4 papers
Coexistence of CHSH Nonlocality and KCBS Contextuality in a Single Quantum State
Khai Nguyen, Duc M. Doan, Hung Q. Nguyen
Contextuality and nonlocality are distinct manifestations at the foundation of quantum mechanics, yet their coexistence within a single quantum state remains subtle. In a hybrid CH…
Piecewise regular solutions to scalar balance laws with singular nonlocal sources
Lorena Bociu, Evangelia Ftaka, Khai T. Nguyen +1
The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels.…
A sharp quantitative estimate of critical sets
Andrew Murdza, Khai T. Nguyen
The paper establishes a sharp quantitative estimate for the -Hausdorff measure of the critical set of vector-valued functions on . Additionally…
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…