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Ruqing Chen

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#edge computing Open access Oct 2026

Algorithmic Non-commutative Class Field Theory, Volume III: Higher-Rank Buildings, Non-Equilibrium Topology and Higher-Order Games

This monograph is the third volume of "Algorithmic Non-commutative Class Field Theory". It studies spectral, dynamical and arithmetic structures on finite quotients of Ã₂ (and, where possible, Ã_d) buildings, in particular on the complexes X₃, Y₂₁, …, Y₁₆₈ of Volumes I–II and on the canonical 2-tower of Cartwright–Steg...

Ruqing Chen · 0 citations
#edge computing Open access Oct 2026

Algorithmic Non-commutative Class Field Theory, Volume III: Higher-Rank Buildings, Non-Equilibrium Topology and Higher-Order Games

This monograph is the third volume of "Algorithmic Non-commutative Class Field Theory". It studies spectral, dynamical and arithmetic structures on finite quotients of Ã₂ (and, where possible, Ã_d) buildings, in particular on the complexes X₃, Y₂₁, …, Y₁₆₈ of Volumes I–II and on the canonical 2-tower of Cartwright–Steg...

Ruqing Chen · 0 citations
#edge computing Open access Sep 2026

The abelian scaling bottleneck, and the angular Hurwitz system: where noncommutative arithmetic thermodynamics can and cannot live

Two structural results on the possibility of a genuinely noncommutative arithmetic thermodynamics. First, a universal no-go, the abelian scaling bottleneck: for a right LCM semigroup with scalar one-parameter dynamics driven by a multiplicative weight N, every KMS state is tracial on the gauge-fixed algebra, the classi...

Ruqing Chen · 0 citations
#edge computing Open access Sep 2026

The abelian scaling bottleneck, and the angular Hurwitz system: where noncommutative arithmetic thermodynamics can and cannot live

Two structural results on the possibility of a genuinely noncommutative arithmetic thermodynamics. First, a universal no-go, the abelian scaling bottleneck: for a right LCM semigroup with scalar one-parameter dynamics driven by a multiplicative weight N, every KMS state is tracial on the gauge-fixed algebra, the classi...

Ruqing Chen · 0 citations

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