most citedA note on large deviations for unbounded observables

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math.DS2026

Stable laws for heavy-tailed observables on polynomially mixing billiards

Matthew Nicol, Manpreet Singh, Andrew Torok

We investigate the competition between two distinct mechanisms generating stable laws in deterministic dynamical systems: slow mixing of the system and heavy-tailed observables. Fo…

math.DS2019★ 1 cited

A note on large deviations for unbounded observables

Andrew Torok, Matthew Nicol

We consider exponential large deviations estimates for unbounded observables on uniformly expanding dynamical systems. We show that uniform expansion does not imply the existence o…