Introduces skew column RSK dynamics on skew tableaux pairs, proves solitonic behavior via a linearizing bijection to weak tableaux, riggings and sequences, and derives bijective proofs for transformed Hall-Littlewood identities.
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3 Pith papers cite this work. Polarity classification is still indexing.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Space-time fluctuations for currents in the thermal Toda lattice converge to an explicit Gaussian limit under diffusive scaling, implying Brownian motion for single-particle trajectories and explicit 1/time correlation decays.
The slot decomposition of continuous Box-Ball Systems is a Poisson process when the weight function is in L1 under product measures on finite excursions.
citing papers explorer
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Skew column RSK dynamics and the box-ball system
Introduces skew column RSK dynamics on skew tableaux pairs, proves solitonic behavior via a linearizing bijection to weak tableaux, riggings and sequences, and derives bijective proofs for transformed Hall-Littlewood identities.
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Fluctuations for the Toda lattice
Space-time fluctuations for currents in the thermal Toda lattice converge to an explicit Gaussian limit under diffusive scaling, implying Brownian motion for single-particle trajectories and explicit 1/time correlation decays.
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Slot decomposition of continuous Box-Ball Systems
The slot decomposition of continuous Box-Ball Systems is a Poisson process when the weight function is in L1 under product measures on finite excursions.