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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
Typical absolute continuity for classes of dynamically defined measures
Balázs Bárány, Károly Simon, Boris Solomyak +1
We consider one-parameter families of smooth uniformly contractive iterated function systems on the real line. Given a family of parameter dependent measures …