2 problems

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Uniquely ergodic correlation conjecture for additive and multiplicative systems
Let $(X,cmu,T)$ be a uniquely ergodic additive topological dynamical system of zero entropy, and let $(Y,cnu,S)$ be a finitely generated and strongly uniquely ergodic multiplicativ…
Conjectureopendisjointness ergodic-theory topological-dynamicsarXiv posted 2 days ago
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Aperiodicity conjecture for disjointness of additive and multiplicative systems
Let $(X,T)$ be an additive topological dynamical system of zero entropy, and let $(Y,S)$ be a finitely generated multiplicative topological dynamical system. Aperiodicity conjectur…
Conjectureopendisjointness multiplicative-dynamics topological-dynamicsarXiv posted 2 days ago

Uniquely ergodic correlation conjecture for additive and multiplicative systems