Econophysics Library


Articles:

  1. L.A.N. Amaral, S.V. Buldyrev, S. Havlin, M.A. Salinger, and H.E. Stanley: Power Law for a System of Interacting Units with Complex Internal Structure Phys. Rev. Lett. 80 (1998) 1385-1388
  2. A. Arneodo, J.-F. Muzy and D. Sornette: "Direct" cascade in the stock market, Eur. Phys. J. B 2 (1998) 277-281
  3. M.Ausloos: The money games physicists play, Europhys. News 29 (1998) 70
  4. J.-P. Bouchaud, P. Cizeau, L. Laloux and M. Potters: Mutual attractions: physics and finance, Phyisics World, January 1999
  5. J.-P. Bouchaud and R. Cont: A Langevin approach to stock market fluctuations and crashes, Eur. Phys. J. B 6 (1998) 543-550

  6. [downloadable: bouchaud.ps.gz]
  7. J.-P. Bouchaud and D. Sornette: The Black-Scholes option pricing problem in mathematical finance: generalisation and extensions for a large class of stochastic processes, J. Phys. 1 France 4 (1994) 863-881
  8. Caldarelli G., Marsili M., Zhang Y.-C. : A prototype model of stock exchange, Europhysics Letters 40 (1997) 479
  9. P. Cizeau, Y. Liu, M. Meyer, C.-K. Peng, H. E. Stanley: Volatility distribution in the S&P500 stock index, Physica A 245 (1997) 441-445
  10. R. Cont: Statistical Finance: empirical study and theoretical modeling of price fluctuations in financial markets , PhD dissertation, Universite' de Paris XI
  11. R. Cont: Modeling Economic Randomness: Statistical Mechanics of Market Phenomena, to appear in M.T. Batchelor and L.T. Wille (Eds.): Statistical Physics in the eve of the 21st Century, World Scientific, Singapore, 1999
  12. M. Dacorogna: Econophysicists find a forum, Physics World, September 1999
  13. S. Galluccio, J.-P. Bouchaud, and M. Potters: Rational decisions, random matrices and spin glasses, Physica A 259 (1998) 449-456
  14. S. Galluccio, G. Caldarelli, M. Marsili, Y.-C. Zhang: Scaling in currency exchange, Physica A 245 (1997) 423-436
  15. S. Galluccio, Y.-C. Zhang: Products of random matrices and ivestment strategies, Phys. Rev. E 54 (1996) R4516
  16. S. Ghashghaie, W. Breymann, J. Peinke, P. Talkner, Y. Dodge: Turbolent cascades in foreign exchange markets, Nature 381 (1996) 76
  17. P. Gopikrishnan, M Meyer, L.A.N. Amaral and H.-E. Stanley: Inverse cubic law for the distribution of stock price variations, The European Physical Journal B 3 (1998) 139-140
  18. T. Hirabayashi, H. Takayasu, H. Miura. and K. Hamada: The behavior of a threshold model of market price in stock exchange, Fractals 1 (1993) 29
  19. A. Johansen and D. Sornette: Modeling the stock market prior to large crashes, Eur. Phys. J. B 9 (1999) 167-174 [abstract]
  20. A. Johansen and D. Sornette: Stock market crashes are outliers, Eur. Phys. J. B 1 (1998) 141-143
  21. N.F. Johnson, S. Jarvis, R. Jonson, P. Cheung, Y.R. Kwong, P.M. Hui: Volatility and agent adaptability in a self-organizing market, Physica A 258 (1998) 230-236
  22. L. Kador: Microscopic analysis of currency and stock exchange markets Phys. Rev. E 60 (1999) 1441-1449
  23. Valery A. Kholodnyi: A nonlinear Partial Differential Equation for American Options in the Entire Domain of the State Variable, Nonlinear Analysis, Theory, Methods and Applications 30 (8)  (1997)  5059-5070, (Proceedings of the Second World Congress of Nonlinear Analysts, Athens, Greece,  1996).
  24. J. Laherrere, D. Sornette: Stretched exponential distributions in nature and economy: "fat tails" with characteristic scales, The European Physical Journal B 2 (1998) 525-539
  25. L. Laloux, P. Cizeau, J.-P. Bouchaud and M. Potters: Noise Dressing of Financial Correlation Matrices , Phys. Rev. Lett. 83 (1999) 1467-1470
