Econophysics and the fractal analysis of financial time series

M.M. Dubovikov^a, b, N.V. Starchenko^a, b
^aINTRAST Company, ul. Aleksandra Solzhenitsyna 36, build. 1, Moscow, 109004, Russian Federation
^bMoscow State Engineering Physics Institute (State University), Kashirskoe shosse 31, Moscow, 115409, Russian Federation

Econophysics and evolutionary economics (Scientific session of the Physical Sciences Division of the Russian Academy of Sciences, 2 November 2010).
Dedicated to the memory of Benoit Mandelbrot (20.11.1924–14.10.2010).

PACS: 05.40.−a, 05.45.Df, 89.65.Gh (all)
DOI: 10.3367/UFNe.0181.201107k.0779
URL: https://ufn.ru/en/articles/2011/7/j/
Web of Science

000296148400009
Scopus

2-s2.0-80054729084
ADS NASA

2011PhyU...54..754D
Citation: Dubovikov M M, Starchenko N V "Econophysics and the fractal analysis of financial time series" Phys. Usp. 54 754–761 (2011)

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Accepted: 2nd, November 2010

Оригинал: Дубовиков М М, Старченко Н В «Эконофизика и фрактальный анализ финансовых временных рядов» УФН 181 779–786 (2011); DOI: 10.3367/UFNr.0181.201107k.0779

References (24) ↓ Cited by (8) Similar articles (20)

Mantegna R N, Stanley H E Nature 376 46 (1995)
Mandelbrot B J. Business 36 394 (1963)
Mandelbrot B B The Fractal Geometry Of Nature (San Francisco: W.H. Freeman, 1982)
Mandelbrot B Les Objets Fractals (Paris: Flammarion, 1975); Mandelbrot B Fractals (San Francisco: W.H. Freeman, 1977)
Hausdorff F Math. Ann. 79 157 (1919)
Malinetskii G G, Potapov A B, Podlazov A V Nelineinaya Dinamika. Podkhody, Rezul’taty, Nadezhdy (M.: URSS, 2006)
Aleksandrov P S, Pasynkov B A Vvedenie v Teoriyu Razmernosti (M.: Nauka, 1973)
Brown J et al. Working Papers in Economics 08/13 (Christchurch, New Zealand: Univ. of Canterbury, Department of Economics and Finance, 2008)
Clegg R Int. J. Simulation: Syst., Sci. Technol. 7 (2) 3 (2006)
Mishura Y Stochastic Calculus For Fractional Brownian Motion And Related Processes (New York: Springer, 2007)
Brodu N nlin/0511041
Kantz H, Schreiber T Nonlinear Time Series Analysis (Cambridge: Cambridge Univ. Press, 1997)
Abarbanel H D I Analysis Of Observed Chaotic Data (New York: Springer, 1996)
Peters E E Fractal Market Analysis: Applying Chaos Theory To Investment And Economics (New York: J. Wiley, 1994); Peters E Fraktal’nyi Analiz Finansovykh Rynkov: Primenenie Teorii Khaosa v Investitsiyakh i Ekonomike (M.: Internet-treiding, 2004)
Peters E E Chaos And Order In The Capital Markets (New York: Wiley, 1996); Peters E Khaos i Poryadok na Rynkakh Kapitala (M.: Mir, 2000)
Dubovikov M M, Starchenko N S, Dubovikov M S Physica A 339 591 (2004)
Bachelier L The Random Character Of Stock Market Prices (Ed. P H Cootner) (Cambridge, Mass.: M.I.T. Press, 1964) p. 17
Kendall M G J. R. Statistical Soc. 96 11 (1953)
Samuelson P A Industrial Management Rev. 6 13 (1965)
Shiryaev A N Osnovy Stokhasticheskoi Finansovoi Matematiki Vol. 1 (M.: Fazis, 1998)
Mandelbrot B B, Van Ness J W SIAM Rev. 10 422 (1968)
Shiryaev A N Teoriya Veroyatnostei Ee Primeneniya 39 5 (1994); Shiryaev A N Theor. Probab. Appl. 39 (1) 1 (1994)
Shiryaev A N Obozrenie Priklad. Promysh. Mat. 1 780 (1994)
Polterovich V M Ekonomicheskaya Nauka Sovremennoi Rossii (1) 46 (1998)