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- Alvaro Corral
- Physical review. E, Statistical, nonlinear, and…
- 2003

A recently proposed unified scaling law for interoccurrence times of earthquakes is analyzed, both theoretically and with data from Southern California. We decompose the corresponding probability density into local-instantaneous distributions, which scale with the rate of earthquake occurrence. The fluctuations of the rate, characterizing the… (More)

- A. Corral
- 2005

Part of Special Issue " Seismicity pattern dynamics " Abstract. The limits of a recently proposed universal scaling law for the probability distributions of earthquake recurrence times are explored. The scaling properties allow to improve the statistics of occurrence of large earthquakes over small areas by mixing rescaled recurrence times for different… (More)

- Joan Serrà, Alvaro Corral, Marián Boguñá, Martín Haro, Josep Lluís Arcos
- Scientific reports
- 2012

Popular music is a key cultural expression that has captured listeners' attention for ages. Many of the structural regularities underlying musical discourse are yet to be discovered and, accordingly, their historical evolution remains formally unknown. Here we unveil a number of patterns and metrics characterizing the generic usage of primary musical facets… (More)

- Alvaro Corral
- Physical review letters
- 2006

Spatiotemporal properties of seismicity are investigated for a worldwide (WW) catalog and for southern California in the stationary case (SC), showing a nearly universal scaling behavior. Distributions of distances between consecutive earthquakes (jumps) are magnitude independent and show two power-law regimes, separated by jump values about 200 (WW) and 15… (More)

- Alvaro Corral
- Physical review. E, Statistical, nonlinear, and…
- 2005

The existence of a slowly always decreasing probability density for the recurrence times of earthquakes in the stationary case implies that the occurrence of an event at a given instant becomes more unlikely as time since the previous event increases. Consequently, the expected waiting time to the next earthquake increases with the elapsed time, that is,… (More)

1 Quantitative linguistics has provided us with a number of empirical laws that characterise the evolution of languages [1, 2, 3] and competition amongst them [3, 4]. In terms of language usage, one of the most influential results is Zipf's law of word frequencies [5]. Zipf's law appears to be universal, and may not even be unique to human language [6].… (More)

- Alvaro Corral, Francesc Font, Juan Camacho
- Physical review. E, Statistical, nonlinear, and…
- 2011

Half-lives of radionuclides span more than 50 orders of magnitude. We characterize the probability distribution of this broad-range data set at the same time that we explore a method for fitting power laws and testing goodness-of-fit. It is found that the procedure proposed recently by Clauset et al. [SIAM Rev. 51, 661 (2009)] does not perform well as it… (More)

- Alvaro Corral, Gemma Boleda, Ramon Ferrer-i-Cancho
- PloS one
- 2015

Zipf's law is a fundamental paradigm in the statistics of written and spoken natural language as well as in other communication systems. We raise the question of the elementary units for which Zipf's law should hold in the most natural way, studying its validity for plain word forms and for the corresponding lemma forms. We analyze several long literary… (More)

- F J Carrera, J Ebrero, +14 authors Y Ueda
- 2007

Context. Recent results have revised upwards the total X-ray background (XRB) intensity below ∼10 keV, therefore an accurate determination of the source counts is needed. There are also contradicting results on the clustering of X-ray selected sources. Aims. We have studied the X-ray source counts in four energy bands soft (0.5-2 keV), hard (2-10 keV), XID… (More)

- Joan Serrà, Isabel Serra, Alvaro Corral, Josep Lluís Arcos
- Expert Syst. Appl.
- 2016

The detection of very similar patterns in a time series, commonly called motifs, has received continuous and increasing attention from diverse scientific communities. In particular, recent approaches for discovering similar motifs of different lengths have been proposed. In this work, we show that such variable-length similarity-based motifs cannot be… (More)