9 research outputs found
Memory Function versus Binary Correlator in Additive Markov Chains
We study properties of the additive binary Markov chain with short and
long-range correlations. A new approach is suggested that allows one to express
global statistical properties of a binary chain in terms of the so-called
memory function. The latter is directly connected with the pair correlator of a
chain via the integral equation that is analyzed in great detail. To elucidate
the relation between the memory function and pair correlator, some specific
cases were considered that may have important applications in different fields.Comment: 31 pages, 1 figur