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math.PR2020
Aging arcsine law in Brownian motion and its generalization
Takuma Akimoto, Toru Sera, Kosuke Yamato +1
Classical arcsine law states that fraction of occupation time on the positive or the negative side in Brownian motion does not converge to a constant but converges in distribution…
math.PR2018
Functional limit theorem for occupation time processes of intermittent maps
Toru Sera
We establish a functional limit theorem for the joint-law of occupations near and away from indifferent fixed points of interval maps, and of waits for the occupations away from th…