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pro vyhledávání: '"I. G. Korepanov"'
Autor:
I. G. Korepanov
An ansatz is proposed for heptagon relation, that is, algebraic imitation of five-dimensional Pachner move 4--3. Our relation is realized in terms of matrices acting in a direct sum of one-dimensional linear spaces corresponding to 4-faces.
16 p
16 p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb67c4937b2ff3968217ff362a8a72e5
http://arxiv.org/abs/2003.10335
http://arxiv.org/abs/2003.10335
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 302:198-216
The paper is devoted to the study of a special statistical model on graphs with vertices of degrees 6 and 1. We show that this model is invariant with respect to certain Roseman moves if one regards the graph as the singular point set of the diagram
Publikováno v:
Measurement Techniques. 50:651-657
Simultaneous measurement is considered for the working medium level and density by means of a system of two pressure sensors placed in the liquid at different levels and the use of a Kalman filter for filtering out the noise in this system. © 2007 S
Autor:
I. G. Korepanov
Publikováno v:
Journal of Mathematical Sciences. 94:1620-1629
A dynamical system in discrete time is studied by means of algebraic geometry. This system has reductions which can be interpreted as classical field theory in the 2+1 discrete space-time. The study is based on the technique of vacuum curves and vacu
Autor:
I. G. Korepanov
Publikováno v:
Journal of Mathematical Sciences. 88:255-263
The present paper continues partI (Zap. Nauchn. Semin. POMI,215,178–196 (1994)), in which a dynamical system in discrete time generazed by a birational transformation acting on the equivalence classes of matrices of specific form is introduced. We
Autor:
I. G. Korepanov
Publikováno v:
Journal of Mathematical Sciences. 85:1671-1683
A completely integrable dynamical system in discrete time is studied by methods of algebraic geometry. The system is associated with factorization of a linear operator acting in the direct sum of three linear spaces into a product of three operators,
Autor:
I. G. Korepanov
Publikováno v:
Journal of Mathematical Sciences. 83:85-92
The tetrahedron equation arises as a generalization of the famous Yang-Baxter equation to the2+1-dimensional quantum field theory and three-dimensional statistical mechanics. Not much is known about its solutions. In the present paper, a systematic m
Autor:
I. G. Korepanov
Publikováno v:
Communications in Mathematical Physics. 154:85-97
Tetrahedral Zamolodchikov algebras are structures that occupy an intermediate place between the solutions of the Yang-Baxter equation and its generalization onto 3-dimensional mathematical physics — the tetrahedron equation. These algebras produce
Autor:
I. G. Korepanov
We construct knot invariants on the basis of ascribing Euclidean geometric values to a triangulation of the sphere S 3, where the knot lies. Edges of the triangulation along which the knot goes are distinguished by a nonzero deficit angle, in the ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec05aef82904a9b233fc3da1545b4037
http://dspace.susu.ru/handle/0001.74/20726
http://dspace.susu.ru/handle/0001.74/20726
Autor:
I. G. Korepanov
Publikováno v:
Theoretical & Mathematical Physics; Oct2002, Vol. 133 Issue 1, p1338-1347, 10p