Mathematical Models of Language Evolution: How Technology Influences Lexical Change in the Digital Age

A Guideline to grasp at:

2.1 Research Design

  • Approach: Mixed-methods, combining quantitative modeling with qualitative interpretation.
  • Justification: Language change is both a social and mathematical phenomenon; blending corpus linguistics, statistical modeling, and sociolinguistics allows for richer insights.
  • Scope: Focus on lexical innovation in digital communication, especially words, memes, hashtags, and emojis that emerged in the last 10–15 years.

2.2 Data Collection

  • Corpora Sources
  • Twitter/X: rapid spread of neologisms, hashtags, memes.
  • Reddit: community-specific slang, jargon, and lexical innovation.
  • TikTok: viral audiovisual trends where words and hashtags spread quickly.
  • Online news & dictionaries: to track when internet words cross into mainstream.
  • Selection Criteria
  • Time-stamped records to observe adoption and decline.
  • Terms with measurable frequency increase (Google Ngram, word frequency APIs).
  • Words representing different categories: slang (e.g., yeet), technological neologisms (selfie), multimodal units (emoji).
  • Ethical Considerations
  • Data anonymization.
  • API compliance and respecting privacy policies.

2.3 Techniques of Analysis

  • Corpus Linguistics Methods
  • Frequency tracking: observing how often new words or expressions appear across a time span.
  • Time-series analysis: identifying adoption curves (rise, peak, decline).
  • Keyword comparison: examining how lexical items spread differently across online platforms.
  • Model Evaluation
  • Fitting observed lexical trends to established models (e.g., S-curve of diffusion).
  • Assessing how well models reflect real-world data using simple accuracy checks (e.g., comparing predicted vs. actual adoption rates).

2.4 Case Studies (Applied Modeling)

  • Case Study 1: Viral Internet Slang
  • Example: yeet → origin, peak, decline.
  • Fit adoption to logistic/S-curve model.
  • Compare lifespan across platforms.
  • Case Study 2: Emoji as Lexical Units
  • Treat emojis as evolving lexicon.
  • Analyze substitution (? replacing “lol”).
  • Model adoption as competition between old and new forms.
  • Case Study 3: Platform-Specific Spread
  • Compare Twitter vs. TikTok vs. Reddit.
  • Identify whether diffusion speed differs depending on platform structure.
  • Analyze role of algorithms (trending lists, recommendation engines).

2.5 Limitations of Methodology

  • Incomplete corpora (API restrictions).
  • Noise in social media data (bots, spam).
  • Oversimplification of human social behavior in models.
  • Difficulty capturing semantic shifts beyond frequency counts.

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