Directional drift in biologically meaningful vector planes: A proposed geometric framework for early detection of subthreshold disease. [PDF]
Prakash G.
europepmc +1 more source
Pigeon-Inspired Depth-Reasoning-Driven Decision Framework for Autonomous Traversal Flight of Quadrotors in Unmapped 3D Spaces. [PDF]
Sun Y, Su R.
europepmc +1 more source
A Possibility-Space Derivation of a Planck-Softened Correlation Kernel for Holographic Entropy Deficit. [PDF]
Adair A.
europepmc +1 more source
Surrogate Modeling of Resonant Behavior in Scattering Problems Through Adaptive Rational Approximation and Sketching. [PDF]
Pradovera D, Hiptmair R, Perugia I.
europepmc +1 more source
The Hopf Algebra of Fliess Operators and Its Dual Pre-Lie Algebra [PDF]
31 pages, third versionInternational audienceWe study the Hopf algebra H of Fliess operators coming from Control Theory in the one-dimensional case. We prove that it admits a graded, finte-dimensional, connected gradation.
Loïc Foissy
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The Universal Pre-Lie–Rinehart Algebras of Aromatic Trees [PDF]
20 pages, improvements and clarifications added, 1 ...
Dominique Manchon
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On the Lie Enveloping Algebra of a Pre-Lie Algebra [PDF]
AbstractWe construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. It turns S(L) into a Hopf algebra which is isomorphic to the enveloping algebra of LLie. Then we prove that in the case of rooted trees our construction gives the Grossman-Larson Hopf algebra, which is known to be the dual of the Connes-Kreimer Hopf ...
Oudom, Jean-Michel, Guin, Daniel
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Quasi-pre-Lie bialgebras and twisting of pre-Lie algebras
Journal of Algebra and Its Applications, 2023Given a (quasi-)twilled pre-Lie algebra, we first construct a differential graded Lie algebra ([Formula: see text]-algebra). Then we study the twisting theory of (quasi-)twilled pre-Lie algebras and show that the result of the twisting by a linear map on a (quasi-)twilled pre-Lie algebra is also a (quasi-)twilled pre-Lie algebra if and only if the ...
Wang, Qi, Liu, Jiefeng
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