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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 , sample a binary sequence from the infinite product measure of Bernoulli distributions. It is known that for , almost every binary sequence is Poisson…