Results 1 to 10 of about 155,102 (233)
Fractional Moment Estimates for Random Unitary Operators [PDF]
Letters in Mathematical Physics, 2004 We consider unitary analogs of $d-$dimensional Anderson models on $l^2(\Z^d)$ defined by the product $U_\omega=D_\omega S$ where $S$ is a deterministic unitary and $D_\omega$ is a diagonal matrix of i.i.d. random phases. The operator $S$ is an absolutely
A. Joye +11 more
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Fractional impurity moments in two-dimensional non-collinear magnets [PDF]
Physical Review Letters, 2011 We study dilute magnetic impurities and vacancies in two-dimensional frustrated magnets with non-collinear order. Taking the triangular-lattice Heisenberg model as an example, we use quasiclassical methods to determine the impurity contributions to the ...
Fritz, Lars +2 more
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Fractional moments of the stochastic heat equation [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2021 Consider the solution $\mathcal{Z}(t,x)$ of the one-dimensional stochastic heat equation, with a multiplicative spacetime white noise, and with the delta initial data $\mathcal{Z}(0,x) = (x)$. For any real $p>0$, we obtained detailed estimates of the $p$-th moment of $e^{t/12}\mathcal{Z}(2t,0)$, as $t\to\infty$, and from these estimates establish ...
Das, Sayan, Tsai, Li-Cheng
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Hausdorff moment problem via fractional moments [PDF]
Applied Mathematics and Computation, 2003 We outline an efficient method for the reconstruction of a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained resorting to maximum entropy technique, under the constraint of some fractional moments. The latter ones are obtained explicitly in terms of the infinite sequence of
Novi Inverardi, Pier Luigi +3 more
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Integral Transforms and Special Functions, 2022 We evaluate the moments of some functions composed with the fractional part of $1/x$. We name them fractional moments. In particular, we obtain expressions for the fractional moments of some trigonometric functions, the Bernoulli polynomials and the functions $x^m$ and $x^m(1-x)^m$.
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On fractional Fourier transform moments [PDF]
IEEE Signal Processing Letters, 2000 Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
Alieva, T., Bastiaans, M.J.
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The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps [PDF]
, 2018 We study a general class of discrete $p$-Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem, we show that under the assumption of bounded first moments and a ...
Flegel, Franziska, Heida, Martin
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Aging and Rejuvenation with Fractional Derivatives [PDF]
, 2004 We discuss a dynamic procedure that makes the fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. We find that two-state fluctuations, with an inverse power-law distribution of waiting times, finite first moment and ...
B. J. West +8 more
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Fractional Spectral Moments for Digital Simulation of Multivariate Wind Velocity Fields [PDF]
, 2011 In this paper, a method for the digital simulation of wind velocity fields by Fractional Spectral Moment function is proposed. It is shown that by constructing a digital filter whose coefficients are the fractional spectral moments, it is possible to ...
Cottone, Giulio, Di Paola, Mario
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Fractional moment bounds and disorder relevance for pinning models [PDF]
, 2007 We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(.) of the location of the first contact of the (free) polymer with the defect line is assumed to be of the form K(n)=n^{-\alpha-1}L(n), with L ...
A. Garsia +26 more
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