260 citations · 976 across the 18 of their papers we have counts for
7 papers · 1 filter
Generalized Entropies and the Similarity of Texts
Eduardo G. Altmann, Laercio Dias, Martin Gerlach
We show how generalized Gibbs-Shannon entropies can provide new insights on the statistical properties of texts. The universal distribution of word frequencies (Zipf's law) implies…
Is this scaling nonlinear?
J. C. Leitao, J. M. Miotto, M. Gerlach +1
One of the most celebrated findings in complex systems in the last decade is that different indexes y (e.g., patents) scale nonlinearly with the population~x of the cities in which…
Similarity of symbol frequency distributions with heavy tails
Martin Gerlach, Francesc Font-Clos, Eduardo G. Altmann
Quantifying the similarity between symbolic sequences is a traditional problem in Information Theory which requires comparing the frequencies of symbols in different sequences. In…
Statistical laws in linguistics
Eduardo G. Altmann, Martin Gerlach
Zipf's law is just one out of many universal laws proposed to describe statistical regularities in language. Here we review and critically discuss how these laws can be statistical…
Extracting information from S-curves of language change
Fakhteh Ghanbarnejad, Martin Gerlach, Jose M. Miotto +1
It is well accepted that adoption of innovations are described by S-curves (slow start, accelerating period, and slow end). In this paper, we analyze how much information on the dy…
Scaling laws and fluctuations in the statistics of word frequencies
Martin Gerlach, Eduardo G. Altmann
In this paper we combine statistical analysis of large text databases and simple stochastic models to explain the appearance of scaling laws in the statistics of word frequencies.…
Stochastic model for the vocabulary growth in natural languages
Martin Gerlach, Eduardo G. Altmann
We propose a stochastic model for the number of different words in a given database which incorporates the dependence on the database size and historical changes. The main feature…