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The statistics of natural catastrophes contains very counter-intuitive results. Using earthquakes as a working example, we show that the energy radiated by such events follows a power-law or Pareto… (More)

- Martin Gerlach, Francesc Font-Clos, Eduardo G. Altmann
- ArXiv
- 2015

Quantifying the similarity between symbolic sequences is a traditional problem in Information Theory which requires comparing the frequencies of symbols in different sequences. In numerous modern… (More)

- Rosalba Garcia-Millan, Francesc Font-Clos, Álvaro Corral
- Physical review. E, Statistical, nonlinear, and…
- 2015

Branching processes pervade many models in statistical physics. We investigate the survival probability of a Galton-Watson branching process after a finite number of generations. We derive… (More)

It is shown that the scaling law for the text-length dependence of word-frequency distributions proposed by Font-Clos et al in 2013 New J. Phys.15 093033 is fundamentally impossible and leads to… (More)

- Francesc Font-Clos, Álvaro Corral
- Physical review letters
- 2015

It is traditionally assumed that Zipf's law implies the power-law growth of the number of different elements with the total number of elements in a system-the so-called Heaps' law. We show that a… (More)

In this work we introduce a novel weighted message-passing algorithm based on the cavity method to estimate volume-related properties of random polytopes, properties which are relevant in various… (More)

- Francesc Font-Clos, Nicholas Richard Moloney
- Physical review. E
- 2016

We calculate the distribution of the size of the percolating cluster on a tree in the subcritical, critical, and supercritical phase. We do this by exploiting a mapping between continuum trees and… (More)

- Martin Gerlach, Francesc Font-Clos
- ArXiv
- 2018

The use of Project Gutenberg (PG) as a text corpus has been extremely popular in statistical analysis of language for more than 25 years. However, in contrast to other major linguistic datasets of… (More)

- Oriol Güell, Francesco Alessandro Massucci, Francesc Font-Clos, Francesc Sagués, M. Ángeles Serrano
- Journal of the Royal Society, Interface
- 2015

Experimental and empirical observations on cell metabolism cannot be understood as a whole without their integration into a consistent systematic framework. However, the characterization of metabolic… (More)

- Isabel Moreno-Sánchez, Francesc Font-Clos, Álvaro Corral, Dante R. Chialvo
- PloS one
- 2016

Despite being a paradigm of quantitative linguistics, Zipf's law for words suffers from three main problems: its formulation is ambiguous, its validity has not been tested rigorously from a… (More)