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Affine invariant conditions for a class of differential polynomial cubic systems
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this article the affine invariant criteria constructed in terms of algebraic polynomials with coefficients $\tilde a \in \mathcal R^{20}$ for a class of cubic systems are established.
Cristina Bujac
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Polynomial Invariants for Affine Programs [PDF]
Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, 2018 We exhibit an algorithm to compute the strongest polynomial (or algebraic) invariants that hold at each location of a given affine program (i.e., a program having only non-deterministic (as opposed to conditional) branching and all of whose assignments are given by affine expressions). Our main tool is an algebraic result of independent interest: given
Hrushovski, Ehud +3 more
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Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials
Forum of Mathematics, Pi, 2023 AbstractIterating the skew RSK correspondence discovered by Sagan and Stanley in the late 1980s, we define deterministic dynamics on the space of pairs of skew Young tableaux$(P,Q)$. We find that these skew RSK dynamics display conservation laws which, in the picture of Viennot’s shadow line construction, identify generalizations of Greene invariants ...
Imamura, Takashi +2 more
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Model-Based Reinforcement Learning via Stochastic Hybrid Models
IEEE Open Journal of Control Systems, 2023 Optimal control of general nonlinear systems is a central challenge in automation. Enabled by powerful function approximators, data-driven approaches to control have recently successfully tackled challenging applications.
Hany Abdulsamad, Jan Peters
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Entropy, 2022 The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for a symplectic manifold where a Lie group has a Hamiltonian action.
Frédéric Barbaresco
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Uncertainty Quantification of GEKO Model Coefficients on Compressible Flows
International Journal of Aerospace Engineering, 2021 In the present work, supersonic flows over an axisymmetric base and a 24-deg compression ramp are investigated using the generalized k-ω (GEKO) model implemented in the commercial software, ANSYS FLUENT.
Yeong-Ki Jung +2 more
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Computing knots by quadratic and cubic polynomial curves
Computational Visual Media, 2020 A new method is presented to determine parameter values (knot) for data points for curve and surface generation. With four adjacent data points, a quadratic polynomial curve can be determined uniquely if the four points form a convex polygon.
Fan Zhang +3 more
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AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS [PDF]
Journal of Knot Theory and Its Ramifications, 2013 This paper describes a polynomial invariant of virtual knots that is defined in terms of an integer labeling of the virtual knot diagram. This labeling is seen to derive from an essentially unique structure of affine flat biquandle for flat virtual diagrams.
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Every locally characterized affine-invariant property is testable [PDF]
, 2013 Let F = F_p for any fixed prime p >= 2. An affine-invariant property is a property of functions on F^n that is closed under taking affine transformations of the domain.
Bhattacharyya, Arnab +4 more
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Intersection of valuation rings in $k[x,y]$ [PDF]
, 2014 We associate to any given finite set of valuations on the polynomial ring in two variables over an algebraically closed field a numerical invariant whose positivity characterizes the case when the intersection of their valuation rings has maximal ...
Xie, Junyi
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