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math.DS2023
Algebraic aspects of homogeneous Kuramoto oscillators
Heather Harrington, Hal Schenck, Mike Stillman
We investigate algebraic and topological signatures of networks of coupled oscillators. Translating dynamics into a system of algebraic equations enables us to identify classes of…
hep-th2023★ 2 cited
Counting Calabi-Yau Threefolds
Naomi Gendler, Nate MacFadden, Liam McAllister +4
We enumerate topologically-inequivalent compact Calabi-Yau threefold hypersurfaces. By computing arithmetic and algebraic invariants and the Gopakumar-Vafa invariants of curves, we…