Positive-entropy adic realizations are nonstandard and have Poulsen limiting simplices
Positive-entropy adic realizations are nonstandard and have Poulsen limiting simplices
Consider a graph providing an adic realization of an automorphism with positive entropy, together with its associated limiting simplex. Positive-entropy adic graph conjecture. Such a graph is not standard, and the corresponding limiting simplex is a Poulsen simplex. The claim predicts a sharp distinction between positive-entropy adic realizations and standard graphs, while identifying the geometry of the associated simplex; no resolution is given in the source.
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Primary source
Anatoly Vershik, “The theory of filtrations of subalgebras, standardness and independence”, arXiv:1705.06619 (2017).
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