2 papers
math.DS2026
Thermodynamic formalism for hyperbolic random dynamical systems
Lucas Amorim, Matheus M Castro, Benoit Saussol +1
We develop thermodynamic formalism for random Anosov maps and uniformly Hölder random potentials. We assume uniform fibre hyperbolicity given by deterministic invariant cone fields…
math.DS2024
Compound Poisson distributions for random dynamical systems using probabilistic approximations
Lucas Amorim, Nicolai Haydn, Sandro Vaienti
We obtain quenched hitting distributions to be compound Poissonian for a certain class of random dynamical systems. The theory is general and designed to accommodate non-uniformly…