cherubino

Limit Theorems for a class of unbounded observables on the real line with an application to sampling the Lindelöf Hypothesis – Kasun Fernando (Centro De Giorgi – SNS)

 We prove the Central Limit Theorem, first order Edgeworth expansion and Mixing Local Limit Theorem for the Birkhoff sums of a class of L^3 observables over Boolean-type transformations on the real line. The class of observables include the real…

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Metric theory of the weighted products of partial quotients in continued fractions – Ayreena Bakhtawar (Centro De Giorgi – SNS)

The fundamental objective of the theory of Diophantine approximation is to seek an answer to a simple question “how well irrational numbers can be approximated by rational numbers?” In this regard the theory of continued fractions provides a quick…

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