15 citations · 15 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
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…
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…