20 citations · 123 across the 36 of their papers we have counts for
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math.DS2019★ 3 cited
Irregular sets for piecewise monotonic maps
Yushi Nakano, Kenichiro Yamamoto
For any transitive piecewise monotonic map for which the set of periodic measures is dense in the set of ergodic invariant measures (such as monotonic mod one transformations and p…
math.DS2019★ 20 cited
Historic behavior in non-hyperbolic homoclinic classes
Pablo G. Barrientos, Shin Kiriki, Yushi Nakano +2
We show that -generically for diffeomorphisms of manifolds of dimension , a homoclinic class containing saddles of different indices has a residual subset where the or…
math.DS2019★ 18 cited
Emergence via non-existence of averages
Shin Kiriki, Yushi Nakano, Teruhiko Soma
Inspired by a recent work by Berger, we introduce the concept of pointwise emergence. This concept provides with a new quantitative perspective into the study of non-existence of a…