3 papers
math.CO2026
Transitive Sets of Mutually Orthogonal Latin Squares
Amadou Keita, Ilya Shapiro
We investigate MacNeish's conjecture (known to be false in general) in the setting of what we call "transitive" Mutually Orthogonal Latin Squares (MOLS). When we restrict our atten…
hep-th2025
Decoupling theorem and effective quantum gravity
Ilya L. Shapiro
This is a contribution to the memorial edition devoted to Professor Vladislav Gavrilovich Bagrov, who was my official adviser from the beginning of undergraduate period to the end…
gr-qc2024
Pauli equation and charged spin-1/2 particle in a weak gravitational field
Samuel W. P. Oliveira, Guilherme Y. Oyadomari, Ilya L. Shapiro
Using the nonrelativistic approximation in the curved-space Dirac equation, the analog of the Pauli equation is derived for a weak gravitational field with a gauge fixing condition…