International Journal of Robust and Nonlinear Control, Volume 35, Issue 13, Page 5685-5704, 10 September 2025.ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng +2 more
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Quantitative susceptibility mapping in magnetically inhomogeneous tissues
Magnetic Resonance in Medicine, Volume 94, Issue 3, Page 1044-1059, September 2025.Abstract Purpose Conventional quantitative susceptibility mapping (QSM) methods rely on simplified physical models that assume isotropic and homogeneous tissue properties, leading to artifacts and inaccuracies in biological tissues. This study aims to develop and evaluate DEEPOLE, a deep learning–based method that incorporates macroscopically ...
Thomas Jochmann +6 more
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Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
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A stronger version of matrix convexity as applied to functions of Hermitian matrices
Journal of Inequalities and Applications, 1999 A stronger version of matrix convexity, called hyperconvexity is introduced. It is shown that the function is hyperconvex on the set of Hermitian matrices and is hyperconvex on the set of positive definite Hermitian matrices. The new concept makes it
Kagan Abram, Smith Paul J
doaj
The eigenvalues of a partitioned Hermitian matrix involving a parameter
, 1974 Robert C. Thompson
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Density-matrix renormalization-group algorithms with nonorthogonal orbitals and non-Hermitian operators, and applications to polyenes [PDF]
, 2005 Garnet Kin‐Lic Chan, Troy Van Voorhis
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Any Hermitian matrix is a linear combination of four projections
, 1984 Yoshihiro Nakamura
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Non-Hermitian random matrix theory: summation of planar diagrams, the ‘single-ring’ theorem and the disc–annulus phase transition [PDF]
, 2006 Joshua Feinberg
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A matrix model of a non-Hermitian β-ensemble
Random Matrices: Theory and ApplicationsWe introduce the first random matrix model of a complex [Formula: see text]-ensemble. The matrices are tridiagonal and can be thought of as the non-Hermitian analogue of the Hermite [Formula: see text]-ensembles discovered by [I. Dumitriu and A. Edelman, Matrix models for beta ensembles, J. Math. Phys. 43 (2002) 5830–5847].
Francesco Mezzadri, Henry Taylor
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UNIFIED DESCRIPTION OF CORRELATORS IN NON-GAUSSIAN PHASES OF HERMITIAN MATRIX MODEL [PDF]
, 2006 A. Alexandrov +2 more
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