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arXiv · 2608.28131

Reducing the domain of discrete multi-time determinantal point processes

Tom Claeys·Felix Gideonse
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Abstract

We consider a class of discrete multi-time determinantal point processes whose correlation kernels admit a double-contour integral form, containing Schur processes as simple examples. We show that the form of the correlation kernel is preserved under conditioning of the point process to a restricted domain, however, with an integrand which becomes more complicated and which is characterized by a Riemann-Hilbert problem. We apply our general result to domino tilings of reduced Aztec diamonds and to lozenge tilings of hexagons with holes. Our results show a striking analogy with the Its-Izergin-Korepin-Slavnov method for integrable kernels.

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Tom Claeys, Felix Gideonse. 2026-08-28. Reducing the domain of discrete multi-time determinantal point processes. https://arxiv.org/abs/2608.28131

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