Results 61 to 70 of about 138,468 (211)

Infinite Products of Large Random Matrices and Matrix-valued Diffusion [PDF]

, 2003
We use an extension of the diagrammatic rules in random matrix theory to evaluate spectral properties of finite and infinite products of large complex matrices and large hermitian matrices.
't Hooft, Ambjørn, Ambjørn, Barnsley, Beenakker, Biane, Bouchaud, Brézin, Brézin, Brézin, Caswell, Chalker, Crisanti, de Oliveira, de Oliveira, Di Francesco, Diakonos, Dupuis, Ewa Gudowska-Nowak, Feinberg, Feinberg, Fyodorov, Fyodorov, Ginibre, Girko, Goldhirsch, Gudowska-Nowak, Gudowska-Nowak, Guhr, Haake, Hatano, Jackson, Janik, Janik, Janik, Jerzy Jurkiewicz, Lehmann, Maciej A. Nowak, Mantegna, Mehta, Mehta, Müller, Porter, Romuald A. Janik, Santhanam, Sengupta, Sommers, Speicher, Taylor, Telatar, Tse, Voiculescu, Voiculescu, Wang   +53 more
core   +1 more source

Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective

Advanced Electronic Materials, EarlyView.
Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Vincenzo Galdi   +4 more
wiley   +1 more source

On the Hermitian R-Conjugate Solution of a System of Matrix Equations

Journal of Applied Mathematics, 2012
Let R be an n by n nontrivial real symmetric involution matrix, that is, R=R−1=RT≠In. An n×n complex matrix A is termed R-conjugate if A¯=RAR, where A¯ denotes the conjugate of A.
Chang-Zhou Dong, Qing-Wen Wang, Yu-Ping Zhang   +2 more
doaj   +1 more source

Exceptional Antimodes in Multi‐Drive Cavity Magnonics

Advanced Electronic Materials, EarlyView.
Driven‐dissipative cavity‐magnonics provides a flexible platform for engineering non‐Hermitian physics such as exceptional points. Here, using a four‐port, three‐mode system with controllable microwave interference, antimodes and coherent perfect extinction (CPE) are realized, enabling active tuning to antimode exceptional points.
Mawgan A. Smith, Ryan D. McKenzie, Alban Joseph, Robert L. Stamps, Rair Macêdo   +4 more
wiley   +1 more source

Matrix models and parquet approximation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this work we consider the comparison of planar and planar parquet approximations for zero-dimensional hermitian matrix models. We discuss how the parquet approach reproduces planar one for matrix model ϕ4, multi-trace model, two-matrix model and the ...
A. O. Shishanin
doaj   +3 more sources

Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation

Abstract and Applied Analysis, 2019
In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework
Ivan I. Kyrchei
doaj   +1 more source

CFT approach to constraint operators for (β-deformed) hermitian one-matrix models

Nuclear Physics B, 2022
Since the (β-deformed) hermitian one-matrix models can be represented as the integrated conformal field theory (CFT) expectation values, we construct the operators in terms of the generators of the Heisenberg algebra such that the constraints can be ...
Rui Wang, Chun-Hong Zhang, Fu-Hao Zhang, Wei-Zhong Zhao   +3 more
doaj   +1 more source

Evolution of Physical Intelligence Across Scales

Advanced Intelligent Discovery, EarlyView.
By following the evolution of physical intelligence across scales, this article shows how intelligence arises from materials, structures, physical interactions, and collectives. It establishes physical intelligence as the evolutionary foundation upon which embodied intelligence is built.
Ke Liu, Tianyun Huang, Aming Li, Pengyu Lv, Tingting Qin, Wenhui Chen, Hui Wei, Huiling Duan   +7 more
wiley   +1 more source

Least-squares Hermitian problem of complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$

Journal of Inequalities and Applications, 2016
In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$ with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F ...
Peng Wang, Shifang Yuan, Xiangyun Xie
doaj   +1 more source

HS-integral and Eisenstein integral mixed circulant graphs

Theory and Applications of Graphs, 2023
A mixed graph is called \emph{second kind hermitian integral} (\emph{HS-integral}) if the eigenvalues of its Hermitian-adjacency matrix of the second kind are integers.
Monu Kadyan, Bikash Bhattacharjya
doaj   +1 more source