Criteria are established for finite limit sets of fractional parts of linear recurrent sequences, with lower bounds on maximal distances between limit values.
Weyl, ¨Uber die Gleichverteilung von Zahlen mod
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Coupling atoms to a superposition of Klein-Gordon fields allows exact relativistic quantum statistical thermodynamics calculations via parameter renormalization, eliminating UV divergence upon quantization and proving phase transitions.
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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.
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Principles of relativistic quantum statistical thermodynamics: a class of exactly solvable models
Coupling atoms to a superposition of Klein-Gordon fields allows exact relativistic quantum statistical thermodynamics calculations via parameter renormalization, eliminating UV divergence upon quantization and proving phase transitions.