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Automatic actions I. Bounded automata and orbits

math.GR · 2026-06-06 · unverdicted · novelty 7.0

For bounded automatic actions of inverse semigroups the orbit relation is ω-regular, making first-order statements about orbits and actions decidable, including computability of Fatou component encodings for post-critically finite polynomials.

Isomoprhism of generalized Bratteli diagrams

math.DS · 2026-05-18 · unverdicted · novelty 5.0

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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Showing 2 of 2 citing papers after filters.

  • Automatic actions I. Bounded automata and orbits math.GR · 2026-06-06 · unverdicted · none · ref 18

    For bounded automatic actions of inverse semigroups the orbit relation is ω-regular, making first-order statements about orbits and actions decidable, including computability of Fatou component encodings for post-critically finite polynomials.

  • Isomoprhism of generalized Bratteli diagrams math.DS · 2026-05-18 · unverdicted · none · ref 73

    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.