2 citations · 5 across the 13 of their papers we have counts for
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Arctic curves of periodic dimer models and generalized discriminants
Mateusz Piorkowski
We compute the algebraic equation for arctic curves of the Aztec diamond with a doubly (quasi-)periodic weight structure and obtain similar results for certain models of the hexago…
The spectral -function for quasi-regular Sturm--Liouville operators
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
In this work we analyze the spectral -function associated with the self-adjoint extensions, , of quasi-regular Sturm--Liouville operators that are bounded from below. B…
Finer limit circle/limit point classification for Sturm-Liouville operators
Mateusz Piorkowski, Jonathan Stanfill
In this paper we introduce an index which we call the `regularization index' associated to the endpoints, , of no…
Wiener-Hopf factorizations and matrix-valued orthogonal polynomials
Arno B. J. Kuijlaars, Mateusz Piorkowski
We compare two methods for analysing periodic dimer models. These are the matrix-valued orthogonal polynomials approach due to Duits and one of the authors, and the Wiener-Hopf app…