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math.CA2023
Hausdorff measure of zeros of polynomials
Andrew Murdza, Khai T. Nguyen, Etienne Phillips
The paper provides an elementary proof establishing a sharp universal bound on the -Hausdorff measure of the zeros of any nontrivial multivariable polynomial $p:\mathbb{R}^d…
math.FA2023
A lower bound on the quantitative version of the transversality theorem
Andrew Murdza, Khai T. Nguyen
The present paper studies a quantitative version of the transversality theorem. More precisely, given a continuous function and a manifold…