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The Zipf's law is the major regularity of statistical linguistics that served as a prototype for rank-frequency relations and scaling laws in natural sciences. Here we show that the Zipf's law -- together with its applicability for a single…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Armen E. Allahverdyan , Weibing Deng , Q. A. Wang

We consider the problem of estimating social influence, the effect that a person's behavior has on the future behavior of their peers. The key challenge is that shared behavior between friends could be equally explained by influence or by…

Social and Information Networks · Computer Science 2022-04-05 Dhanya Sridhar , Caterina De Bacco , David Blei

We study a deliberately simple, fully non-linguistic model of text: a sequence of independent draws from a finite alphabet of letters plus a single space symbol. A word is defined as a maximal block of non-space symbols. Within this…

Computation and Language · Computer Science 2025-11-25 Vladimir Berman

We propose a model of the speech perception of individual words in the presence of mishearings. This phenomenological approach is based on concepts used in linguistics, and provides a formalism that is universal across languages. We put…

Computation and Language · Computer Science 2020-10-19 Anita Mehta , Jean-Marc Luck

Quantitative linguistics has provided us with a number of empirical laws that characterise the evolution of languages and competition amongst them. In terms of language usage, one of the most influential results is Zipf's law of word…

Physics and Society · Physics 2009-01-21 Alvaro Corral , Ramon Ferrer-i-Cancho , Gemma Boleda , Albert Diaz-Guilera , .

In this paper we will look at the distribution with which passwords are chosen. Zipf's Law is commonly observed in lists of chosen words. Using password lists from four different on-line sources, we will investigate if Zipf's law is a good…

Cryptography and Security · Computer Science 2015-09-02 David Malone , Kevin Maher

Online communications, and in particular social media, are a key component of how society interacts with and promotes content online. Collective attention on such content can vary wildly. The majority of breaking topics quickly fade into…

Social and Information Networks · Computer Science 2024-11-19 Tristan J. B. Cann , Iain S. Weaver , Hywel T. P. Williams

A social tagging system allows users to add arbitrary strings, called "tags", on a shared resource to organize and manage information. The Yule--Simon process, which has shown the ability to capture the population dynamics of social tagging…

Social and Information Networks · Computer Science 2017-03-16 Koya Sato , Mizuki Oka , Yasuhiro Hashimoto , Takashi Ikegami , Kazuhiko Kato

Understanding the impact of digital platforms on user behavior presents foundational challenges, including issues related to polarization, misinformation dynamics, and variation in news consumption. Comparative analyses across platforms and…

The Zipf's law establishes that if the words of a (large) text are ordered by decreasing frequency, the frequency versus the rank decreases as a power law with exponent close to $-1$. Previous work has stressed that this pattern arises from…

Physics and Society · Physics 2019-04-03 Felipe Urbina , Javier Vera

We perform an analysis of the way individual users navigate in the Web. We focus primarily in the temporal patterns of they return to a given page. The return probability as a function of time as well as the distribution of time intervals…

Human-Computer Interaction · Computer Science 2010-04-27 Bruno Goncalves , Jose J. Ramasco

The massive diffusion of online social media allows for the rapid and uncontrolled spreading of conspiracy theories, hoaxes, unsubstantiated claims, and false news. Such an impressive amount of misinformation can influence policy…

Social and Information Networks · Computer Science 2017-02-01 Alessandro Bessi

The temporal statistics exhibited by written correspondence appear to be media dependent, with features which have so far proven difficult to characterize. We explain the origin of these difficulties by disentangling the role of spontaneous…

Physics and Society · Physics 2015-06-17 M. Formentin , A. Lovison , A. Maritan , G. Zanzotto

Large-scale data resulting from users online interactions provide the ultimate source of information to study emergent social phenomena on the Web. From individual actions of users to observable collective behaviors, different mechanisms…

Physics and Society · Physics 2015-05-20 Marija Mitrović , Georgios Paltoglou , Bosiljka Tadić

We study the dynamics of public media attention by monitoring the content of online blogs. Social and media events can be traced by the propagation of word frequencies of related keywords. Media events are classified as exogenous - where…

Physics and Society · Physics 2015-05-27 Peter Klimek , Werner Bayer , Stefan Thurner

Natural languages are full of rules and exceptions. One of the most famous quantitative rules is Zipf's law which states that the frequency of occurrence of a word is approximately inversely proportional to its rank. Though this `law' of…

Computation and Language · Computer Science 2015-05-27 Jake Ryland Williams , James P. Bagrow , Christopher M. Danforth , Peter Sheridan Dodds

We explore the hypothesis that it is possible to obtain information about the dynamics of a blog network by analysing the temporal relationships between blogs at a semantic level, and that this type of analysis adds to the knowledge that…

Social and Information Networks · Computer Science 2010-09-02 Telmo Menezes , Camille Roth , Jean-Philippe Cointet

A vast amount of textual web streams is influenced by events or phenomena emerging in the real world. The social web forms an excellent modern paradigm, where unstructured user generated content is published on a regular basis and in most…

Machine Learning · Computer Science 2012-08-15 Vasileios Lampos

Understanding the innovation process, that is the underlying mechanisms through which novelties emerge, diffuse and trigger further novelties is undoubtedly of fundamental importance in many areas (biology, linguistics, social science and…

Physics and Society · Physics 2021-10-29 Giacomo Aletti , Irene Crimaldi

Information spreading in online social communities has attracted tremendous attention due to its utmost practical values in applications. Despite that several individual-level diffusion data have been investigated, we still lack the…

Physics and Society · Physics 2018-11-21 Sen Pei , Lev Muchnik , Shaoting Tang , Zhiming Zheng , Hernan A. Makse