Proves Fredholm determinantal identity for tilted Toeplitz minors generalizing BOGC, with bialternant forms, Cauchy-Binet expansions, and asymptotic links to Airy kernel perturbations.
Airy kernel with two sets of parameters in directed percolation and random matrix theory
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abstract
We introduce a generalization of the extended Airy kernel with two sets of real parameters. We show that this kernel arises in the edge scaling limit of correlation kernels of determinantal processes related to a directed percolation model and to an ensemble of random matrices.
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math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors
Proves Fredholm determinantal identity for tilted Toeplitz minors generalizing BOGC, with bialternant forms, Cauchy-Binet expansions, and asymptotic links to Airy kernel perturbations.