Stability of the Poincaré–Korn Inequality
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DOI: 10.1007/s00205-025-02127-7
Abstract: We resolve a question of Carrapatoso et al. (Arch Ration Mech Anal 243(3):1565–1596, 2022) on Gaussian optimality for the sharp constant in Poincaré-Korn inequalities, under a moment constraint. We also prove stability, showing that measures… read more here.
Keywords: korn inequality; stability poincar; poincar; poincar korn ... See more keywords
Poincaré’s stated motivations for topology
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DOI: 10.1007/s00407-020-00247-y
Abstract: It is well known that one of Poincaré’s most important contributions to mathematics is the creation of algebraic topology. In this paper, we examine carefully the stated motivations of Poincaré and potential applications he had… read more here.
Keywords: poincar; mathematics; topology; poincar stated ... See more keywords
From Jurisprudence to Mechanics: Jacobi, Reech, and Poincaré on Convention
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DOI: 10.1017/s0269889718000170
Abstract: Argument This paper aims at understanding the concept of convention in mechanics as a notion transferred from the field of jurisprudence. This enables us to clarify it as a new epistemic category having a pertinent… read more here.
Keywords: poincar; convention; mechanics jacobi; jurisprudence mechanics ... See more keywords
The reasonable effectiveness of contours in vision
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2215097119
Abstract: In a Matisse cutout, such as “Blue Nude I” (Fig. 1), the limbs appear to have volumes despite clearly being made of flat sheets of uniformly blue paper glued to a flat cream background. The… read more here.
Keywords: information; points surface; viewpoint; poincar ... See more keywords
Information scrambling and chaos induced by a Hermitian matrix
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DOI: 10.1088/1751-8121/ad6f7c
Abstract: Given an arbitrary V × V Hermitian matrix H, considered as a finite discrete quantum Hamiltonian, we use methods from graph and ergodic theories to construct a quantum Poincaré map at energy E and a corresponding stochastic… read more here.
Keywords: information; poincar; hermitian matrix; information scrambling ... See more keywords
Optical forces on atoms subject to higher-order Poincaré vortex modes
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DOI: 10.1103/physreva.111.013520
Abstract: The interaction of atoms with higher-order Poincar\'e optical vortex modes of order $m\geq 0$ is explored for light close to resonance with atomic dipole transitions. It is well-known that atoms subject to optical vortex modes… read more here.
Keywords: higher order; vortex modes; order poincar; poincar ... See more keywords
Quaternion generalization of super-Poincaré group
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x19500064
Abstract: Super-Poincaré algebra in [Formula: see text] space–time dimensions has been studied in terms of quaternionic representation of Lorentz group. Starting the connection of quaternion Lorentz group with [Formula: see text] group, the [Formula: see text]… read more here.
Keywords: poincar; super poincar; poincar group; formula see ... See more keywords
Weak Poincaré inequalities for convolution probabilities measures
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DOI: 10.1142/s021902571950019x
Abstract: In this paper, weak Poincaré inequalities are obtained for convolution probabilities with explicit rate functions by constructing suitable Lyapunov functions. Here, one of these Lyapunov functions is introduced for the first time and can be… read more here.
Keywords: poincar; inequalities convolution; weak poincar; convolution probabilities ... See more keywords
Abstract 066: Nonlinear Analysis of 24-Hour Blood Pressure in Relation to Cognitive Impairment and Dementia
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DOI: 10.1161/hyp.82.suppl_1.066
Abstract: Introduction: Although vascular dysregulation is emerging as a contributor to the pathophysiology of Alzheimer’s disease and related disorders (ADRD), studies have focused on linear variability, which limits evaluating dynamics and regulation of temporal vascular signals.… read more here.
Keywords: cognitive impairment; analysis; poincar; impairment ... See more keywords
All-fiber generation and Poincaré sphere representation of double superposition states of OAM modes.
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DOI: 10.1364/oe.558681
Abstract: This paper proposes a hybrid-order orbital angular momentum Poincaré sphere to refine the representation of high-order spatial modes. The orbital angular momentum Poincaré sphere is extended to a more general form. Benefiting from the degenerate… read more here.
Keywords: generation; representation; hybrid order; poincar ... See more keywords
Rational first integrals of the Liénard equations: The solution to the Poincaré problem for the Liénard equations.
Sign Up to like & getrecommendations! Published in 2021 at "Anais da Academia Brasileira de Ciencias"
DOI: 10.1590/0001-3765202120191139
Abstract: Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class… read more here.
Keywords: poincar; equations solution; first integrals; rational first ... See more keywords