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Volumn 84, Issue 5, 2011, Pages

Tsallis distributions and 1/f noise from nonlinear stochastic differential equations

Author keywords

[No Author keywords available]

Indexed keywords

1/F NOISE; LONG RANGE CORRELATIONS; NONEXTENSIVE STATISTICAL MECHANICS; SIGNAL INTENSITIES; STOCHASTIC DIFFERENTIAL EQUATIONS; TSALLIS DISTRIBUTIONS;

EID: 83255193003     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.051125     Document Type: Article
Times cited : (38)

References (79)
  • 4
    • 33646516485 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01016429
    • C. Tsallis, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01016429 52, 479 (1988).
    • (1988) J. Stat. Phys. , vol.52 , pp. 479
    • Tsallis, C.1
  • 7
    • 73349138004 scopus 로고    scopus 로고
    • BJPHE6 0103-9733 10.1590/S0103-97332009000400002
    • C. Tsallis, Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103- 97332009000400002 39, 337 (2009).
    • (2009) Braz. J. Phys. , vol.39 , pp. 337
    • Tsallis, C.1
  • 8
    • 78650075529 scopus 로고    scopus 로고
    • TCTOAM 0040-1951 10.1016/j.tecto.2010.09.012
    • L. Telesca, Tectonophysics TCTOAM 0040-1951 10.1016/j.tecto.2010.09.012 494, 155 (2010).
    • (2010) Tectonophysics , vol.494 , pp. 155
    • Telesca, L.1
  • 10
    • 65449179946 scopus 로고    scopus 로고
    • TCTOAM 1742-5468 10.1088/1742-5468/2009/02/P02051
    • B. Kaulakys and M. Alaburda, J. Stat. Mech. TCTOAM 1742-5468 10.1088/1742-5468/2009/02/P02051 (2009) P02051.
    • J. Stat. Mech. , vol.2009 , pp. 02051
    • Kaulakys, B.1    Alaburda, M.2
  • 13
    • 33845322248 scopus 로고    scopus 로고
    • Why q-expectation values must be used in nonextensive statistical mechanics
    • DOI 10.1007/s10509-006-9198-5
    • S. Abe, Astrophys. Space Sci. APSSBE 0004-640X 10.1007/s10509-006-9198-5 305, 241 (2006). (Pubitemid 44877990)
    • (2006) Astrophysics and Space Science , vol.305 , Issue.3 , pp. 241-245
    • Abe, S.1
  • 15
    • 0032299256 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/S0378-4371(98)00437-3
    • C. Tsallis, A. R. Plastino, and R. S. Mendes, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00437-3 261, 534 (1998).
    • (1998) Physica A , vol.261 , pp. 534
    • Tsallis, C.1    Plastino, A.R.2    Mendes, R.S.3
  • 16
    • 0001574252 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.60.2398
    • D. Prato and C. Tsallis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.2398 60, 2398 (1999).
    • (1999) Phys. Rev. e , vol.60 , pp. 2398
    • Prato, D.1    Tsallis, C.2
  • 17
    • 0033242934 scopus 로고    scopus 로고
    • BJPHE6 0103-9733 10.1590/S0103-97331999000100002
    • C. Tsallis, Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103- 97331999000100002 29, 1 (1999).
    • (1999) Braz. J. Phys. , vol.29 , pp. 1
    • Tsallis, C.1
  • 18
    • 79952579189 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/93/20006
    • R. Hanel and S. Thurner, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/93/20006 93, 20006 (2011).
    • (2011) Europhys. Lett. , vol.93 , pp. 20006
    • Hanel, R.1    Thurner, S.2
  • 20
    • 0032484444 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.80.53
    • M. L. Lyra and C. Tsallis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.53 80, 53 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 53
    • Lyra, M.L.1    Tsallis, C.2
  • 21
    • 0036853246 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2002-00249-7
    • F. Baldovin and A. Robledo, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00249-7 60, 518 (2000).
    • (2000) Europhys. Lett. , vol.60 , pp. 518
    • Baldovin, F.1    Robledo, A.2
  • 22
    • 0001110865 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.57.6634
    • L. Borland, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57.6634 57, 6634 (1998).
    • (1998) Phys. Rev. e , vol.57 , pp. 6634
    • Borland, L.1
  • 23
    • 0035277742 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.63.035303
