Nonquantum information gain from higher-order correlation functions

Non-Poisson dichotomous noise: higher-order correlation functions and aging.

We study a two-state symmetric noise, with a given waiting time distribution psi (tau) , and focus our attention on the connection between the four-time and two-time correlation functions. The transition of psi (tau) from the exponential to the nonexponential condition yields the breakdown of the usual factorization condition of high-order correlation functions, as well as the birth of aging ef...

The 2dF Galaxy Redshift Survey: Higher order galaxy correlation functions

We measure moments of the galaxy count probability distribution function in the two-degree field galaxy redshift survey (2dFGRS). The survey is divided into volume limited subsamples in order to examine the dependence of the higher order clustering on galaxy luminosity. We demonstrate the hierarchical scaling of the averaged p-point galaxy correlation functions, ξ̄p, up to p = 6. The hierarchica...

Higher Order Correlation coefficients

Higher Order Spt-functions

Andrews’ spt-function can be written as the difference between the second symmetrized crank and rank moment functions. Using the machinery of Bailey pairs a combinatorial interpretation is given for the difference between higher order symmetrized crank and rank moment functions. This implies an inequality between crank and rank moments that was only known previously for sufficiently large n and...

Solving Higher Order Functions

In this paper we extend the class of energy functions for which the optimal α-expansion and αβswap moves can be computed in polynomial time. Specifically, we introduce a novel family of higher order clique potentials and show that the expansion and swap moves for any energy function composed of these potentials can be found by minimizing a submodular function. We also show that for a subset of ...