11 citations · 16 across the 8 of their papers we have counts for
5 papers · 1 filter
Functional limits for "tied down" occupation time processes of infinite ergodic transformations
Jon. Aaronson, Toru Sera
We prove functional, distributional limit theorems for the occupation times of pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limit…
Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past
Yu Ito, Toru Sera, Kouji Yano
For multiparticle finite-state action evolutions, we prove that the observation -field admits a resolution involving a third noise which is generated by a random variable with…
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…
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…
Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations
Toru Sera, Kouji Yano
We prove that the joint distribution of the occupation time ratios for ergodic transformations preserving an infinite measure converges to a multidimensional version of Lamperti's…