Introduces anchored multi-orbit distance-array projections that characterize Furstenberg disjointness via an independence criterion, supported by a marked Gromov-Vershik reconstruction.
Mathematical Surveys and Mono- graphs, vol
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Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.
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Observing Joinings: A Distance-Array Characterization of Furstenberg Disjointness
Introduces anchored multi-orbit distance-array projections that characterize Furstenberg disjointness via an independence criterion, supported by a marked Gromov-Vershik reconstruction.
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Isomoprhism of generalized Bratteli diagrams
Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.