2 papers
math.PR2024
Higher order approximations in arcsine laws for subordinators
Toru Sera
We establish higher order approximations in the Dynkin--Lamperti theorem, a limit theorem for the distribution of a killed subordinator immediately before its first passage time ov…
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…