Towards a Fractal Analysis of the Sign Language

ABSTRACTIn this paper, it is the first attempt to discuss and explore a possible extension of Hřebicek’s conjecture about a fractal structure of language from a natural language to a sign language....

[1]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[2]  L. Hrebicek.  LANGUAGE FRACTALS AND MEASUREMENT IN TEXTS , 1998 .

[3]  Jan Andres,et al.  On de Saussure’s principle of linearity and visualization of language structures , 2009 .

[4]  Alessandro Verri,et al.  On the recognition of the alphabet of the sign language through size functions , 1994, Proceedings of the 12th IAPR International Conference on Pattern Recognition, Vol. 3 - Conference C: Signal Processing (Cat. No.94CH3440-5).

[5]  Jan Andres,et al.  Self-similar fractals with a given dimension and the application to quantitative linguistics , 2012 .

[6]  Jan Andres,et al.  Methodological Note on the Fractal Analysis of Texts* , 2012, J. Quant. Linguistics.

[7]  Evie Malaia.  Current and future methodologies for quantitative analysis of information transfer in sign language and gesture data. , 2017, The Behavioral and brain sciences.

[8]  M. Ausloos.  Measuring complexity with multifractals in texts. Translation effects , 2012 .

[9]  Jan Andres,et al.  On a Conjecture about the Fractal Structure of Language , 2010, J. Quant. Linguistics.

[10]  J. Machalová,et al.  Optimization of parameters in the Menzerath–Altmann law , 2012 .

[11]  Jesse Stewart,et al.  A quantitative analysis of sign lengthening in American Sign Language , 2014 .

[12]  Ludek Hrebícek,et al.  Fractals in Language , 1994, J. Quant. Linguistics.

[13]  Marcelo A. Montemurro,et al.  Long-range fractal correlations in literary corpora , 2002, ArXiv.

[14]  Alessandro Verri,et al.  Sign Language Recognition: an Application of the Theory of Size Functions , 1995, BMVC.

[15]  Marcel Ausloos.  Punctuation effects in English and Esperanto texts , 2010, ArXiv.

[16]  Ronnie B. Wilbur,et al.  Assessment of information content in visual signal: analysis of optical flow fractal complexity , 2016 .

[17]  Andrzej Kulig,et al.  Quantifying origin and character of long-range correlations in narrative texts , 2014, Inf. Sci..

[18]  Patrizio Frosini,et al.  Size Functions and Formal Series , 2001, Applicable Algebra in Engineering, Communication and Computing.

[19]  G. Franck,et al.  Fractal Aesthetics in Architecture , 2017 .

[20]  Evie Malaia,et al.  Information Transfer Capacity of Articulators in American Sign Language , 2018, Language and speech.

[21]  S. Abbas,et al.  Ulam Stabilities for Partial Impulsive Fractional Differential Equations , 2014 .

[22]  Evguenia Malaia,et al.  Motion characterization using optical flow and fractal complexity , 2018, J. Electronic Imaging.

[23]  Reinhard Köhler.  Are there Fractal Structures in Language? Units of Measurement and Dimensions in Linguistics , 1997, J. Quant. Linguistics.