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New Insights Into the Estimation of Scaling Exponents
International Journal of Wavelets, Multiresolution and Information Processing, 2004We study the statistical performance of multiresolution-based estimation procedures for the scaling exponents of multifractal processes. These estimators rely on the computation of multiresolution quantities such as wavelet, increment or aggregation coefficients.
Patrice Abry, Pierre Chainais
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Scaling functions and scaling exponents in turbulence
Physical Review E, 1993We extend the recent work of Sirovich, Smith, and Yakhot (unpublished) and obtain for structure functions of arbitrary order an expression that is uniformly valid for the dissipation as well as the inertial range of scales. We compare the expression with experimental data obtained in a moderate-Reynolds-number turbulent boundary layer and find good ...
, Stolovitzky, , Sreenivasan, , Juneja
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On the scaling exponent of binary polarization kernels
2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2014It is well known that polar coding achieves capacity, but it is so far unknown exactly how fast polar codes approach channel capacity as a function of their blocklength. More precisely, let us fix a binary-input memoryless symmetric channel W of capacity I(W) and a desired probability of error P e .
Arman Fazeli, Alexander Vardy
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Scaling Exponent and Dispersity of Polymers in Solution by Diffusion NMR [PDF]
Molecular mass distribution measurements by pulsed gradient spin echo nuclear magnetic resonance (PGSE NMR) spectroscopy currently require prior knowledge of scaling parameters to convert from polymer self-diffusion coefficient to molecular mass ...
Stanley J Miklavcic +2 more
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Scaling exponents in nonisotropic convective turbulence
Physical Review Letters, 1989A dynamical theory for the structure functions in convective turbulence at high Rayleigh numbers is presented. A range of scales is identified in which buoyancy forces dominate and the scaling exponents differ significantly from isotropic turbulence. A crossover to Kolmogorov-type scaling is predicted as a function of the Rayleigh number.
, Procaccia, , Zeitak
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Scaling exponents in thermally driven turbulence
Physical Review A, 1990The scaling exponents of two-point correlation functions in nonisotropic convective turbulence are evaluated on the basis of the Boussinesq equations. The scaling indices differ significantly from Kolmogorov's scaling for isotropic turbulence. The physical reason for this difference is the length dependent buoyancy forcing in this case, in contrast to ...
, Procaccia, , Zeitak
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Scaling exponents estimation for multiscaling processes
2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004We study the statistical performance of multiresolution (wavelet based) estimators commonly used for the estimation of the scaling exponents, /spl zeta/(q), of multifractal processes. So far, such studies have been conducted exclusively using the celebrated Mandelbrot's cascades.
Bruno Lashermes +2 more
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Scaling Exponents for Active Scalars
Journal of Statistical Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tricritical Exponents and Scaling Fields
Physical Review Letters, 1972The tricritical behavior of a classical three-well-potential model for two-component systems (such as ${\mathrm{He}}^{3}$-${\mathrm{He}}^{4}$ mixtures) is discussed by using renormalization-group techniques. The tricritical exponents and scaling fields are calculated for three dimensions.
Eberhard K. Riedel, Franz J. Wegner
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Scaling of fluctuations and critical exponents
Journal of Statistical Physics, 1996We present a new technique to describe the abnormal behavior of certain fluctuation observables in the critical regime of quantum statistical systems which undergo a phase transition. The idea is to rescale the local fluctuation operators by a relevant external parameter of the system, in addition to the usual scaling with the inverse square root of ...
M. Broidioi, M. Van Canneyt
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