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math.DS2026
Abundance of typical horseshoes for the random standard map
Giuseppe Tenaglia
We introduce a notion of typical horseshoe, consisting of a pair of rectangles admitting Markov returns at times of positive lower density, with controlled hyperbolic geometry and…
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…