55 citations · 357 across the 18 of their papers we have counts for
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Cluster formation in mesoscopic systems
Elena Kartashova, Guenther Mayrhofer
Graph-theoretical approach is used to study cluster formation in mesocsopic systems. Appearance of these clusters are due to discrete resonances which are presented in the form of…
Laminated Wave Turbulence: Generic Algorithms III
Elena Kartashova, Alexey Kartashov
Model of laminated wave turbulence allows to study statistical and discrete layers of turbulence in the frame of the same model. Statistical layer is described by Zakharov-Kolmogor…
Quantifier elimination for approximate Beals-Kartashova factorization
Elena Kartashova, Scott McCallum
The only known constructive factorization algorithm for linear partial differential operators (LPDOs) is Beals-Kartashova (BK) factorization \cite{bk2005}. One of the most interest…
Exact and quasi-resonances in discrete water-wave turbulence
Elena Kartashova
The structure of discrete resonances in water-wave turbulence is studied. It is shown that the number of exact 4-wave resonances is huge (hundreds million) even in comparatively sm…