5 papers
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…
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…
Nonuniform expansion and diffusive noise imply random horseshoes and random Young towers
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe and prove density of random horseshoes and existence of a random Young tower with annealed exponential tails for nonuniformly expanding rand…
BV estimates between the quasi-stationary measure and the invariant measure for systems with small hole and additive noise
Giuseppe Tenaglia
In this paper we introduce a class of non uniformly expanding random dynamical system with additive noise and we prove a BV estimate between the stationary measure and the quasista…