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math.DS2021★ 6 cited
On the Shroer-Sauer-Ott-Yorke predictability conjecture for time-delay embeddings
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
Shroer, Sauer, Ott and Yorke conjectured in 1998 that the Takens delay embedding theorem can be improved in a probabilistic context. More precisely, their conjecture states that if…
math.DS2021
Maximal pronilfactors and a topological Wiener-Wintner theorem
Yonatan Gutman, Zhengxing Lian
For strictly ergodic systems, we introduce the class of CF-Nil() systems: systems for which the maximal measurable and maximal topological -step pronilfactors coincide as mea…