271 citations · 5.4k across the 157 of their papers we have counts for
163 papers
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…
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…
On the local term in the anomaly-induced action of Weyl quantum gravity
Andrei O. Barvinsky, Guilherme H. S. Camargo, Alexei E. Kalugin +2
The finite local conformally non-invariant -term emerges in the one-loop effective action of the model of quantum gravity based on the Weyl-squared classical action. This term…
Hopf-cyclic coefficients in the braided setting
Ilya Shapiro
Considering the monoidal category obtained as modules over a Hopf algebra in a rigid braided category , we prove decomposition results for the Hochsc…
Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms
Wagno Cesar e Silva, Ilya L. Shapiro
We explore the decoupling of massive ghost mode in the (four-dimensional) theory of the conformal factor of the metric. The model was introduced by Antoniadis and Mottola in […
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…