The statistics of recurrence times in broad areas have been reported to obey universal scaling laws, both for single homogeneous regions (Corral, 2003) and when averaged over multiple regions (Bak etâ€¦ (More)

Zipf's law states that the number of firms with size greater than S is inversely proportional to S. Most explanations start with Gibrat's rule of proportional growth but require additionalâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2011

The dynamics of technological, economic and social phenomena is controlled by how humans organize their daily tasks in response to both endogenous and exogenous stimulations. Queueing theory isâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2010

Empirical analyses show that after the update of a browser, or the publication of the vulnerability of a software, or the discovery of a cyber worm, the fraction of computers still using the olderâ€¦ (More)

We present a simple microstructure model of financial returns that combines (i) the well-known ARFIMA process applied to tick-by-tick returns, (ii) the bid-ask bounce effect, (iii) the fat tailâ€¦ (More)

We summarize a book under publication with the above title written by the three present authors, on the theory of Zipf's law, and more generally of power laws, driven by the mechanism of proportionalâ€¦ (More)