter Ranges
Christopher Bose, Anthony Quas, Matteo Tanzi
Liverani-Saussol-Vaienti (L-S-V) maps form a family of piecewise differentiable dynamical systems on depending on one parameter . These maps are everywhere…
Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems
Matteo Tanzi, Lai-Sang Young
We investigate dynamical systems obtained by coupling two maps, one of which is chaotic and is exemplified by an Anosov diffeomorphism, and the other is of gradient type and is exe…
Linear Response for a Family of Self-Consistent Transfer Operators
Fanni M. Sélley, Matteo Tanzi
We study a system of all-to-all weakly coupled uniformly expanding circle maps in the thermodynamic limit. The state of the system is described by a probability measure and its evo…
Effective networks: a model to predict network structure and critical transitions from datasets
Deniz Eroglu, Matteo Tanzi, Sebastian van Strien +1
Real-world complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through…
Heterogeneously Coupled Maps: hub dynamics and emergence across connectivity layers
Tiago Pereira, Sebastian van Strien, Matteo Tanzi
The aim of this paper is to rigorously study dynamics of Heterogeneously Coupled Maps (HCM). Such systems are determined by a network with heterogeneous degrees. Some nodes, called…
Robustness of ergodic properties of nonautonomous piecewise expanding maps
Matteo Tanzi, Tiago Pereira, Sebastian van Strien
Recently, there has been an increasing interest on nonautonomous composition of perturbed hyperbolic systems: composing perturbations of a given hyperbolic map results in stati…