62 citations · 211 across the 28 of their papers we have counts for
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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…