Aspects of non-relativistic quantum field theories by Stefano Baiguera

“…Finally, we define the Spin Matrix Theory limit of the AdS/CFT correspondence, which is a non-relativistic sector of the duality obtained via a decoupling limit, where a precise matching of the two sides can be achieved.…”
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Signal Consensus in TSP of the Same Grid in Road Network by Dongyuan Li, Chengshuai Li, Zidong Wang, Deqiang Wang, Jianping Xing, Bo Zhang

“…We give the convergence conditions of the consensus algorithms with and without input constraints in TSP respectively and analyze the convergence performance of them by using matrix theory and graph theory, and PTV-VISSIM is used to simulate the traffic accident probability of three cases at intersections. …”
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SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS by ASAF FERBER, VISHESH JAIN

“…The proof utilizes and extends a novel combinatorial approach to discrete random matrix theory, which has been recently introduced by the authors together with Luh and Samotij.…”
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Effects of Quantum Confinement Energy on the Transmittance of Cadmium Telluride (CdTe) Within the Near Infrared Region (700-2500nm) by Ali Hussein Hammad Asal, Saeed Naif Turki Al-Rashid

“…The MATLAB computer program version (2012a) was used, which is based on the characteristic matrix theory and Brus model, in addition to the quantum confinement energy equation. …”
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Novel Criteria of Stability for Delayed Memristive Quaternionic Neural Networks: Directly Quaternionic Method by Jie Pan, Lianglin Xiong

“…By utilizing the formula, the <i>M</i>-matrix theory, and the inequality techniques, some algebraic standards are gained to affirm the global exponential stability (GES) of the ES for the MQNN. …”
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Similarity between a many-body quantum avalanche model and the ultrametric random matrix model by Jan Šuntajs, Miroslav Hopjan, Wojciech De Roeck, Lev Vidmar

“…In this paper, we connect this toy model to a well-studied model in random matrix theory, the ultrametric ensemble. We conjecture that the models share the following features. (1) The location of the critical point may be predicted sharply by analytics. (2) On the localized site, both models exhibit Fock space localization. (3) There is a manifold of critical points. …”
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Testing the criterion for correct convergence in the complex Langevin method by Keitaro Nagata, Jun Nishimura, Shinji Shimasaki

“…Here we demonstrate the usefulness of this criterion in two solvable theories with many dynamical degrees of freedom, i.e., two-dimensional Yang-Mills theory with a complex coupling constant and the chiral Random Matrix Theory for finite density QCD, which were studied by the CLM before. …”
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Coherence Analysis of Symmetric Star Topology Networks by Haiping Gao, Jian Zhu, Xing Chen, Long Zhang, Xianyong Li

“…Secondly, the first-order coherence of these networks are calculated by using matrix theory. The relationships among the first-order coherence of the network and branch length and the number of branches change are obtained by numerical simulation. …”
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New phase transitions in Chern–Simons matter theory by Ali Zahabi

“…Applying the machinery of random matrix theory and Toeplitz determinants we study the level k, U(N) Chern–Simons theory coupled with fundamental matter on S2×S1 at finite temperature T. …”
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A simultaneous sensing cum actuating microcantilever transducer for determination of single cell’s mechanical properties by Rezanda, Felicia

“…Simultaneous Sensing cum Actuating method applies a transduction matrix theory to define the measurement system which will allow an actuator to act as a sensor also. …”
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Mean square consensus control for second order multi-agent systems under fixed topologies and measurement noises by Liu, Xueling, Xu, Bugong, Xie, Lihua

“…Sufficient conditions were derived for all agents to reach consensus in mean square via algebraic graph theory, matrix theory and stochastic analysis approach, by constructing an appropriate Lyapunov function. …”
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The spectra of type IIB flux compactifications at large complex structure by Brodie, C, Marsh, M

“…We contrast these results with the expectations from the much-used continuous flux approximation, and comment on the applicability of Random Matrix Theory to the statistical modelling of the string theory landscape.…”

Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect by Mildenberger, A, Evers, F, Mirlin, A, Chalker, J

“…Finite size effects lead to superimposed oscillations, as expected from random matrix theory. In the thermal insulator and quantized thermal Hall conductor, we find that $\varrho(E)$ is finite at E=0. …”

A new R-matrix module for multi-channel calculations with GECCCOS by Srdinko Thomas, Leeb Helmut

“…In addition it provides a platform for the development of non-standard extensions of R-matrix theory such as Reduced R-matrix analyses and the Hybrid R-matrix. …”
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Cluster solutions in networks of weakly coupled oscillators on a 2D square torus by Jordan Michael Culp

“…Applying the Kronecker production representation and the circulant matrix theory, we develop a novel approach to analyze the stability of cluster solutions with constant phase difference (i.e., Ψh,Ψv are equal). …”
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Fully Distributed, Event-Triggered Containment Control of Multi-Agent Systems Based on Wireless Sensor Networks and Time Base Generators by Lei Wang, Guanwen Chen, Tai Li, Ruitian Yang

“…In addition, a time base generator (TBG) is added to ensure that the dwell time continues to be pre-specified and independent of initial conditions. Using matrix theory, the original system is transformed into an error system, and its stability is analyzed by the Lyapunov method. …”
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Fixed‐time stability of stochastic nonlinear systems and its application into stochastic multi‐agent systems by Jiaju Yu, Shuanghe Yu, Yan Yan

“…Based on graph theory, matrix theory and fixed‐time stability theorem, we prove that fixed‐time consensus of SMASs is achieved under the designed protocol. …”
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The Loschmidt spectral form factor by Michael Winer, Brian Swingle

“…We calculate λ in a number of cases, including random matrix theory, theories with a single localized defect, and hydrodynamic theories.…”
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Entanglement entropy production in Quantum Neural Networks by Marco Ballarin, Stefano Mangini, Simone Montangero, Chiara Macchiavello, Riccardo Mengoni

“…We certify the randomness of the quantum states also by measuring the expressibility of the circuits, as well as using tools from random matrix theory. We show a universal behavior for the rate at which entanglement is created in any given QNN architecture, and consequently introduce a new measure to characterize the entanglement production in QNNs: the entangling speed. …”
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Inflation as an information bottleneck: a strategy for identifying universality classes and making robust predictions by Mafalda Dias, Jonathan Frazer, Alexander Westphal

“…We first test our approach by applying it to well known examples of universality, sharp transitions, and concentration phenomena in random matrix theory. We then apply the method to inflation with axion monodromy. …”
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