2012/02/15 by Jordi Baró, Eduard Vives
Earth and Planetary Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #cond-mat.stat-mech #earthquake and tectonic studies #physics.data-an
paper · pdf · doi:10.1103/physreve.85.066121
published as Phys. Rev. E 85 (2012) 066121 · 15 pages, 14 figures
arxiv created 2012/02/15 · openalex publication_date 2012/06/19 · arxiv updated 2012/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Maximum-likelihood exponent maps have been studied as a technique to increase the understanding and improve the fit of power-law exponents to experimental and numerical simulation data, especially when they exhibit both upper and lower cutoffs. The use of the technique is tested by analyzing seismological data, acoustic emission data, and avalanches in numerical simulations of the three-dimensional random field Ising model. In the different examples we discuss the nature of the deviations observed in the exponent maps and some relevant conclusions are drawn for the physics behind each phenomenon.