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Airy wanderer line ensembles
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abstract
In (J. Stat. Phys. 132, 275-290, 2008) Borodin and P\'ech\'e introduced a generalization of the extended Airy kernel based on two infinite sets of parameters. For an arbitrary choice of parameters we construct determinantal point processes on $\mathbb{R}^2$ for these generalized kernels. In addition, for a subset of the parameter space we show that the point processes can be lifted to line ensembles on $\mathbb{R}$, which satisfy the Brownian Gibbs property. Our ensembles generalize the wanderer line ensembles introduced by Corwin and Hammond in (Invent. Math. 195, 441-508, 2014).
Forward citations
Cited by 2 Pith papers
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Applications of optimal transport to Dyson Brownian Motions and beyond
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A convergence framework for Airy$_\beta$ line ensemble via pole evolution
A pole-evolution characterization of the Airy_beta line ensemble yields convergence of DBM with general potentials, Laguerre, and Jacobi processes to the universal edge limit.
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