Reactivity of complex communities can be more important than stability by Yuguang Yang, Katharine Z. Coyte, Kevin R. Foster, Aming Li

“…Here, we challenge this focus, showing that short-term dynamics can be a better predictor of outcomes for complex ecosystems. Using random matrix theory, we study how complex ecosystems behave immediately after small perturbations. …”
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Gaussian determinantal processes: A new model for directionality in data by Ghosh, Subhroshekhar, Rigollet, Philippe

“…These theoretical investigations unveil intriguing questions for further examination in random matrix theory, stochastic geometry, and related topics.…”
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Beta-ensembles with covariance by Dubbs, Alexander

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Distributed containment control of networked fractional-order systems with delay-dependent communications by Liu, Xueliang, Xu, Bugong, Xie, Lihua

“…By employing the algebraic graph theory, matrix theory, Nyquist stability theorem, and frequency domain method, it is analytically proved that the whole follower agents will flock to the convex hull which is formed by the leaders. …”
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Controllability of impulsive singularly perturbed systems and its application to a class of multiplex networks by Yang, Wu, Wang, Yan-Wu, Guan, Zhi-Hong, Wen, Changyun

“…Moreover, a new type of heterogeneous multiplex multi-time-scale networks is introduced and can be further modeled by ISPSs. Based on matrix theory and graph theory, some intuitive and easy-to-test criteria are deduced for the controllability of the proposed networks. …”
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Random matrices, boundaries and branes by Niedner, B

“…<p>This thesis is devoted to the application of random matrix theory to the study of random surfaces, both discrete and continuous; special emphasis is placed on surface boundaries and the associated boundary conditions in this formalism. …”

Spectral machine learning by Granziol, D

“…The second contribution is the development of a fielddependent, spiked random matrix theory for characterising the sub-sampling effects, due to mini-batching, on the loss surface of deep neural networks. …”

Distributed Adaptive Leader-following control for multi-agent multi-degree manipulators with Finite-Time guarantees by Mahyuddin, Muhammad Nasiruddin, Herrmann, Guido, Lewis, Frank L.

“…Due to the multi-DOF character of each agent, matrix theoretical results related to M-matrix theory used for multi-agent systems needs to be extended to the multi-degree context in contrast to recent scalar double integrator results. …”
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Anisotropic compactification of nonrelativistic M-theory by Stephen Ebert, Ziqi Yan

“…Nonrelativistic M-theory is U-dual to M-theory in the discrete light cone quantization, a non-perturbative approach related to the Matrix theory description of M-theory. We focus on the compactification of nonrelativistic M-theory over a two-torus that exhibits anisotropic behaviors due to the foliation structure of the spacetime geometry. …”
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Driven Quantum Dynamics: Will It Blend? by Leonardo Banchi, Daniel Burgarth, Michael J. Kastoryano

“…Randomness is an essential tool in many disciplines of modern sciences, such as cryptography, black hole physics, random matrix theory, and Monte Carlo sampling. In quantum systems, random operations can be obtained via random circuits thanks to so-called q-designs and play a central role in condensed-matter physics and in the fast scrambling conjecture for black holes. …”
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Asymptotic Approximation of the Standard Condition Number Detector for Large Multi-Antenna Cognitive Radio Systems by Hussein Kobeissi, Youssef Nasser, Amor Nafkha, Oussama Bazzi, Yves Louet

“…The approximation framework is based on the moment-matching method where the expressions of the moments are approximated using bi-variate Taylor expansion and results from random matrix theory. In addition, the performance probabilities and the decision threshold are considered. …”
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State estimation via prediction-based scheme for linear time-varying uncertain networks with communication transmission delays and stochastic coupling by Bing Xu, Jun Hu, Chaoqing Jia, Zhipeng Cao, Jinpeng Huang

“…Subsequently, the upper bound expression of the state estimation error covariance matrix is given by using the stochastic analysis technique and matrix theory, and the gain matrix of time-varying state estimator is obtained via minimizing the trace of such an upper bound. …”
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KLT factorization of nonrelativistic string amplitudes by Ziqi Yan, Matthew Yu

“…We will also discuss connections to the amplitudes of string theory in the discrete light cone quantization (DLCQ), a method that is relevant for Matrix theory.…”
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Nonlinear control of switchable wavelength-selective absorption in a one-dimensional photonic crystal including ultrathin phase transition material-vanadium dioxide by Ziba Saleki

“…Abstract Based on the transfer matrix theory, I realize a nearly perfect wavelength-selective absorption of near-IR waves in a one-dimensional defective photonic crystal, $$(AB)^ND(BA)^M$$ ( A B ) N D ( B A ) M , containing a vanadium dioxide (VO $$_2$$ 2 ) phase transition layer as a defect. …”
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Many-body quantum chaos in stroboscopically-driven cold atoms by Ceren B. Dağ, Simeon I. Mistakidis, Amos Chan, H. R. Sadeghpour

“…Abstract In quantum chaotic systems, the spectral form factor (SFF), defined as the Fourier transform of two-level spectral correlation function, is known to follow random matrix theory (RMT), namely a ‘ramp’ followed by a ‘plateau’ in late times. …”
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Secure Energy-Efficient Transmission for SWIPT Intelligent Connected Vehicles With Imperfect CSI by Chao Meng, Gang Wang, Xi Dai

“…By exploiting the maximum ratio transmission (MRT) scheme and the norm-bounded matrix theory, we convert the original intractable problem to a fractional optimization one with three variables. …”
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Volume-Law Entanglement Entropy of Typical Pure Quantum States by Eugenio Bianchi, Lucas Hackl, Mario Kieburg, Marcos Rigol, Lev Vidmar

“…Finally, we discuss the connection between the entanglement entropy of typical pure states and analytical results obtained in the context of random matrix theory, as well as numerical results obtained for physical Hamiltonians.…”
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Statistical accuracy analysis for virtual reference feedback tuning with two degrees of freedom controllers* by Liu Qianming, Wang Jianhong, Wang Yanxiang

“…The detailed computational process about the asymptotic variance matrix is given by using some knowledge from probability theory and matrix theory. Based on our obtained asymptotic variance matrix, two applications of optimal input design and model structure validation are used to illustrate how to use the obtained asymptotic variance matrix. …”
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Inductive Cascaded Quadruplet With Diagonal Cross-Coupling in Rectangular Waveguide by Santiago Cogollos, Richard J. Cameron, Marco Guglielmi, Juan Carlos Melgarejo, Vicente E. Boria

“…In addition to coupling matrix theory, we also describe distributed networks that can be effectively used to carry out the transition from coupling matrix descriptions to actual waveguide structures. …”
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The hidden side of scalar-triplet models with spontaneous CP violation by P. M. Ferreira, B. L. Gonçalves, F. R. Joaquim

“…In particular, we show that the existence of two light neutral scalars with masses below a few tenths of GeVs is unavoidable in the CP-violating case. Using matrix theory theorems, we derive upper bounds for the masses of those light scalars and briefly examine whether they can still be experimentally viable. …”
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