PermutativeLifts
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Contents
- Compact aligned tower limits with periodic coordinates
- Continuous finite-action transfers for the balanced subshift
- Minimal actual prefix fibres
- Full binary lifts over the balanced base
- Actual phase factors and invariant measures
- Minimality and an actual balanced Toeplitz generator
- The regular Toeplitz and strictly ergodic branch is refuted by one base
- Actual regular balanced Toeplitz generator
- Recognizable balanced factorial subshift
- Vanishing phase error and unique ergodicity
- Equal-height factorial words with common outer thirds
- The entire bipermutative lift as a finite skew product
- Finite-difference preinjectivity
- Equal-length marked tiling phases and recognizability
- Essential periods from actual colored skeletons
- Continuous transfers for every finite action
- Uniform recurrence and minimality
- Refinement and recognizability of factorial tilings
- Continuous decoding and aperiodicity
- Recognizable factorial words and finite holonomy
- Trivializing permutation coboundaries on the original fibre
- Finite-difference propagation
- Left-permutative finite-difference preinjectivity
- Compact spaces of marked block tilings
- Actual periodic-skeleton density exhaustion
- Actual periodic-skeleton density under rescaling
- Right-permutative finite-difference preinjectivity
- Sparse disagreement and finite windows
- Physical refinement of two-run word tilings
- Uniform splitting of all complete binary lifts
- A single base refutes the general minimal branch