Nicolò Paviato

activity

20212026

collaborators

6 papers

math.PR2026

Central Limit Theorems for Finitary Factors of iid Processes

Raimundo Briceño, Zemer Kosloff, Nicolò Paviato

We study statistical limit theorems for time-series generated by multidimensional random fields that are finitary factors of iid random processes. Based on the decay of the tail of…

math.PR2025

Limiting behaviour of pattern counts in biased binary strings

Jon V. Kogan, Nicolò Paviato

For $p \in (0, 1)$ , sample a binary sequence from the infinite product measure of Bernoulli $(p)$ distributions. It is known that for $p = 1/2$ , almost every binary sequence is Poisson…

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…