Emergence via non-existence of averages

نویسندگان

چکیده

Inspired by a recent work Berger, we introduce the concept of pointwise emergence. This provides with new quantitative perspective into study non-existence averages for dynamical systems. We show that high emergence on large set appears abundant systems: Any continuous maps compact metric space specification property have super-polynomial residual subset state space. Furthermore, there is dense any Newhouse open each element which has positive Lebesgue measure

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2022

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2022.108254