Gravitational memory in higher dimensions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2018)138
Abstract: A bstractIt is shown that there is a universal gravitational memory effect measurable by inertial detectors in even spacetime dimensions d ≥ 4. The effect falls off at large radius r as r3−d. Moreover this… read more here.
Keywords: gravitational memory; memory higher; effect; higher dimensions ... See more keywords
Pyramid Ricci flow in higher dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02472-1
Abstract: In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold $$(M^n,g_0)$$ ( M n , g 0 ) that is PIC1, or more generally satisfies a lower curvature bound $${\mathrm… read more here.
Keywords: ricci flow; flow higher; pyramid ricci; higher dimensions ... See more keywords
Refined and Microlocal Kakeya–Nikodym Bounds of Eigenfunctions in Higher Dimensions
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-2977-8
Abstract: We prove a Kakeya–Nikodym bound on eigenfunctions and quasimodes, which sharpens a result of the authors (Blair and Sogge in Anal PDE 8:747–764, 2015) and extends it to higher dimensions. As in the prior work,… read more here.
Keywords: kakeya nikodym; higher dimensions; microlocal kakeya; refined microlocal ... See more keywords
Nonlocal operators with local boundary conditions in higher dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9624-6
Abstract: We present novel nonlocal governing operators in 2D/3D for wave propagation and diffusion. The operators are inspired by peridynamics. They agree with the original peridynamics operator in the bulk of the domain and simultaneously enforce… read more here.
Keywords: operators local; local boundary; boundary conditions; nonlocal operators ... See more keywords
Adaptive sampling in higher dimensions for point-wise experimental measurement techniques
Sign Up to like & getrecommendations! Published in 2018 at "Measurement Science and Technology"
DOI: 10.1088/1361-6501/aac9da
Abstract: When performing point-wise measurements within a pre-defined domain, the experimentalist is faced with the problem of defining the spatial locations where to collect data based on an a priori unknown underlying signal. While structured sampling… read more here.
Keywords: adaptive sampling; sampling higher; point wise; measurement ... See more keywords
$z-$Weyl gravity in higher dimensions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2017/09/024
Abstract: We consider higher dimensional gravity in which the four dimensional spacetime and extra dimensions are not treated on an equal footing. The anisotropy is implemented in the ADM decomposition of higher dimensional metric by requiring… read more here.
Keywords: gravity higher; weyl gravity; four dimensional; higher dimensions ... See more keywords
Classical ultrarelativistic bremsstrahlung in higher dimensions
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x20400254
Abstract: We consider the classical bremsstrahlung of an ultrarelativistic point-like particle on potential, generated by the free infinite Nambu-Goto object (p-brane). For simplicity, the interaction is sup... read more here.
Keywords: classical ultrarelativistic; bremsstrahlung higher; bremsstrahlung; higher dimensions ... See more keywords
On Complex Numbers in Higher Dimensions
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DOI: 10.3390/axioms11010022
Abstract: The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is continued… read more here.
Keywords: complex numbers; numbers higher; higher dimensions;
Higher dimensions opial diamond-alpha inequalities on time scales
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2021-15-72
Abstract: In this paper, we generalize Opial inequality to higher dimensions on time scales. We prove the Opial Delta-nabla inequality of n variables, and then give two diamond-alpha dynamic inequalities of Opial type of n variables.… read more here.
Keywords: time scales; dimensions opial; higher dimensions; diamond alpha ... See more keywords