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.
Lectures on integrable probability
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
These are lecture notes for a mini-course given at the St. Petersburg School in Probability and Statistical Physics in June 2012. Topics include integrable models of random growth, determinantal point processes, Schur processes and Markov dynamics on them, Macdonald processes and their application to asymptotics of directed polymers in random media.
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UNVERDICTED 2representative citing papers
Derives Gessel-type Jack polynomial expansion for circular beta-ensemble expectations, yielding Szego limit theorem for H^{1/2} functions and Soshnikov-type CLT for sine-beta process when beta <= 2.
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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Gessel-Type Expansion for the Circular $\beta$-Ensemble and Central Limit Theorem for the Sine-$\beta$ Process for $\beta\le 2$
Derives Gessel-type Jack polynomial expansion for circular beta-ensemble expectations, yielding Szego limit theorem for H^{1/2} functions and Soshnikov-type CLT for sine-beta process when beta <= 2.