    • C. Beck, G. S. Lewis, and H. L. Swinney, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.035303 63, 035303 (R) (2001).
    • (2001) Phys. Rev. e , vol.63 , pp. 035303
    • Beck, C.1    Lewis, G.S.2    Swinney, H.L.3
  • 24
    • 0037405687 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/S0378-4371(03)00019-0
    • C. Beck and E. G. Cohen, Physica A PHYADX 0378-4371 10.1016/S0378- 4371(03)00019-0 322, 267 (2003).
    • (2003) Physica A , vol.322 , pp. 267
    • Beck, C.1    Cohen, E.G.2
  • 25
    • 15544364321 scopus 로고    scopus 로고
    • Interpretation of the nonextensivity parameter q in some applications of Tsallis statistics and Levy distributions
    • DOI 10.1103/PhysRevLett.84.2770, 2770
    • G. Wilk and Z. Włodarczyk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2770 84, 2770 (2000). (Pubitemid 40598897)
    • (2000) Physical Review Letters , vol.84 , Issue.13 , pp. 2770-2773
    • Wilk, G.1    Wlodarczyk, Z.2
  • 26
    • 0035968842 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.180601
    • C. Beck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.180601 87, 180601 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 180601
    • Beck, C.1
  • 27
    • 0035510259 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.64.056134
    • V. Latora, A. Rapisarda, and C. Tsallis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.056134 64, 056134 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 056134
    • Latora, V.1    Rapisarda, A.2    Tsallis, C.3
  • 29
    • 77958544013 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/10/105003
    • S. Drozdz, J. Kwapien, P. Oswiecimka, and R. Rak, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/10/105003 12, 105003 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 105003
    • Drozdz, S.1    Kwapien, J.2    Oswiecimka, P.3    Rak, R.4
  • 30
    • 0037179357 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.098701
    • L. Borland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 098701 89, 098701 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 098701
    • Borland, L.1
  • 31
    • 0242635612 scopus 로고    scopus 로고
    • Multiplicative noise: A mechanism leading to nonextensive statistical mechanics
    • DOI 10.1063/1.1617365
    • C. Anteneodo and C. Tsallis, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1617365 72, 5194 (2003). (Pubitemid 37434261)
    • (2003) Journal of Mathematical Physics , vol.44 , Issue.11 , pp. 5194-5203
    • Anteneodo, C.1    Tsallis, C.2
  • 32
    • 78651467263 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.061119
    • B. Coutinho dos Santos and C. Tsallis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.061119 82, 061119 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 061119
    • Coutinho Dos Santos, B.1    Tsallis, C.2
  • 33
  • 34
    • 77749278640 scopus 로고    scopus 로고
    • EPJBFY 1941-6016 10.4249/scholarpedia.1537
    • L. M. Ward and P. E. Greenwood, Scholarpedia EPJBFY 1941-6016 10.4249/scholarpedia.1537 2, 1537 (2007).
    • (2007) Scholarpedia , vol.2 , pp. 1537
    • Ward, L.M.1    Greenwood, P.E.2
  • 35
    • 35949011715 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.60.537
    • M. B. Weissman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.60. 537 60, 537 (1988).
    • (1988) Rev. Mod. Phys. , vol.60 , pp. 537
    • Weissman, M.B.1
  • 36
    • 0028902110 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.7892611
    • D. L. Gilden, T. Thornton, and M. W. Mallon, Science SCIEAS 0036-8075 10.1126/science.7892611 267, 1837 (1995).
    • (1995) Science , vol.267 , pp. 1837
    • Gilden, D.L.1    Thornton, T.2    Mallon, M.W.3
  • 37
    • 83255194338 scopus 로고    scopus 로고
    • E. Milotti (2002), e-print arXiv: physics/0204033v1 [physics.class-ph]
    • E. Milotti (2002), e-print arXiv: physics/0204033v1 [physics.class-ph].
  • 38
    • 0037381847 scopus 로고    scopus 로고
    • MCRLAS 0026-2714 10.1016/S0026-2714(02)00347-5
    • H. Wong, Microel. Reliab. MCRLAS 0026-2714 10.1016/S0026-2714(02)00347-5 43, 585 (2003).
