M. Piorkowski

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20242026

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math-ph2024

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…

math-ph2024

The spectral $I^¶$ -function for quasi-regular Sturm--Liouville operators

Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill

In this work we analyze the spectral $I^¶$ -function associated with the self-adjoint extensions, $T_{A, B}$ , of quasi-regular Sturm--Liouville operators that are bounded from below.…

Arctic curves of periodic dimer models and generalized discriminants

The spectral I^¶-function for quasi-regular Sturm--Liouville operators

The spectral $I^¶$ -function for quasi-regular Sturm--Liouville operators