Results 31 to 40 of about 237,467 (314)
Spectral density of individual trajectories of an active Brownian particle
New Journal of Physics, 2022 We study analytically the single-trajectory spectral density (STSD) of an active Brownian motion (BM) as exhibited, for example, by the dynamics of a chemically-active Janus colloid. We evaluate the standardly-defined spectral density, i.e.
Alessio Squarcini +2 more
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Dynamic Features of Spectra of Single and Quasi-Periodic Measuring Signals
Приборы и методы измерений, 2022 Solving the problems of spectral processing of single and quasi-periodic signals in measurement and diagnostic systems is directly related to their isolation against the background of external interference or noise.
U. V. Suchodolov +2 more
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Hyponormal Operators and Spectral Density [PDF]
Transactions of the American Mathematical Society, 1965 Introduction. We say an operator T on a Hilbert space H is hyponormal if Tx || > || T*x || for xeH, or equivalently T*T-TT* > 0. In this paperwe will first examine some general properties of hyponormal operators. Then we restrict our interest to hyponormal operators with "thin" spectra.
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The limiting spectral distribution in terms of spectral density [PDF]
Random Matrices: Theory and Applications, 2016 For a large class of symmetric random matrices with correlated entries, selected from stationary random fields of centered and square integrable variables, we show that the limiting distribution of eigenvalue counting measure always exists and we describe it via an equation satisfied by its Stieltjes transform.
Costel Peligrad, Magda Peligrad
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Spectrum Concentration in Deep Residual Learning: A Free Probability Approach
IEEE Access, 2019 We revisit the weight initialization of deep residual networks (ResNets) by introducing a novel analytical tool in free probability to the community of deep learning.
Zenan Ling, Robert C. Qiu
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Density of states in spectral geometry
Commentarii Mathematici Helvetici, 1993 It is well known that the concept of integrated density of states was introduced by physicists in quantum theory of solids. In the paper under review a geometrical formalization of this notion is proposed and for the particular case of the manifolds with compact quotient some necessary and sufficient conditions for its existence are pointed out.
Toshikazu Sunada +3 more
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On the spectral density of the Wilson operator [PDF]
Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011), 2012 We summarize our recent determination [1] of the spectral density of the Wilson operator in the p-regime of Wilson chiral perturbation theory. We discuss the range of validity of our formula and a possible extension to our computation in order to better understand the behaviour of the spectral density in a finite volume close to the threshold.
Andrea Shindler, Silvia Necco
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Журнал Белорусского государственного университета: Математика, информатика, 2019 The article proposes a new method for determining the number of splitting intervals and the number of observations in them when building estimates of the spectral densities of stationary random processes with a given accuracy over intersecting ...
Natalia V. Semenchuk
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A Sieve Method for the Spectral Density
The Annals of Statistics, 1985 A real stationary Gaussian stochastic sequence with absolutely continuous spectral density f is considered. Let \(L_ n(f)\) be the Toeplitz approximation of its likelihood functional based on a sample of size n [cf. the second author and \textit{G. Szegö}, Toeplitz forms and their applications. (1958; Zbl 0080.095)].
Chow, Yun-Shyong, Grenander, Ulf
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Spectral densities from the lattice [PDF]
Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013), 2014 We discuss a method to extract the K ll n-Lehmann spectral density of a particle (be it elementary or bound state) propagator by means of 4d lattice data. We employ a linear regularization strategy, commonly known as the Tikhonov method with Morozov discrepancy principle.
Paulo J. Silva +2 more
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