38 citations · 281 across the 52 of their papers we have counts for
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Describing orbit space of global unitary actions for mixed qudit states
Vladimir Gerdt, Arsen Khvedelidze, Yuri Palii
The unitary -equivalence relation between elements of the space of mixed states of -dimensional quantum system defines the orbit space $ \math…
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations
P. Amodio, Yu. Blinkov, V. Gerdt +1
In the given paper, we confront three finite difference approximations to the Navier--Stokes equations for the two-dimensional viscous incomressible fluid flows. Two of these appro…
Involutive Bases Algorithm Incorporating F5 Criterion
Vladimir P. Gerdt, Amir Hashemi, Benyamin M. -Alizadeh
Faugere's F5 algorithm is the fastest known algorithm to compute Groebner bases. It has a signature-based and an incremental structure that allow to apply the F5 criterion for dele…
Entanglement of spins under a strong laser influence
V. Gerdt, S. Gogilidze, A. Khvedelidze +2
The fate of entanglement of spins for two heavy constituents of a bound state moving in a strong laser field is analyzed within the semiclassical approach. The bound state motion a…
Noetherian quotients of the algebra of partial difference polynomials and Grobner bases of symmetric ideals
Vladimir P. Gerdt, Roberto La Scala
In this paper we develop a Grobner bases theory for ideals of partial difference polynomials with constant or non-constant coefficients. In particular, we introduce a criterion pro…