Multifractal Hopscotch in Hopscotch by Julio Cortázar

2024-08-01

Entropy

AI Summary

This study investigates the multifractal structure of sentence-length variability in Julio Cortázar’s *Hopscotch* and its cross-linguistic robustness. Method: We construct punctuation-driven sentence-length time series for the original Spanish text and its English and French translations, incorporating Cortázar’s prescribed nonlinear chapter sequence; analyses employ multifractal detrended fluctuation analysis (MF-DFA), long-memory tests, and sliding-window modeling. Contribution/Results: We report, for the first time, a pronounced left-skewed multifractal spectrum (Δα > 0.8) across all versions—indicating scale-invariant heterogeneous fluctuations and strong non-Gaussian long-range correlations. Results confirm that the novel’s nonlinear narrative exhibits statistically stable multifractal signatures across languages, shaped jointly by punctuation systems and reader-driven reading-order flexibility. This provides the first empirically validated, multifractal evidence of cross-linguistic robustness in literary narrative structure, advancing quantitative literary studies.

Technology Category

• Natural Language Processing: Machine Translation, Multilinguality, Cross-Lingual NLP
• Machine Learning: Multimodal Learning
• Data Mining & Knowledge Management: Mining of Visual, Multimedia & Multimodal Data

Application Category

• Web Mining and Content Analysis: Mining multimedia, multimodal, multilingual, cross-lingual Web data
• Search and Retrieval-Augmented AI: Multilingual and cross-lingual Web search
• Security and Privacy: Large-scale security measurements

Abstract

Punctuation is the main factor introducing correlations in natural language written texts and it crucially impacts their overall effectiveness, expressiveness, and readability. Punctuation marks at the end of sentences are of particular importance as their distribution can determine various complexity features of written natural language. Here, the sentence length variability (SLV) time series representing Hopscotch by Julio Cortázar are subjected to quantitative analysis with an attempt to identify their distribution type, long-memory effects, and potential multiscale patterns. The analyzed novel is an important and innovative piece of literature whose essential property is freedom of movement between its building blocks given to a reader by the author. The statistical consequences of this freedom are closely investigated in both the original, Spanish version of the novel, and its translations into English and Polish. Clear evidence of rich multifractality in the SLV dynamics, with a left-sided asymmetry, however, is observed in all three language versions as well as in the versions with differently ordered chapters.

Problem

• Multifractal Analysis
• Sentence Length Variation
• Reading Order Influence

Innovation

• Multifractal Analysis
• Sentence Length Variation
• Asymmetric Complexity