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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2025 2verdicts
UNVERDICTED 2representative citing papers
Additive functionals of the determinantal point process with confluent hypergeometric kernel converge to Gaussian with a Kolmogorov-Smirnov distance estimate as R tends to infinity.
citing papers explorer
-
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.
-
Central limit theorem for the determinantal point process with the confluent hypergeometric kernel
Additive functionals of the determinantal point process with confluent hypergeometric kernel converge to Gaussian with a Kolmogorov-Smirnov distance estimate as R tends to infinity.