Towards a Fractal Analysis of the Sign Language

References

• Altmann, G. (1980). Prolegomena to Menzerath’s law. Glottometrika, 2, 1–10.
   Google Scholar
• Andres, J. (2009). On de Saussure’s principle of linearity and visualization of language structures. Glottotheory, 2(2), 1–14.
   Google Scholar
• Andres, J. (2010). On a conjecture about the fractal structure of language. Journal of Quantitative Linguistics, 17(2), 101–122.
   Web of Science ®Google Scholar
• Andres, J. (2014). The Moran-Hutchinson formula in terms of Menzerath-Altmann’s law and Zipf-Mandelbrot’s law. In G. Altmann, F. Fan, E. Kelih, R. Köhler, J. Mačutek, & E. S. Wheeler (Eds.), Empirical approaches to text and language analysis (pp. 29–44). Lüdenscheid: RAM-Verlag.
   Google Scholar
• Andres, J., Benešová, M., Chvosteková, M., & Fišerová, E. (2014). Optimization of parameters in the Menzerath-Altmann law, II. Acta Universitatis Palackianae Olomucensis Facultas Rerum Naturalium Mathematica, 53(2), 5–28.
   Google Scholar
• Andres, J., Benešová, M., Kubáček, L., & Vrbková, J. (2012a). Methodological note on the fractal analysis of texts. Journal of Quantitative Linguistics, 19(1), 1–31.
   Web of Science ®Google Scholar
• Andres, J., Kubáček, L., Machalová, J., & Tučková, M. (2012b). Optimization of parameters in the Menzerath-Altmann law. Acta Universitatis Palackianae Olomucensis Facultas Rerum Naturalium Mathematica, 51(1), 5–27.
   Google Scholar
• Andres, J., & Rypka, M. (2012). Self-similar fractals with a given dimension and the application to quantitative linguistics. Nonlinear Analysis – B: Real World Applications, 13(1), 42–53.
   Web of Science ®Google Scholar
• Ausloos, M. (2010). Punctuation effects in English and Esperanto texts. Physica A: Statistical Mechanics and Its Applications, 398(14), 2835–2840.
   Google Scholar
• Ausloos, M. (2012). Measuring complexity with multifractals in texts. Translation effects. Chaos Solitons & Fractals, 45(11), 1349–1357.
   Web of Science ®Google Scholar
• Barnsley, M. F. (1993). Fractals everywhere (2nd ed.). San Diego: Morgan & Kaufmann (an imprint of Academic Press).
   Google Scholar
• Drożdż, S., Oświȩcimka, P., Kulig, A., Kwapień, J., Bazarnik, K., Grabska-Gradzińska, I., … Stanuszek, M. (2016). Quantifying origin and character of long-range correlations in narrative texts. Information Sciences, 331, 32–44.
   Web of Science ®Google Scholar
• Frosini, P. (1991). Measuring shapes by size functions. In D. P. Casasent (Ed.), Proceedings of SPIE on intelligent robotics and computer vision X (Vol. 1607, pp. 3–26). Boston: Society of Photo Optical.
   Google Scholar
• Frosini, P., & Landi, C. (2001). Size functions and formal series. Applicable Algebra in Engineering, Communication and Computing, 12, 327–349.
   Web of Science ®Google Scholar
• Handouyahia, M., Ziou, D., & Wang, S. (1999). Sign language recognition using movement-based size functions. In Proceedings of vision interface ’99 (Trois-Rivières, Canada, 19–21 May), Canadian image processing and pattern recognition society (pp. 210–216). Montreal.
   Google Scholar
• Hřebíček, L. (1992). Text in communication: Supra-sentence structures. Bochum: Brockmeyer.
   Google Scholar
• Hřebíček, L. (1994). Fractals in language. Journal of Quantitative Linguistics, 1(1), 82–86.
   Google Scholar
• Hřebíček, L. (1998). Language fractals and measurement in texts. Archiv Orientální, 66, 233–242.
