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Cumulants, free cumulants and half-shuffles [PDF]
Free cumulants were introduced as the proper analogue of classical cumulants in the theory of free probability. There is a mix of similarities and differences, when one considers the two families of cumulants. Whereas the combinatorics of classical cumulants is well expressed in terms of set partitions, that of free cumulants is described and often ...
Ebrahimi-Fard, Kurusch +1 more
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37 pages, 27 ...
Yannis Pantazis +4 more
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On the Combinatorics of Cumulants
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Gian-Carlo Rota, Jianhong Shen
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Convergence Characteristics of the Cumulant Expansion for Fourier Path Integrals [PDF]
The cumulant representation of the Fourier path integral method is examined to determine the asymptotic convergence characteristics of the imaginary-time density matrix with respect to the number of path variables $N$ included. It is proved that when the
David L. Freeman +10 more
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Temperature dependent third cumulant of tunneling noise [PDF]
Poisson statistics predicts that the shot noise in a tunnel junction has a temperature independent third cumulant e^2\I, determined solely by the mean current I. Experimental data, however, show a puzzling temperature dependence.
Beenakker, C. W. J. +2 more
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Multidimensional limit theorems for homogeneous sums: a general transfer principle [PDF]
The aim of the present paper is to establish the multidimensional counterpart of the \textit{fourth moment criterion} for homogeneous sums in independent leptokurtic and mesokurtic random variables (that is, having positive and zero fourth cumulant ...
Nourdin, Ivan +3 more
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Analysis of Cumulant Moments in High Energy Hadron-Hadron Collisions by Truncated Multiplicity Distributions [PDF]
Oscillatory behavior of cumulant moments obtained from the experimental data in $pp$ collisions and $\bar{p}p$ collisions are analyzed by the modified negative binomial distribution (MNBD) and the negative binomial distribution (NBD).
A. Breakstone +16 more
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Full counting statistics of chiral Luttinger liquids with impurities [PDF]
We study the statistics of charge transfer through an impurity in a chiral Luttinger liquid (realized experimentally as a quantum point contact in a fractional quantum Hall edge state device).
A. Komnik +5 more
core +1 more source
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Giovanni Pistone, Henry P. Wynn
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