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math.DS2026
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…
math.DS2026
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…
math.DS2026
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…