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- W2963431905 abstract "For the simple Bratteli diagrams B where there is a single edge connecting any two vertices in consecutive levels, we show that a random order has uncountably many infinite paths if and only if the growth rate of the level-n vertex sets is super-linear. This gives us the dichotomy: a random order on a slowly growing Bratteli diagram admits a homeomorphism, while a random order on a quickly growing Bratteli diagram does not. We also show that for a large family of infinite rank Bratteli diagrams B, a random order on B does not admit a continuous Vershik map." @default.
- W2963431905 created "2019-07-30" @default.
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- W2963431905 date "2016-10-31" @default.
- W2963431905 modified "2023-09-24" @default.
- W2963431905 title "Bratteli diagrams where random orders are imperfect" @default.
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- W2963431905 doi "https://doi.org/10.1090/proc/13284" @default.
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