Thus, for the ﬁrst time, the 2MRS enables the determination the con vergence of the ﬂux dipole as a function of distance.
The Dipole Anisotropy of the 2 Micron All-Sky Redshift Survey
But the latter converges for vergence that is ≥ 1 all real t, hence so does Pr βr tr /r !, and the distribution of Ph∈H (d,L) hZ1/Lh is determined by its moments.
Words Maps and Spectra of Random Graph Lifts
As indicated by the scales in the x-axis and the functions in the corresponding panels, the expected Ising logarithmic divergence has been assumed for the pure model C ∗ = C1 + C2 ln L, whereas the double-logarithmic diav = C1 + C2 ln(ln L) has been assumed for vergence [C ]∗ the random version.
Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
Umeno, “Superposition of chaotic processes with con vergence to L ´evy stable law ” Phys.
Chaotic Method for Generating q-Gaussian Random Variables
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