Results 11 to 20 of about 4,024 (108)
Combinatorics of KP hierarchy structural constants
European Physical Journal C: Particles and Fields, 2021 We investigate the structural constants of the KP hierarchy, which appear as universal coefficients in the paper of Natanzon–Zabrodin arXiv:1509.04472 . It turns out that these constants have a combinatorial description in terms of transport coefficients
A. Andreev +3 more
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Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with SO(3)
Advances in Mathematical Physics, 2017 Based on the three-dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi-integrable and tri-integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged ...
Jian Zhang, Chiping Zhang, Yunan Cui
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Rainbow tensor model with enhanced symmetry and extreme melonic dominance
Physics Letters B, 2017 We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the large N limit as compared to that of the matrix model: in particular, what are dressed in this limit are ...
H. Itoyama, A. Mironov, A. Morozov
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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
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Maximal cuts in arbitrary dimension
Journal of High Energy Physics, 2017 We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
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Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
Nuclear Physics B, 2016 The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li +5 more
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Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)
Open Mathematics, 2017 In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
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ON SOME PROPERTIES OF UNBOUNDED BILINEAR FORMS ASSOCIATED WITH SKEW-SYMMETRIC L2(Ω)-MATRICES
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 We study the bilinear forms on the space of measurable square-integrable functionswhich are generated by skew-symmetric matrices with unbounded coecients.We show that in the case when a skew-symmetric matrix contains L2-elements, the corresponding ...
P. I. Kogut
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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
Linear Algebra and its Applications, 2004 Many problems in systems and control theory require the solution of Sylvester's equation \(AX-YB=C\) or of its generalization \((*)\) \(AXB+CYD=E\). The author studies the couple of matrix equations \((**)\) \(A_1XB_1=C_1,A_2XB_2=C_2\) over an arbitrary regular ring with identity.
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Duality in non-Hermitian random matrix theory
Nuclear Physics BWe consider 9 Gaussian matrix ensembles characterized by single symmetry among the 38-fold symmetry classification classes of non-Hermitian random matrices, and establish exact duality formulae of certain observables between them.
Dang-Zheng Liu, Lu Zhang
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