   Google Scholar
• Johnston, T., & Schembri, A. (2007). Australian sign language: An introduction to sign language linguistics. Cambridge: Cambridge University Press.
   Google Scholar
• Joshua, J., Borneman, D., Malaia, E., & Wilbur, R. B. (2018). Motion characterization using optical flow and fractal complexity. Journal of Electronic Imaging, 27(5), 051229.
   Web of Science ®Google Scholar
• Köhler, R. (1995). Maβeinheiten, Dimensionen und fraktale Strukturen in der Linguistik. Zeitschrift für Empirische Textforschung, 2, 5–6.
   Google Scholar
• Köhler, R. (1997). Are there fractal structures in language? Units of measurement and dimensions in linguistics. Journal of Quantitative Linguistics, 4(1–3), 122–125.
   Google Scholar
• Köhler, R. (2008). The fractal dimension in script: an experiment. In G. Altmann & F. Feng Xiang (Eds.), Analysis of script, properties of characters and writing systems: 115–120. Berlin: de Gruyter.
   Google Scholar
• Köhler, R. (2014). The fractal structure of linguistic motifs. In G. Altmann, F. Fan, E. Kelih, R. Köhler, J. Mačutek, & E. S. Wheeler (Eds.), Empirical approaches to text and language analysis (pp. 94–104). Lüdenscheid: RAM-Verlag.
   Google Scholar
• Langer, J., & Rypka, M. (2017). Testing of subjective perception of complexity of signs of Czech sign language. Journal of Exceptional People, 11(2), 123–141.
   Google Scholar
• Lorenz, W. E., Andres, J., & Franck, G. (2017). Fractal aesthetics in architecture. Applied Mathematics & Information Sciences, 11(4), 971–981.
   Google Scholar
• Malaia, E. (2017). Current and future methodologies for quantitative analysis of information transfer in sign language and gesture data. Behavioral and Brain Sciences, 40, E63.
   PubMed Web of Science ®Google Scholar
• Malaia, E., Borneman, J. D., & Wilbur, R. B. (2016). Assessment of information content in visual signal: analysis of optical flow fractal complexity. Visual Cognition, 24(3), 246–251.
   Web of Science ®Google Scholar
• Malaia, E., Borneman, J. D., & Wilbur, R. B. (2018). Information transfer capacity of articulators in American sign language. Language and Speech, 61(1), 97–112.
   PubMed Web of Science ®Google Scholar
• Mandelbrot, B. B. (1983). The fractal geometry of nature. New York: Freeman and Comp.
   Google Scholar
• Mandelbrot, B. B. (2000). Les objects fractals. In Forme, hazard et dimension. Paris: Flammarion.
   Google Scholar
• Montemurro, M. A., & Pury, P. A. (2002). Long-range fractal correlations in literary corpora. Fractals, 10(4), 451–461.
   Web of Science ®Google Scholar
• Stewart, J. (2014). A quantitative analysis of sign lengthening in American sign language. Sign Language & Linguistics, 17(1), 82–101.
   Google Scholar
• Stokoe, W. C. (1960). Sign language structure: An outline of the visual communication systems of the American deaf. Studies in linguistics: Occasional papers (No. 8).
   Google Scholar
• Uras, C., & Verri, A. (1994). On the recognition of the alphabet of the sign language through size functions. In P. Storms (Ed.), Proceedings 12th IAPR international conference on pattern recognition, Jerusalem (Vol. II, pp.334–338). Los Alamitos: IEEE Computer Society Press.
   Google Scholar
• Uras, C., & Verri, A. (1995). Sign language recognition: an application of the theory of size functions. In D. Pycock (Ed.), Proceedings of the 6th British conference on machine vision (Vol. 2, pp.711–720). Birmingham, UK: BMVA Press Survey.
   Google Scholar
• Wimmer, G., & Altmann, G. (2005). Unified derivation of some linguistic laws. In R. Köhler, G. Altmann, & R. G. Pietrowski (Eds.), Quantitative linguistics. An international handbook: 781–807. Berlin: de Gruyter.
   Google Scholar