Spectral form factor of quadratic R-para-particle SYK model with random matrix coupling
Journal of High Energy PhysicsThis paper investigates the spectral form factor (SFF) of the quadratic R-para-particle Sachdev-Ye-Kitaev (R-PSYK2) model with various random matrix ensemble couplings. We generalize previous work on Gaussian Unitary Ensemble (GUE) couplings to all three
Tingfei Li
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Evaluating the Contributions of Individual Variables to a Quadratic Form. [PDF]
Aust N Z J Stat, 2016 Garthwaite PH, Koch I.
europepmc +1 more source
On the Composition of Quadratic Forms [PDF]
Proceedings of the National Academy of Sciences, 1947 openaire +3 more sources
Nonreciprocal Swarmalators With Reconfigurable and Controllable Formations for Robot Collectives
Advanced Robotics Research, EarlyView.Nonreciprocal swarmalator interactions are enabled through control barrier functions to transform self‐organizing robot collectives into reconfigurable, constraint‐aware systems. Complex two‐ and three‐dimensional shapes, continuous morphing, obstacle‐aware navigation, collective splitting, and object transport emerge from modulating agent‐level ...
Kush Patel +3 more
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Parametric Transformation of a Quadratic Functional in a Linear Control System
Известия Иркутского государственного университета: Серия "Математика"A linear-quadratic problem on a set of piecewise linear controls is considered. The control quality criterion is determined by indefinite matrices and contains control parameters for quadratic forms.
V.A. Srochko, E.V. Aksenyushkina
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Hermitian Forms and Systems of Quadratic Forms
Documenta Mathematica, 2018 We associate to every symmetric (antisymmetric) Hermitian form a system of quadratic forms over the base field which determines its isotropy and metabolicity behaviour. It is shown that two even Hermitian forms are isometric if and only if their associated systems are equivalent.
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Feedback Nash Equilibria for Linear Quadratic Descriptor Differential Games [PDF]
In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite.
Salmah, Y., Engwerda, J.C.
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Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
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Solutions of several general quadratic partial differential-difference equations in ℂ2
Demonstratio MathematicaIn this article, we have introduced general transformation to solving the general quadratic equations. It is of interest to know about the existence and form of the solutions of general quadratic functional equations.
Ahamed Molla Basir, Mandal Sanju
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Generating functions and short recursions, with applications to the moments of quadratic forms in noncentral normal vectors [PDF]
Using generating functions, the top-order zonal polynomials that occur in much distribution theory under normality can be recursively related to other symmetric functions (power-sum and elementary symmetric functions, Ruben, Hillier, Kan, and Wang ...
Grant Hillier, Xiaolu Wang, Raymond Kan
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