    • (2003) Microel. Reliab. , vol.43 , pp. 585
    • Wong, H.1
  • 41
    • 70349930992 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.031143
    • R. L. S. Farias, R. O. Ramos, and L. A. da Silva, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.031143 80, 031143 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 031143
    • Farias, R.L.S.1    Ramos, R.O.2    Da Silva, L.A.3
  • 44
    • 0000055265 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.58.7013
    • B. Kaulakys and T. Meškauskas, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.58.7013 58, 7013 (1998).
    • (1998) Phys. Rev. e , vol.58 , pp. 7013
    • Kaulakys, B.1    Meškauskas, T.2
  • 45
    • 0013369638 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/S0375-9601(99)00284-4
    • B. Kaulakys, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00284-4 257, 37 (1999).
    • (1999) Phys. Lett. A , vol.257 , pp. 37
    • Kaulakys, B.1
  • 46
    • 0342794220 scopus 로고    scopus 로고
    • MCRLAS 0026-2714 10.1016/S0026-2714(00)00085-8
    • B. Kaulakys and T. Meškauskas, Microel. Reliab. MCRLAS 0026-2714 10.1016/S0026-2714(00)00085-8 40, 1781 (2000).
    • (2000) Microel. Reliab. , vol.40 , pp. 1781
    • Kaulakys, B.1    Meškauskas, T.2
  • 47
    • 0034325309 scopus 로고    scopus 로고
    • MCRLAS 0026-2714 10.1016/S0026-2714(00)00055-X
    • B. Kaulakys, Microel. Reliab. MCRLAS 0026-2714 10.1016/S0026-2714(00) 00055-X 40, 1787 (2000).
    • (2000) Microel. Reliab. , vol.40 , pp. 1787
    • Kaulakys, B.1
  • 49
    • 42749106544 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.70.020101
    • B. Kaulakys and J. Ruseckas, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.020101 70, 020101 (R) (2004).
    • (2004) Phys. Rev. e , vol.70 , pp. 020101
    • Kaulakys, B.1    Ruseckas, J.2
  • 51
    • 0034207495 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.61.6091
    • P. Arnold, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.6091 61, 6091 (2000).
    • (2000) Phys. Rev. e , vol.61 , pp. 6091
    • Arnold, P.1
  • 52
    • 4544362466 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2004.05.080
    • V. Gontis and B. Kaulakys, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.05.080 343, 505 (2004).
    • (2004) Physica A , vol.343 , pp. 505
    • Gontis, V.1    Kaulakys, B.2
  • 54
    • 0031117878 scopus 로고    scopus 로고
    • NODYES 0924-090X 10.1023/A:1008206003072
    • Y. V. Mamontov and M. Willander, Nonlinear Dyn. NODYES 0924-090X 10.1023/A:1008206003072 12, 399 (1997).
    • (1997) Nonlinear Dyn. , vol.12 , pp. 399
    • Mamontov, Y.V.1    Willander, M.2
  • 55
    • 77749328223 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.81.031105
    • J. Ruseckas and B. Kaulakys, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.031105 81, 031105 (2010).
    • (2010) Phys. Rev. e , vol.81 , pp. 031105
    • Ruseckas, J.1    Kaulakys, B.2
  • 56
    • 80053009341 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/95/60006
    • S. Erland, P. E. Greenwood, and L. M. Ward, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/95/60006 95, 60006 (2011).
    • (2011) Europhys. Lett. , vol.95 , pp. 60006
    • Erland, S.1    Greenwood, P.E.2    Ward, L.M.3
  • 59
    • 70349451543 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2009.09.011
    • V. Gontis, J. Ruseckas, and A. Kononovičius, Physica A PHYADX 0378-4371 10.1016/j.physa.2009.09.011 389, 100 (2010).
    • (2010) Physica A , vol.389 , pp. 100
    • Gontis, V.1    Ruseckas, J.2    Kononovičius, A.3
  • 60
    • 4243415268 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.67.026106
    • C. Tsallis and A. M. C. Souza, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.026106 67, 026106 (2003).
    • (2003) Phys. Rev. e , vol.67 , pp. 026106
    • Tsallis, C.1    Souza, A.M.C.2
  • 62
    • 77950578479 scopus 로고    scopus 로고
    • PHYADX 1751-8113 10.1088/1751-8113/43/16/165208
    • M. G. Hahn, X. Jiang, and S. Umarov, J. Phys. A: Math. Theor. PHYADX 1751-8113 10.1088/1751-8113/43/16/165208 43, 165208 (2010).
