Proves the conditional minimal-intermediate-entropy property holds for topologically expanding maps, transitive countable Markov shifts, and symbolic systems with non-uniform structure via adapted multi-horseshoe constructions.
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Subsets of flowers have linear complexity, flowers relate to interval exchange transformations, and numerical results support that trigonometric polynomials maximize on flowers.
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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Abundance of minimal measures via entropy and multifractal analysis
Proves the conditional minimal-intermediate-entropy property holds for topologically expanding maps, transitive countable Markov shifts, and symbolic systems with non-uniform structure via adapted multi-horseshoe constructions.
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Expanding Maps on Flowers, Interval Exchange Transformations, and Ergodic Optimization
Subsets of flowers have linear complexity, flowers relate to interval exchange transformations, and numerical results support that trigonometric polynomials maximize on flowers.
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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.