# Zipf’s, Heaps’ and Taylor’s Laws are Determined by the Expansion into the Adjacent Possible

@article{Tria2018ZipfsHA, title={Zipf’s, Heaps’ and Taylor’s Laws are Determined by the Expansion into the Adjacent Possible}, author={Francesca Tria and Vittorio Loreto and Vito Domenico Pietro Servedio}, journal={Entropy}, year={2018}, volume={20} }

Zipf’s, Heaps’ and Taylor’s laws are ubiquitous in many different systems where innovation processes are at play. Together, they represent a compelling set of stylized facts regarding the overall statistics, the innovation rate and the scaling of fluctuations for systems as diverse as written texts and cities, ecological systems and stock markets. Many modeling schemes have been proposed in literature to explain those laws, but only recently a modeling framework has been introduced that…

## 19 Citations

### Taylor’s Law in Innovation Processes

- Computer ScienceEntropy
- 2020

It is suggested that Taylor’'s law is a fundamental complement to Zipf’s and Heaps’ laws in unveiling the complex dynamical processes underlying the evolution of systems featuring innovation.

### Twitter as an innovation process with damping effect

- MathematicsScientific reports
- 2021

This work introduces an extremely general model, whose key element is the update function, that can be suitably chosen in order to reproduce the behaviour exhibited by the empirical data, and shows great performances with respect to Heaps’ law.

### Heaps’ Law and Heaps functions in tagged texts: evidences of their linguistic relevance

- LinguisticsRoyal Society Open Science
- 2020

The relationship between vocabulary size and text length in a corpus of 75 literary works in English is studied, distinguishing between the contributions of three grammatical classes (or ‘tags,’ namely, nouns, verbs and others), and the progressive appearance of new words of each tag along each individual text is analyzed.

### The Compressed Vocabulary of Microbial Life

- BiologyFrontiers in Microbiology
- 2021

The vocabularies of proteins (proteomes) and functions (functionomes) revealed a significant universal lexical core supporting a universal common ancestor, an ancestral evolutionary link between Bacteria and Eukarya, and distinct reductive evolutionary strategies of language compression in Archaea and Bacteria.

### The exploration of the Adjacent Possible explains the emergence and evolution of social networks

- Computer Science
- 2020

This work uses a recent mathematical formalization of the adjacent possible space to propose a first-principles theory of social exploration based on simple microscopic rules defining how people get in touch and interact and predicts both microscopic and macroscopic features of social networks.

### On the Dual Nature of Adoption Processes in Complex Networks

- Computer ScienceFrontiers in Physics
- 2021

This work proposes to look at adoption processes in socio-technological systems as two complementary aspects of the same adoption process: on the one hand, items spreading over a social network of individuals influencing each other, and on the other hand, individuals explore a network of similarities among items to adopt.

### Adjacent Possible

- ArtThe Palgrave Encyclopedia of the Possible
- 2020

Adjacent, i.e., nearby, possibilities constantly emerge in a multitude of settings for a multitude of entities. When these possibilities are explored, yet new possibilities emerge. The concept of the…

### The Language of Innovation

- Computer SciencePloS one
- 2020

The methods proposed in this paper provide a completely new way of understanding and forecasting innovation, by tackling it from a revealing perspective and opening interesting scenarios for a number of applications and further analytic approaches.

### Interacting discovery processes on complex networks

- EconomicsPhysical review letters
- 2020

A model in which many urns, representing different explorers, are coupled through the links of a social network and exploit opportunities coming from their contacts is proposed, showing that the pace of discovery of an explorer depends on its centrality in the social network.

### A Standardized Project Gutenberg Corpus for Statistical Analysis of Natural Language and Quantitative Linguistics

- Computer ScienceEntropy
- 2020

The Standardized Project Gutenberg Corpus (SPGC), an open science approach to a curated version of the complete PG data containing more than 50,000 books and more than 3×109 word-tokens, is presented, providing a reproducible, pre-processed, full-size version of Project Gutenberg as a new scientific resource for corpus linguistics, natural language processing, and information retrieval.

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