7 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…
Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to add…
Random Young towers and quenched decay of correlations for predominantly expanding multimodal circle maps
Matheus M. Castro, Giuseppe Tenaglia
In this paper, we study the random dynamical system generated by a family of maps $f_{ω_0…