    • (2010) J. Phys. A: Math. Theor. , vol.43 , pp. 165208
    • Hahn, M.G.1    Jiang, X.2    Umarov, S.3
  • 63
    • 79251483166 scopus 로고    scopus 로고
    • PTRMAD 1364-503X 10.1098/rsta.2010.0280
    • C. Beck, Philos. Trans. R. Soc. A PTRMAD 1364-503X 10.1098/rsta.2010.0280 369, 453 (2011).
    • (2011) Philos. Trans. R. Soc. A , vol.369 , pp. 453
    • Beck, C.1
  • 65
    • 33750518251 scopus 로고    scopus 로고
    • EUPNAS 0531-7479 10.1051/epn:2005603
    • C. Beck, E. G. D. Cohen, and S. Rizzo, Europhys. News EUPNAS 0531-7479 10.1051/epn:2005603 36, 189 (2005).
    • (2005) Europhys. News , vol.36 , pp. 189
    • Beck, C.1    Cohen, E.G.D.2    Rizzo, S.3
  • 66
    • 33846855820 scopus 로고    scopus 로고
    • Statistics of three-dimensional Lagrangian turbulence
    • DOI 10.1103/PhysRevLett.98.064502
    • C. Beck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.064502 98, 064502 (2007). (Pubitemid 46220448)
    • (2007) Physical Review Letters , vol.98 , Issue.6 , pp. 064502
    • Beck, C.1
  • 67
    • 33645989763 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2006.01.030
    • C. Beck, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.01.030 365, 96 (2006).
    • (2006) Physica A , vol.365 , pp. 96
    • Beck, C.1
  • 69
    • 0348195687 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.68.046122
    • M. Ausloos and K. Ivanova, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.046122 68, 046122 (2003).
    • (2003) Phys. Rev. e , vol.68 , pp. 046122
    • Ausloos, M.1    Ivanova, K.2
  • 70
    • 15944416420 scopus 로고    scopus 로고
    • Bridging a paradigmatic financial model and nonextensive entropy
    • DOI 10.1209/epl/i2004-10436-6
    • S. M. D. Queiros and C. Tsallis, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10436-6 69, 893 (2005). (Pubitemid 40435918)
    • (2005) Europhysics Letters , vol.69 , Issue.6 , pp. 893-899
    • Duarte Queiros, S.M.1    Tsallis, C.2
  • 71
    • 6344229767 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2004.06.041
    • S. M. D. Queiros, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.06.041 344, 619 (2004).
    • (2004) Physica A , vol.344 , pp. 619
    • Queiros, S.M.D.1
  • 72
    • 29144505479 scopus 로고    scopus 로고
    • On the connection between financial processes with stochastic volatility and nonextensive statistical mechanics
    • DOI 10.1140/epjb/e2005-00366-1
    • S. M. D. Queiros and C. Tsallis, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00366-1 48, 139 (2005). (Pubitemid 41809943)
    • (2005) European Physical Journal B , vol.48 , Issue.1 , pp. 139-148
    • Queiros, S.M.D.1    Tsallis, C.2
  • 73
    • 23444442382 scopus 로고    scopus 로고
    • On the emergence of a generalised Gamma distribution. Application to traded volume in financial markets
    • DOI 10.1209/epl/i2005-10109-0
    • S. M. D. Queiros, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005- 10109-0 71, 339 (2005). (Pubitemid 41111339)
    • (2005) Europhysics Letters , vol.71 , Issue.3 , pp. 339-345
    • Queiros, S.M.D.1
  • 75
    • 0033410115 scopus 로고    scopus 로고
    • EPJBFY 0893-9454 10.1093/rfs/12.4.721
    • D. Ahn and B. Gao, Rev. Fin. Studies EPJBFY 0893-9454 10.1093/rfs/12.4.721 12, 721 (1999).
    • (1999) Rev. Fin. Studies , vol.12 , pp. 721
    • Ahn, D.1    Gao, B.2
  • 76
    • 85008860520 scopus 로고    scopus 로고
    • EPJBFY 1469-7688 10.1088/1469-7688/1/2/305
    • R. F. Engle and A. Paton, Quantum Finance EPJBFY 1469-7688 10.1088/1469-7688/1/2/305 1, 237 (2001).
    • (2001) Quantum Finance , vol.1 , pp. 237
    • Engle, R.F.1    Paton, A.2
  • 78
    • 3042831202 scopus 로고    scopus 로고
    • A theory of power-law distributions in financial market fluctuations
    • DOI 10.1038/nature01624
    • X. Gabaix, P. Gopikrishnan, V. Plerou, and H. E. Stanley, Nature NATUAS 0028-0836 10.1038/nature01624 423, 267 (2003). (Pubitemid 40852693)
    • (2003) Nature , vol.423 , Issue.6937 , pp. 267-270
    • Gabaix, X.1    Gopikrishnan, P.2    Plerou, V.3    Stanley, H.E.4


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