Language time series analysis

We use the detrended fluctuation analysis (DFA) and the Grassberger–Proccacia analysis (GP) methods in order to study language characteristics. Despite that we construct our signals using only word lengths or word frequencies, excluding in this way huge amount of information from language, the application of GP analysis indicates that linguistic signals may be considered as the manifestation of a complex system of high dimensionality, different from random signals or systems of low dimensionality such as the Earth climate. The DFA method is additionally able to distinguish a natural language signal from a computer code signal. This last result may be useful in the field of cryptography.

[1]  M A Nowak,et al.  The evolution of language. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Teemu Leppänen,et al.  Modeling language competition , 2004 .

[3]  L. Amaral,et al.  Multifractality in human heartbeat dynamics , 1998, Nature.

[4]  A. N. Anagnostopoulos,et al.  Crisis in electrical behavior of the TlInSe 2 semiconducting compound , 1996 .

[5]  S. Havlin The distance between Zipf plots , 1995 .

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

[7]  Richard F. Voss,et al.  LONG-RANGE FRACTAL CORRELATIONS IN DNA INTRONS AND EXONS , 1994 .

[8]  S. Havlin,et al.  Detecting long-range correlations with detrended fluctuation analysis , 2001, cond-mat/0102214.

[9]  S. Thurner,et al.  Multiresolution Wavelet Analysis of Heartbeat Intervals Discriminates Healthy Patients from Those with Cardiac Pathology , 1997, adap-org/9711003.

[10]  Veit Schwämmle,et al.  SIMULATION FOR COMPETITION OF LANGUAGES WITH AN AGING SEXUAL POPULATION , 2005 .

[11]  Jun Zhang,et al.  LONG RANGE CORRELATION IN HUMAN WRITINGS , 1993 .

[12]  J. Mira,et al.  Interlinguistic similarity and language death dynamics , 2005 .

[13]  E. Bacry,et al.  Characterizing long-range correlations in DNA sequences from wavelet analysis. , 1995, Physical review letters.

[14]  S. Havlin,et al.  Indication of a Universal Persistence Law Governing Atmospheric Variability , 1998 .

[15]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[16]  H E Stanley,et al.  Scale-independent measures and pathologic cardiac dynamics. , 1998, Physical review letters.

[17]  H E Stanley,et al.  Linguistic features of noncoding DNA sequences. , 1994, Physical review letters.

[18]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[19]  Jeffrey M. Hausdorff,et al.  Long-range anticorrelations and non-Gaussian behavior of the heartbeat. , 1993, Physical review letters.

[20]  Ioannis M. Kyprianidis,et al.  Chaotic behaviour of a fourth-order autonomous electric circuit , 2003 .

[21]  Jeffrey M. Hausdorff,et al.  Multiple-time scales analysis of physiological time series under neural control. , 1998, Physica A.

[22]  R. Voss,et al.  Evolution of long-range fractal correlations and 1/f noise in DNA base sequences. , 1992, Physical review letters.

[23]  James D. Hamilton Time Series Analysis , 1994 .

[24]  C. Peng,et al.  Long-range correlations in nucleotide sequences , 1992, Nature.

[25]  Ing Ren Tsang,et al.  Theoretical model for the evolution of the linguistic diversity , 2005, physics/0505197.

[26]  Nadav M. Shnerb,et al.  LANGUAGE AND CODIFICATION DEPENDENCE OF LONG-RANGE CORRELATIONS IN TEXTS , 1994 .

[27]  S. Strogatz,et al.  Linguistics: Modelling the dynamics of language death , 2003, Nature.

[28]  G. Zipf,et al.  Human Behavior and the Principle of Least Effort: An Introduction to Human Ecology. , 1949 .

[29]  I. Prigogine,et al.  Exploring Complexity: An Introduction , 1989 .

[30]  Shlomo Havlin,et al.  Long-term memory: a natural mechanism for the clustering of extreme events and anomalous residual times in climate records. , 2005, Physical review letters.

[31]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[32]  Ricard V. Solé,et al.  Least effort and the origins of scaling in human language , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[33]  Greece,et al.  Language evolution and population dynamics in a system of two interacting species , 2005, cond-mat/0502118.

[34]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .

[35]  Simons,et al.  Long-range fractal correlations in DNA. , 1993, Physical Review Letters.

[36]  Shlomo Havlin,et al.  Fractals in Science , 1995 .

[37]  MODEL FOR A NEURAL NETWORK STRUCTURE AND SIGNAL TRANSMISSION , 1997 .

[38]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[39]  Dietrich Stauffer,et al.  Microscopic and macroscopic simulation of competition between languages , 2005 .

[40]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[41]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .