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math.DS2024
Large deviations for occupation and waiting times of infinite ergodic transformations
Toru Sera
We establish large deviation estimates related to the Darling--Kac theorem and generalized arcsine laws for occupation and waiting times of ergodic transformations preserving an in…
math.DS2023
Generalized uniform laws for tied-down occupation times of infinite ergodic transformations
Jon. Aaronson, Toru Sera
We establish a conditional limit theorem for occupation times of infinite ergodic transformations under a tied-down condition, that is, the condition that the orbit returns to a re…
math.DS2019★ 1 cited
Tied-down occupation times of infinite ergodic transformations
Jon. Aaronson, Toru Sera
We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at "tied-down" times i…