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We show that the mutual information between two symbols, as a function of the number of symbols between the two, decays exponentially in any probabilistic regular grammar, but can decay like a power law for a context-free grammar. This…

Disordered Systems and Neural Networks · Physics 2017-08-25 Henry W. Lin , Max Tegmark

What processes can explain how very large populations are able to converge on the use of a particular word or grammatical construction without global coordination? Answering this question helps to understand why new language constructs…

Physics and Society · Physics 2007-05-23 A. Baronchelli , M. Felici , E. Caglioti , V. Loreto , L. Steels

This study re-evaluates the assumption that long-range correlations in sentence length are a fundamental feature of natural language and a marker of literary style. While previous research has suggested that punctuation marks--particularly…

Chaotic Dynamics · Physics 2025-08-28 Ying Zeng , Junying Cui , Lejun Li

We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in $[-1,1]$. At each update time, two random agents are selected, and the opinion of the first agent is updated…

Probability · Mathematics 2024-08-06 Fei Cao , Roberto Cortez

This paper is a survey, with few proofs, of ideas and notions related to self-similarity of groups, semi-groups and their actions. It attempts to relate these concepts to more familiar ones, such as fractals, self-similar sets, and…

Group Theory · Mathematics 2009-11-29 Laurent Bartholdi , Rostislav I. Grigorchuk , Volodymyr V. Nekrashevych

Metaphor pervades everyday language, allowing speakers to express abstract concepts via concrete domains. While prior work has studied metaphors cognitively and psycholinguistically, large-scale comparisons with literal language remain…

Computation and Language · Computer Science 2026-04-10 Prisca Piccirilli , Alexander Fraser , Sabine Schulte im Walde

Languages continually evolve in response to societal events, resulting in new terms and shifts in meanings. These changes have significant implications for computer applications, including automatic translation and chatbots, making it…

Computation and Language · Computer Science 2024-07-24 Jader Martins Camboim de Sá , Marcos Da Silveira , Cédric Pruski

Metaphors of Computation and Information tended to detract attention from the intrinsic modes of neural system functions, uncontaminated by the observer's role for collection and interpretation of experimental data. Recognizing the…

General Physics · Physics 2011-07-21 Gerhard Werner

Metaphors are a distinctive feature of literary language, yet they remain less studied experimentally than everyday metaphors. Moreover, previous psycholinguistic and computational approaches overlooked the temporal dimension, although many…

Computation and Language · Computer Science 2026-02-17 Veronica Mangiaterra , Chiara Barattieri di San Pietro , Paolo Canal , Valentina Bambini

We propose a new computational approach for tracking and detecting statistically significant linguistic shifts in the meaning and usage of words. Such linguistic shifts are especially prevalent on the Internet, where the rapid exchange of…

Computation and Language · Computer Science 2014-11-13 Vivek Kulkarni , Rami Al-Rfou , Bryan Perozzi , Steven Skiena

Understanding how words change their meanings over time is key to models of language and cultural evolution, but historical data on meaning is scarce, making theories hard to develop and test. Word embeddings show promise as a diachronic…

Computation and Language · Computer Science 2018-10-26 William L. Hamilton , Jure Leskovec , Dan Jurafsky

We develop a dynamical system approach for the Zhang's model of Self-Organized Criticality, for which the dynamics can be described either in terms of Iterated Function Systems, or as a piecewise hyperbolic dynamical system of skew-product…

Statistical Mechanics · Physics 2007-05-23 Ph. Blanchard , B. Cessac , T. Krueger

This work develops a computational model (by Automata Networks) of phonological similarity effects involved in the formation of word-meaning associations on artificial populations of speakers. Classical studies show that in recalling…

Computation and Language · Computer Science 2016-04-07 Javier Vera

Color naming in natural languages is not arbitrary: it reflects efficient partitions of perceptual color space modulated by the relative needs to communicate about different colors. These psychophysical and communicative constraints help…

Populations and Evolution · Quantitative Biology 2023-05-09 Colin R. Twomey , David H. Brainard , Joshua B. Plotkin

The syntactic structures of sentences can be readily read-out from the activations of large language models (LLMs). However, the ``structural probes'' that have been developed to reveal this phenomenon are typically evaluated on an…

Computation and Language · Computer Science 2025-08-12 Pablo J. Diego-Simón , Emmanuel Chemla , Jean-Rémi King , Yair Lakretz

Much of the success of modern language models depends on finding a suitable prompt to instruct the model. Until now, it has been largely unknown how variations in the linguistic expression of prompts affect these models. This study…

Computation and Language · Computer Science 2026-02-17 Jan Philip Wahle , Terry Ruas , Yang Xu , Bela Gipp

Language is not only a tool for communication but also a medium for human cognition and reasoning. If, as linguistic relativity suggests, the structure of language shapes cognitive patterns, then large language models (LLMs) trained on…

Computation and Language · Computer Science 2025-06-23 Chenxi Wang , Yixuan Zhang , Lang Gao , Zixiang Xu , Zirui Song , Yanbo Wang , Xiuying Chen

As a contribution to metaphor analysis, we introduce a statistical, data-based investigation with empirical analysis of long-standing conjectures and a first-ever empirical exploration of the systematic features of metaphors. Conversely,…

Computation and Language · Computer Science 2023-09-18 Marie Teich , Wilmer Leal , Juergen Jost

Depending on the rule for tree growth, the forest-fire model shows either self-organized criticality with rule-dependent exponents, or synchronization, or an intermediate behavior. This is shown analytically for the one-dimensional system,…

Condensed Matter · Physics 2009-10-28 Barbara Drossel

The unreduced, universally nonperturbative analysis of arbitrary many-body interaction process reveals the irreducible, purely dynamic source of randomness. It leads to the universal definition of real system complexity (physics/9806002),…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk