3 papers
math.PR2020
Gaussian Asymptotics of Jack Measures on Partitions from Weighted Enumeration of Ribbon Paths
Alexander Moll
In this paper we determine two asymptotic results for Jack measures on partitions, a model defined by two specializations of Jack polynomials proposed by Borodin-Olshanski in [Euro…
math-ph2019
Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation
Alexander Moll
In this paper we describe the spectrum of the quantum periodic Benjamin-Ono equation in terms of the multi-phase solutions of the underlying classical system (the periodic multi-so…
math-ph2019
Finite Gap Conditions and Small Dispersion Asymptotics for the Classical Periodic Benjamin-Ono Equation
Alexander Moll
In this paper we characterize the Nazarov-Sklyanin hierarchy for the classical periodic Benjamin-Ono equation in two complementary degenerations: for the multi-phase initial data (…