4 citations · 8 across the 5 of their papers we have counts for
5 papers
Gaussian and Robust Kronecker Product Covariance Estimation: Existence and Uniqueness
Ilya Soloveychik, Dmitry Trushin
We study the Gaussian and robust covariance estimation, assuming the true covariance matrix to be a Kronecker product of two lower dimensional square matrices. In both settings we…
Algebraization of a Cartier divisor
Dmitry Trushin
We extend to pairs classical results of R. Elkik on lifting of homomorphisms and algebraization. In particular, we establish algebraization of an affine rig-smooth formal variety w…
Computing Constraint Sets for Differential Fields
Russell Miller, Alexey Ovchinnikov, Dmitry Trushin
Kronecker's Theorem and Rabin's Theorem are fundamental results about computable fields F and the decidability of the set of irreducible polynomials over F. We adapt these theorems…
Galois theory of difference equations with periodic parameters
Benjamin Antieau, Alexey Ovchinnikov, Dmitry Trushin
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups. We then apply this t…
Nullstellensatz over quasifields
Dima Trushin
We investigate the least studied class of differential rings -- the class of differential rings of nonzero characteristic. We present the notion of differentially closed quasifield…