9 papers · 1 filter
A simple proof of local universality for roots of Kac polynomials
Marcus Michelen, Oren Yakir
Let be a random polynomial of degree with i.i.d. mean-zero and finite variance random coefficients. It is well known that the roots of cluster uniformly around the…
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…
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 typ…
Correlation decay for U(1) lattice Higgs theory: the case of small mass
Sourav Chatterjee, Oren Yakir
We study the lattice Yang-Mills-Higgs model with inverse gauge coupling and Higgs length , in the ``complete breakdown of symmetry" regime. For lattice dimension $d\ge…
Optimal matchings of randomly perturbed lattices
Dor Elboim, Yinon Spinka, Oren Yakir
Consider a point process in Euclidean space obtained by perturbing the integer lattice with independent and identically distributed random vectors. Under mild assumptions on the la…
Law of large numbers for the discriminant of random polynomials
Marcus Michelen, Oren Yakir
Let be a random polynomial of degree , whose coefficients are independent and identically distributed random variables with mean-zero and variance one. Let denot…