Correlations and Bath’s law

Correlations and Omori law in Spamming

The most costly and annoying characteristic of the e-mail communication system is the large number of unsolicited commercial e-mails, known as spams, that are continuously received. Via the investigation of the statistical properties of the spam delivering intertimes, we show that spams delivered to a given recipient are time correlated: if the intertime between two consecutive spams is small (...

Asymmetry in power-law magnitude correlations.

Time series of increments can be created in a number of different ways from a variety of physical phenomena. For example, in the phenomenon of volatility clustering-well-known in finance-magnitudes of adjacent increments are correlated. Moreover, in some time series, magnitude correlations display asymmetry with respect to an increment's sign: the magnitude of |x_{i}| depends on the sign of the...

Power Law Correlations in DNA Sequences

Introduction Awide variety of natural phenomena is characterized by power law behavior of their parameters. This type of behavior is also called scaling. The first observation of scaling probably goes back to Kepler who empirically discovered that squares of the periods of planet revolution around the Sun scale as cubes of their orbits radii. This empirical law allowed Newton to discover his fa...

Buxton: Its Baths and Climate

Uncovering many-body correlations in nanoscale nuclear spin baths by central spin decoherence

Central spin decoherence caused by nuclear spin baths is often a critical issue in various quantum computing schemes, and it has also been used for sensing single-nuclear spins. Recent theoretical studies suggest that central spin decoherence can act as a probe of many-body physics in spin baths; however, identification and detection of many-body correlations of nuclear spins in nanoscale syste...