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pro vyhledávání: '"Weinstein, Alan"'
Autor:
Weinstein, Alan
We extend the work in a previous paper with David Li-Bland to construct the Wehrheim-Woodward category WW(GSLREL) of equivariant linear canonical relations between linear symplectic G-spaces for a compact group G. When G is the trivial group, this re
Externí odkaz:
http://arxiv.org/abs/2408.06363
Autor:
Dherin, Benoit, Weinstein, Alan
We introduce a special family of distributional alpha-densities and give a transversality criterion stating when their product is defined, closely related to Hormander's criterion for general distributions. Moreover, we show that for the subspace of
Externí odkaz:
http://arxiv.org/abs/2402.11854
Autor:
Li, Alvin K. Y., Chan, Juno C. L., Fong, Heather, Chong, Aidan H. Y., Weinstein, Alan J., Ezquiaga, Jose M.
Strong gravitational lensing can produce copies of gravitational-wave signals from the same source with the same waveform morphologies but different amplitudes and arrival times. Some of these strongly-lensed gravitational-wave signals can be demagni
Externí odkaz:
http://arxiv.org/abs/2311.06416
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two of the authors for presymplectic manifolds. As in the presymplectic case, our definition, involving a vector bundle connection on the Lie algebroid, r
Externí odkaz:
http://arxiv.org/abs/2304.03503
Publikováno v:
Phys. Rev. D 107, 122002 (2023)
A stochastic gravitational-wave (GW) background consists of a large number of weak, independent and uncorrelated events of astrophysical or cosmological origin. The GW power on the sky is assumed to contain anisotropies on top of an isotropic compone
Externí odkaz:
http://arxiv.org/abs/2211.10010
Publikováno v:
Pure and Applied Mathematics Quarterly, Vol. 19, No. 4 (2023), pp. 1733-1777
We construct a Lie-Rinehart algebra over an infinitesimal extension of the space of initial value fields for Einstein's equations. The bracket relations in this algebra are precisely those of the constraints for the initial value problem. The Lie-Rin
Externí odkaz:
http://arxiv.org/abs/2201.02883
Publikováno v:
Phys. Rev. D 105, 024066 (2022)
The detection of gravitational waves from compact binary coalescence by Advanced LIGO and Advanced Virgo provides an opportunity to study the strong-field, highly relativistic regime of gravity. Gravitational-wave tests of general relativity (GR) typ
Externí odkaz:
http://arxiv.org/abs/2109.07642
Autor:
Sun, Ling, Goetz, Evan, Kissel, Jeffrey S., Betzwieser, Joseph, Karki, Sudarshan, Bhattacharjee, Dripta, Covas, Pep B., Datrier, Laurence E. H., Kandhasamy, Shivaraj, Lecoeuche, Yannick K., Mendell, Gregory, Mistry, Timesh, Payne, Ethan, Savage, Richard L., Viets, Aaron, Wade, Madeline, Weinstein, Alan J., Aston, Stuart, Cahillane, Craig, Driggers, Jennifer C., Dwyer, Sheila E., Urban, Alexander
We present the probability distribution of the systematic errors in the most accurate, high-latency version of the reconstructed dimensionless strain $h$, at the Hanford and Livingston LIGO detectors, used for gravitational-wave astrophysical analysi
Externí odkaz:
http://arxiv.org/abs/2107.00129
Publikováno v:
Pacific J. Math. 312 (2021) 355-399
We construct a special class of semiclassical Fourier integral operators whose wave fronts are symplectic micromorphisms. These operators have very good properties: they form a category on which the wave front map becomes a functor into the cotangent
Externí odkaz:
http://arxiv.org/abs/2007.08167
Autor:
Sun, Ling, Goetz, Evan, Kissel, Jeffrey S., Betzwieser, Joseph, Karki, Sudarshan, Viets, Aaron, Wade, Madeline, Bhattacharjee, Dripta, Bossilkov, Vladimir, Covas, Pep B., Datrier, Laurence E. H., Gray, Rachel, Kandhasamy, Shivaraj, Lecoeuche, Yannick K., Mendell, Gregory, Mistry, Timesh, Payne, Ethan, Savage, Richard L., Weinstein, Alan J., Aston, Stuart, Buikema, Aaron, Cahillane, Craig, Driggers, Jenne C., Dwyer, Sheila E., Kumar, Rahul, Urban, Alexander
The raw outputs of the detectors within the Advanced Laser Interferometer Gravitational-Wave Observatory need to be calibrated in order to produce the estimate of the dimensionless strain used for astrophysical analyses. The two detectors have been u
Externí odkaz:
http://arxiv.org/abs/2005.02531