Competition between two kinds of correlations in literary texts.

作者: S. S. Melnyk , O. V. Usatenko , V. A. Yampol’skii , V. A. Golick

DOI: 10.1103/PHYSREVE.72.026140

关键词:

摘要: A theory of additive Markov chains with long-range memory is used to describe the correlation properties coarse-grained literary texts. The complex structure correlations in texts revealed. Anti-persistent at small distances, L approximately 300 define this non-trivial structure. For some concrete examples texts, functions are obtained and their power-law behavior long distances disclosed. This property shown be a cause self-similarity respect decimation procedure.

参考文章(22)
I. M. Sokolov, Cyclization of a polymer: first-passage problem for a non-Markovian process. Physical Review Letters. ,vol. 90, pp. 080601- 080601 ,(2003) , 10.1103/PHYSREVLETT.90.080601
Armin Bunde, Shlomo Havlin, Eva Koscielny-Bunde, Hans-Joachim Schellnhuber, Long term persistence in the atmosphere: global laws and tests of climate models Physica A-statistical Mechanics and Its Applications. ,vol. 302, pp. 255- 267 ,(2001) , 10.1016/S0378-4371(01)00469-1
H-N Yang, Y-P Zhao, A Chan, T-M Lu, G-C Wang, None, Sampling-induced hidden cycles in correlated random rough surfaces Physical Review B. ,vol. 56, pp. 4224- 4232 ,(1997) , 10.1103/PHYSREVB.56.4224
S. N. Majumdar, A. J. Bray, S. J. Cornell, C. Sire, Global Persistence Exponent for Nonequilibrium Critical Dynamics. Physical Review Letters. ,vol. 77, pp. 3704- 3707 ,(1996) , 10.1103/PHYSREVLETT.77.3704
S. Havlin, R. Blumberg Selinger, M. Schwartz, H. E. Stanley, A. Bunde, Random multiplicative processes and transport in structures with correlated spatial disorder Physical Review Letters. ,vol. 61, pp. 1438- 1441 ,(1988) , 10.1103/PHYSREVLETT.61.1438
Richard F. Voss, Evolution of long-range fractal correlations and 1/f noise in DNA base sequences. Physical Review Letters. ,vol. 68, pp. 3805- 3808 ,(1992) , 10.1103/PHYSREVLETT.68.3805
H.E. Stanley, V. Afanasyev, L.A.N. Amaral, S.V. Buldyrev, A.L. Goldberger, S. Havlin, H. Leschhorn, P. Maass, R.N. Mantegna, C.-K. Peng, P.A. Prince, M.A. Salinger, M.H.R. Stanley, G.M. Viswanathan, Anomalous fluctuations in the dynamics of complex systems: from DNA and physiology to econophysics Physica A-statistical Mechanics and Its Applications. ,vol. 224, pp. 302- 321 ,(1996) , 10.1016/0378-4371(95)00409-2
S. V. Buldyrev, A. L. Goldberger, S. Havlin, R. N. Mantegna, M. E. Matsa, C.-K. Peng, M. Simons, H. E. Stanley, Long-range correlation properties of coding and noncoding DNA sequences: GenBank analysis Physical Review E. ,vol. 51, pp. 5084- 5091 ,(1995) , 10.1103/PHYSREVE.51.5084
A. Provata, Y. Almirantis, Scaling properties of coding and non-coding DNA sequences Physica A-statistical Mechanics and Its Applications. ,vol. 247, pp. 482- 496 ,(1997) , 10.1016/S0378-4371(97)00424-X
Renat M Yulmetyev, Natalya Emelyanova, Peter Hänggi, Fail Gafarov, Alexander Prokhorov, None, Long-range memory and non-Markov statistical effects in human sensorimotor coordination Physica A-statistical Mechanics and Its Applications. ,vol. 316, pp. 671- 687 ,(2002) , 10.1016/S0378-4371(02)01206-2