Author

Matteo Tanzi

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Preprint Sep 2026

Observable Lyapunov Exponents for Globally Coupled Maps in the Mean-Field Limit

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 instability has been a problem in the physics literature, and several approaches have been proposed. In this paper, we address this problem by in...

Masood Ahmad, Matteo Tanzi · 0 citations

Preprint Sep 2026

Stability of quasi-stationary measures in high-dimensional products of mixing Markov chains

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 holes whose stationary measure vanishes as the dimension grows, and we ask whether the resulting process admits a quasi-stationary measure clo...

Matteo Tanzi, Giuseppe Tenaglia · 0 citations

Preprint Sep 2026

Uniform in time propagation of chaos for noisy mean-field coupled maps

We study discrete-time $N$-dimensional mean-field systems on the torus subject to additive noise whose probability density is bounded away from zero. Given a Lipschitz one-particle map and interaction term, we prove that, if the lower bound on the noise density is sufficiently large, the $N$-dimensional transfer operat...

Giuseppe Tenaglia, Matteo Tanzi · 0 citations