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math.CA2026
Dragon curves in Littlewood roots
Marcus Michelen, Oren Yakir
A Littlewood polynomial is a polynomial whose coefficients lie in . While the majority of roots of a Littlewood polynomial of large degree are near the unit circle, nu…
math.PR2026
Gaussian limits of lattice Higgs models with complete symmetry breaking
Frederick Rajasekaran, Oren Yakir, Yanxin Zhou
Given any compact connected matrix Lie group and any lattice dimension , we construct a massive Gaussian scaling limit for the -valued lattice Yang-Mills-Higgs theor…
math.PR2026
Optimal factor matchings for point processes on non-amenable unimodular graphs
Yinon Spinka, Oren Yakir
Consider a unit-intensity point process on the vertex set of a transitive non-amenable unimodular graph. We study invariant matchings between and having small typic…