Resilient Control Design of the Third-Order Discrete-Time Connected Vehicle Systems Against Cyber-Attacks by Zeming Li, Ziyuan Li, Yonggui Liu

“…First, the necessary and sufficient conditions for consensus of third-order discrete-time CVSs are derived in the absence of attacks by using algebraic graph and matrix theory. Then the interaction network framework between the original CVSs in the vehicle platoon layer and a virtual system in the hidden layer is established to resist cyber-attacks. …”
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Symplectic analytical solution for forced vibration of a multilayer plate system by Yongbin Ma, Qingfeng Cheng, Boping Wang

“…First, the coupled partial differential equations governing the vibration of the multi-plate system are decoupled using a technique based on matrix theory; for decoupled equations, a general “vibration” state is innovatively introduced into the symplectic dual system. …”
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Interpreting Deep Graph Convolutional Networks with Spectrum Perspective by Sisi Zhang, Fan Li, Tiancheng Zhang, Ge Yu

“…Afterwards, in addition to using conventional experimental methods, we proposed an experimental analysis strategy under the guidance of random matrix theory to analyze the singular value distribution of the model weight matrix. …”
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Relating non-relativistic string theories by Troels Harmark, Jelle Hartong, Lorenzo Menculini, Niels A. Obers, Gerben Oling

“…Finally, we consider a further limit of non-relativistic string theory that has proven useful in the context of AdS/CFT (related to Spin Matrix Theory). In that case, the worldsheet theory itself becomes non-relativistic and the dilaton coupling vanishes.…”
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Complexity of Some Duplicating Networks by Mohamed R. Zeen El Deen, Walaa A. Aboamer

“…These formulas have been discovered by employing techniques from linear algebra, orthogonal polynomials, and matrix theory.…”
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Neutron cross sections for carbon and oxygen from new R-matrix analyses of the 13,14C and 17O systems by Hale G.M., Paris M.W.

“…The fits to the data included are generally quite good, in keeping with the unitary constraints of R-matrix theory. The cross sections for 12,13C give results for natural carbon that are close to the previous evaluation by Fu et al. at energies below 1 MeV. …”
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Isospectral Twirling and Quantum Chaos by Lorenzo Leone, Salvatore F. E. Oliviero, Alioscia Hamma

“…Moreover, exploiting random matrix theory, we show that these measures of quantum chaos clearly distinguish the finite time behavior of probes to quantum chaos corresponding to chaotic spectra given by the Gaussian Unitary Ensemble (GUE) from the integrable spectra given by Poisson distribution and the Gaussian Diagonal Ensemble (GDE).…”
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Optimal Gains of Iterative Learning Control with Forgetting Factor

“…The necessary and sufficient condition for the ILC system convergence was obtained based on iterative matrix theory. The convergence of the learning algorithm was proved based on operator theory. …”
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Consensus of Fixed and Adaptive Coupled Multi-Agent Systems with Communication Delays by Zicheng Qiu, Sheng Tian, Baoping Zhou, Qi Han, Yuan Tian, Tengfei Weng, Turghunjan Mamut

“…For fixed coupled multi-agent systems, a new control strategy is designed by Lyapunov theory, matrix theory, and the inequality method to ensure the consensus of multi-agent systems. …”
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Thermalization and chaos in a 1+1d QFT by Luca V. Delacrétaz, A. Liam Fitzpatrick, Emanuel Katz, Matthew T. Walters

“…We find that our eigenstate spectrum satisfies Wigner-Dyson statistics and that the coefficients describing eigenstates in our basis satisfy Random Matrix Theory (RMT) statistics. At weak coupling, though the bulk of states satisfy RMT statistics, we find several scar states as well. …”
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Performance analysis of multiuser massive MIMO with multi-antenna users: Asymptotic data rate and its application by Kyungsik Min, Taehyoung Kim, Minchae Jung

“…Based on the random matrix theory results derived from the massive base station antenna characteristics, the singular values of the block diagonalized channel are obtained asymptotically, and thereby, the closed-form expression for the BD based sum-rate is derived. …”
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Monopole and instanton effects in QCD by Masayasu Hasegawa

“…(iii) The monopole and anti-monopole pairs change only the scale of the spectrum distribution without affecting the spectra of the Dirac operator by comparing the spectra with random matrix theory. Next, we find the instanton effects by increasing the number density of the instantons and anti-instantons as follows: (iv) the decay constants of the pseudoscalar increase. …”
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Intuitionistic-Fuzzy Goals in Zero-Sum Multi Criteria Matrix Games by Zia Bashir, Jarosław Wątróbski, Tabasam Rashid, Wojciech Sałabun, Jawad Ali

“…The classical matrix theory is deficient to express the vagueness of the real life. …”
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Beyond islands: a free probabilistic approach by Jinzhao Wang

“…Using the close tie between free probability and random matrix theory, we show that the PSSY model can be described as a random matrix model that is essentially a generalization of Page’s model. …”
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Distributed Consensus of Networked Lagrangian Systems With Unknown Nonidentical Control Directions by Yunfeng Ji, Song Tang, Na Liu, Gang Wang, Qingdu Li, Jianwei Zhang

“…It is proved by adopting the special properties of the Laplacian matrix on directed graphs and matrix theory that global uniform boundedness of all closed-loop signals and the asymptotic consensus can be achieved. …”
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Marčenko-Pastur law for Kendall’s tau by Bandeira, Afonso S., Lodhia, Asad Iqbal, Rigollet, Philippe

“…Keywords: statistics; random matrix theory…”
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Slow scrambling and hidden integrability in a random rotor model by Mao, Dan, Chowdhury, Debanjan, Senthil, T

“…We show that in this limit, the problem is integrable and points out interesting connections to random-matrix theory. At leading order in 1/M, there are no modifications to the critical behavior but an irrelevant term in the fixed-point action leads to a small exponential growth of the squared commutator. …”
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Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging by Ammari, Habib, Garnier, Josselin, Jugnon, Vincent

“…When the data are corrupted by measurement or instrument noise, the structure of the response matrix is studied by using random matrix theory. It is shown how the targets can be efficiently detected, localized and characterized. …”
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Effects of anisotropy and disorder on the superconducting properties of niobium by Mehdi Zarea, Hikaru Ueki, J. A. Sauls

“…We analyze the distribution of gap anisotropy and compute the suppression of the superconducting transition temperature using a self-consistent T-matrix theory for quasiparticle-impurity scattering to describe niobium doped with non-magnetic impurities. …”
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Discrete phase space-continuous time relativistic Klein–Gordon and Dirac equations, and a new non-singular Yukawa potential by Anadijiban Das, Rupak Chatterjee

“…The corresponding Feynman diagrams and a new $$S^{\#}$$ S # -matrix theory is developed. In the special case of proton-proton Møller scattering via an exchange of a neutral meson, the explicit second order element $$\langle f | S^{\#}_{(2)} |i \rangle $$ ⟨ f | S ( 2 ) # | i ⟩ is deduced. …”
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