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math.DS2022★ 5 cited
Arcsine law for random dynamics with a core
Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa +1
In their recent paper [8], G.Hata and the fourth author first gave an example of random iterations of two piecewise linear interval maps without (deterministic) indifferent periodi…
math.DS2021
Arcsine and Darling--Kac laws for piecewise linear random interval maps
Genji Hata, Kouji Yano
We give examples of piecewise linear random interval maps satisfying arcsine and Darling--Kac laws, which are analogous to Thaler's arcsine and Aaronson's Darling--Kac laws for the…