History dependence and aging in a periodic long-range Josephson array

Short Range and Long Range Dependence

In this section a discussion of the evolution of a notion of strong mixing as a measure of short range dependence and with additional restrictions a sufficient condition for a central limit theorem, is given. In the next section I will give a characterization of strong mixing for stationary Gaussian sequences. In Sect. 3 I will give a discussion of processes subordinated to Gaussian processes a...

Long Range Dependence

The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connections with non-stationary processes, with ergodic theory, self-similar processes and fractionally differenced processes, heavy tails and light tails, limit theorems and large deviations.

Long range magnetic interaction between Josephson junctions.

Josephson Junction Arrays with Long-Range Interactions

We calculate the current-voltage (IV ) characteristics of a Josephson junction array with long-range interactions. The array consists of two sets of equally-spaced parallel superconducting wires placed at right angles. A Josephson junction is formed at every point wherever the wires cross. We treat each such junction as an overdamped resistively-shunted junction, and each wire segment between t...

Long-range oscillation in a periodic DNA sequence motif may influence nucleosome array formation

We have experimentally examined the characteristics of nucleosome array formation in different regions of mouse liver chromatin, and have computationally analyzed the corresponding genomic DNA sequences. We have shown that the mouse adenosine deaminase (MADA) gene locus is packaged into an exceptionally regular nucleosome array with a shortened repeat, consistent with our computational predicti...