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Oscillatory dynamics between language usage and economic activity.

Alejandro Pardo Pintos1,2, Diego E Shalom1,2, Guillermo Cecchi3

  • 1Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física, Buenos Aires, Argentina.

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Summary
This summary is machine-generated.

Word usage in major languages shows regular cycles that link to economic activity. This study reveals language as a dynamic system, actively interacting with macroeconomic rhythms.

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Area of Science:

  • Linguistics
  • Economics
  • Complexity Science

Background:

  • Word usage frequency in major Western languages displays regular, small-amplitude cycles over two centuries.
  • These linguistic cycles have been observed to cluster semantically and correlate with macroeconomic rhythms.

Purpose of the Study:

  • To investigate the interaction between linguistic cycles and macroeconomic rhythms.
  • To model the dynamics of word usage and its coupling with economic activity.

Main Methods:

  • Analysis of large-scale linguistic and economic datasets spanning two centuries.
  • Development of a minimal mathematical model for word usage incorporating collective attention delays.
  • Parameter fitting to identify critical dynamics and coupling mechanisms.

Main Results:

  • Word usage cycles form semantically coherent clusters that track, interact with, or precede economic cycles.
  • Language usage operates near a Hopf bifurcation, indicating a critical state of heightened sensitivity.
  • A robust coupling exists between language dynamics and economic activity, manifesting as oscillatory patterns.

Conclusions:

  • Language usage is a dynamical system operating at criticality.
  • Observed oscillations in language emerge from robust coupling with large-scale economic fluctuations.
  • Language actively interacts with and influences macroeconomic dynamics, rather than merely reflecting them.