Pin classes exhibit a phase transition at μ ≈ 3.28277 with countably many below the threshold and uncountably many at it; all growth rates below μ are classified via periodic pin permutations.
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UNVERDICTED 2representative citing papers
Criteria are established for finite limit sets of fractional parts of linear recurrent sequences, with lower bounds on maximal distances between limit values.
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Pin classes II: Small pin classes
Pin classes exhibit a phase transition at μ ≈ 3.28277 with countably many below the threshold and uncountably many at it; all growth rates below μ are classified via periodic pin permutations.
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Distribution modulo one of linear recurrent sequences
Criteria are established for finite limit sets of fractional parts of linear recurrent sequences, with lower bounds on maximal distances between limit values.