96 citations · 820 across the 46 of their papers we have counts for
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solv-int1998★ 35 cited
Quantum 2+1 evolution model
S. M. Sergeev
A quantum evolution model in 2+1 discrete space - time, connected with 3D fundamental map R, is investigated. Map R is derived as a map providing a zero curvature of a two dimensio…
solv-int1998★ 18 cited
3D symplectic map
S. M. Sergeev
Quantum 3D R-matrix in the classical (i.e. functional) limit gives a symplectic map of dynamical variables. The corresponding 3D evolution model is considered. An auxiliary problem…
solv-int1998★ 84 cited
Functional Tetrahedron Equation
R. M. Kashaev, I. G. Korepanov, S. M. Sergeev
We describe a scheme of constructing classical integrable models in 2+1-dimensional discrete space-time, based on the functional tetrahedron equation - equation that makes manifest…