Linear measures such as cross-correlation have been used successfully to determine time delays from the given processes. Such an analysis often precedes identifying possible causal relationships between the observed processes. The present study investigates the impact of a positively correlated...

From the diagrammatic analysis, it is proved that the spin-parallel part of the static structure factor of an electron liquid, S↑↑(q), has the following exact asymptotic form for q⪢pf: S↑↑(q)−1=4(αrs/π)(pf/q)6d2g↑↑(r)/d(pfr)2|pfr=0+⋯, α=(4/9π)1/3, where pf is the Fermi wave...