Results 21 to 30 of about 6,267 (199)
Proceedings of the American Mathematical Society, 1955 Summary: Der Verf weist einleitend darauf hin, daß das Haar-Integral auf kompakten Gruppen, Vektor-Gruppen und diskreten Gruppen durch verhältnismäßig einfache, wohl bekannte Operationen erhalten wird. In Verallgemeinerung eines entsprechenden Satzes von \textit{G. D. Mostow} über Lie-Gruppen [Am. J. Math. 74, 920--928 (1952; Zbl 0049.35801)] und unter
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Motivic Haar Measure on Reductive Groups [PDF]
, 2006 We define a motivic analogue of the Haar measure for groups of the form G(k((t))), where k is an algebraically closed field of characteristic zero, and G is a reductive algebraic group defined over k.
Julia Gordon
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Probability density functions for CP-violating rephasing invariants
Nuclear Physics B, 2018 The implications of the anarchy principle on CP violation in the lepton sector are investigated. A systematic method is introduced to compute the probability density functions for the CP-violating rephasing invariants of the PMNS matrix from the Haar ...
Jean-François Fortin +2 more
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PLoS ONE, 2021 The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose.
Sidra Saleem +2 more
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Exact distinguishability between real-valued and complex-valued Haar random quantum states [PDF]
QuantumHaar random states are fundamental objects in quantum information theory and quantum computing. We study the density matrix resulting from sampling $t$ copies of a $d$-dimensional quantum state according to the Haar measure on the orthogonal group.
Tristan Nemoz +2 more
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A Generalized Discrete Bohr–Jessen-Type Theorem for the Epstein Zeta-Function
Mathematics, 2023 Suppose that Q is a positive defined n×n matrix, and Q[x̲]=x̲TQx̲ with x̲∈Zn. The Epstein zeta-function ζ(s;Q), s=σ+it, is defined, for σ>n2, by the series ζ(s;Q)=∑x̲∈Zn∖{0̲}(Q[x̲])−s, and it has a meromorphic continuation to the whole complex plane. Let
Antanas Laurinčikas, Renata Macaitienė
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Quaternions, Haar Measure and the Estimation of a Palaeomagnetic Rotation [PDF]
, 1975 Representing a rotation in three dimensions by a unit tensor quaternion and supposing that the errors in the measurements of a number of vector directions follow Fisher's distribution, the maximum likelihood estimator of a rotation is obtained.
P. A. P. Moran
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The Haar measure in solid mechanics [PDF]
International audienceThis article addresses the overlooked but crucial role of the Haar measure in solid mechanics, a concept well-established in mathematical literature but frequently misunderstood by mechanicians.
Kolev, Boris, Ecker, Clément
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A modification of Hardy-Littlewood maximal function on Lie groups [PDF]
AUT Journal of Mathematics and ComputingFor a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
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On the distribution of the mean energy in the unitary orbit of quantum states [PDF]
Quantum, 2021 Given a closed quantum system, the states that can be reached with a cyclic process are those with the same spectrum as the initial state. Here we prove that, under a very general assumption on the Hamiltonian, the distribution of the mean extractable ...
Raffaele Salvia, Vittorio Giovannetti
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