Results 61 to 70 of about 39,911 (195)
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
The purpose of this paper is to study nonabelian embedding tensors on 3-Lie algebras, and to explore the fundamental algebraic structures, cohomology and deformations associated with them.
Wen Teng, Xiansheng Dai
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Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
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A general approach to the linear stability of viscoelastic shear‐flows
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
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Calculations on Lie Algebra of the Group of Affine Symplectomorphisms
We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
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Entropy as a Metric Generator of Dissipation in Complete Metriplectic Systems
This lecture is a short review on the role entropy plays in those classical dissipative systems whose equations of motion may be expressed via a Leibniz Bracket Algebra (LBA). This means that the time derivative of any physical observable f of the system
Massimo Materassi
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The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
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Algebraic deformation quantization of Leibniz algebras [PDF]
30 pages. This is the part on deformation quantization from the old version of arXiv:1412.5907 which was split during ...
Alexandre, Charles +3 more
openaire +2 more sources
Newton’s insight that “the rays are not colored” anticipated a constructivist view of perception in which physical stimuli provide input but perceptual qualities arise from neural processing. Framed by Newton’s view, early sensory psychology and modern neuroscience converged on the conclusion that color is an internally generated percept, shaped by ...
Billy R. Wooten, Billy R. Hammond
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Higher Dimensional Leibniz-Rinehart Algebras
In this article, we delve into the realm of higher dimensional Leibniz-Rinehart algebras, exploring the intricate structures of Leibniz algebroids and their applications.
Mahmut Koçak, Selim Çetin
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