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20152023
most citedExact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation

6 citations · 8 across the 5 of their papers we have counts for

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6 papers

math.PR2023

Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures

Cesar Cuenca, Maciej Dołęga, Alexander Moll

This paper establishes universal formulas describing the global asymptotics of two distinct discrete versions of -ensembles in the high, low and fixed temperature regimes. Our r…

math.CO2022★ 1 cited

Spectral Theory of the Nazarov-Sklyanin Lax Operator

Ryan Mickler, Alexander Moll

In their study of Jack polynomials, Nazarov-Sklyanin introduced a remarkable new graded linear operator where is the ring of symmetr…

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★ 6 cited

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★ 1 cited

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 (…

math-ph2015

Random Partitions and the Quantum Benjamin-Ono Hierarchy

Alexander Moll

We derive exact and asymptotic results for random partitions from general results in the semi-classical analysis of coherent states applied to the classical periodic Benjamin-Ono e…