Nicolò Paviato

collaborators

3 papers

math.DS2026

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

NicolÃ² 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.DS2025

A threshold for Poisson behavior of non-stationary product measures

Michael Hochman, NicolÃ² Paviato

Let $I^_{n}^{3} = O (lo g^{- c} n)$ and let $I^½$ be the infinite product measure whose $n$ -th marginal is Bernoulli $(1/2 + I^_{n}^{3})$ . We show that $c = 1/2$ is the threshold, above which $I^½$ -…

math.PR2025

Limiting behaviour of pattern counts in biased binary strings

Jon V. Kogan, NicolÃ² 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…