Nicolò Paviato

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20212026

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4 papers · 1 filter

math.DS2025

A threshold for Poisson behavior of non-stationary product measures

Michael Hochman, Nicolò Paviato

Let $γ_{n} = O (lo g^{- c} n)$ and let $ν$ be the infinite product measure whose $n$ -th marginal is Bernoulli $(1/2 + γ_{n})$ . We show that $c = 1/2$ is the threshold, above which $ν$ -almo…

math.DS2024

Rates for maps and flows in a deterministic multidimensional weak invariance principle

Nicolò Paviato

We present the first rates of convergence to an $N$ -dimensional Brownian motion when $N \geq 2$ for discrete and continuous time dynamical systems. Additionally, we provide the first…

math.DS2021

Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems

Ian Melbourne, Nicolo Paviato, Dalia Terhesiu

We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be emb…

math.DS2021

Decay in norm of transfer operators for semiflows

Ian Melbourne, Nicolo Paviato, Dalia Terhesiu

We establish exponential decay in Hölder norm of transfer operators applied to smooth observables of uniformly and nonuniformly expanding semiflows with exponential decay of correl…