  26. Y. Lee, L.A.N. Amaral, D. Canning, M. Meyer, and H.E. Stanley: Universal Features in the Growth Dynamics of Complex Organizations Phys. Rev. Lett. 81 (1998)
  27. M. Levy, N. Persky and S. Solomon: Microscopic Simulation of the Stock Market: the Effect of Microscopic Diversity, J. Phys. I France 5 (1995) 1087-1107
  28. W. Li: Absence of 1/f spectra in Dow Jones daily average, International Journal of Bifurcation and Chaos 1 1991 p583
  29. Y. Liu, P. Cizeau, M. Meyer, C.-K.Peng, H. E. Stanley: Correlations in economic time series Physica A 245 (1997) 437-440
  30. B.B. Mandelbrot: A Multifractal Walk down Wall Street Scientific American, February 1999
  31. R.N. Mantegna: Hierarchical structure in financial markets, Eur. Phys. J. B 11 (1999) 193-197 [cond-mat/9802256]
  32. R.N Mantegna: Limit theorems and price changes in financial markets, Philosofical Magazine B 77 (1998) 1353-1356
  33. R. N. Mantegna: Levy walks and enhanced diffusion in Milan Stock exchange, Physica A 179 (1991) 232-242
  34. R. N. Mantegna, H. E. Stanley: Stochastic Processes with Ultraslow Convergence to a Gaussian: The Truncated Levy Flight, Physical Review Letters 73 (1994) 2946-2949
  35. R. N. Mantegna ans H. E. Stanley: Econophysics: Scaling and its Breakdown in Finance, J. Stat. Phys. 89 (1997) 469-479
  36. R. N. Mantegna, H. E. Stanley: Modeling of financial data: Comparison of the truncated levy flight and the ARCH(1) and GARCH(1,1) processes, Physica A 254 (1998) 77-84
  37. R. N. Mantegna, H. E. Stanley: Scaling behaviour in the dynamics of an economics index, Nature 376 (1995) 46-49
  38. R. N. Mantegna, H. E. Stanley: Turbolence and financial markets Nature 383 (1996) 587-588
  39. R. N. Mantegna: Fast, accurate algorithm for numerical simulation of Levy stable stochastic processes, Physical Review E 49 (1994) 4677-4683
  40. M. Marsili, S. Masvlov and Y.-C. Zhang: Dynamical optimization thery of a divesified portfolio, Physica A 253 (1998) 403-418
  41. S. Mercik and R. Weron: Scaling in currency exchange: a conditionally exponential decay approach, Physica A 267 (1999) 239-250
  42. B. Pilgram and D.T. Kaplan: A comparison of estimators for 1/f noise (1998) Physica D 114,p108
  43. J. M. Pimbley: Physicists in Finance, Physics Today January 1997 42
  44. V. Plerou, P. Gopikrishnan, B. Rosenow, L. A. N. Amaral, and H. E. Stanley: Universal and Nonuniversal Properties of Cross Correlations in Financial Time Series, Phys. Rev. Lett. 83 (1999) 1471-1474
  45. M. Potters, R. Cont, J.-P. Bouchaud: Financial markets as adaptive ecosystems Europhysics Letters 41 (1998) 239-244
  46. A. L. Robinson: The Physics of High Finance, Physics Today June 1994 55-56
  47. B.M Roehmer, D. Sornette: The sharp peak-flat trough pattern and critical speculation, The European Physical Journal B 4 (1998) 387-399
  48. Sato A.-H. Takayasu H.: Dynamical numerical models of stock market prices: from microscopic determinism to macroscopic randomness (1998) Physica A 250, p231
  49. E. Scalas: Scaling in the market of futures Physica A 253 (1998) 394-402
  50. Shlesinger M. F., Zaslavsky G. M., Klafter J. : Strange Kinetics, Nature 363 (1993) 31
  51. D. Sornette, A. Johansen: Large financial crashes, Physica A 245 (1997) 411-422
  52. D. Sornette: String formulation of the dynamics of the forward interest rate curve, The European Physical Journal B 3 (1998) 125-137 [downloadable: sornette98.pdf]
  53. D. Sornette: Multiplicative processes and power laws (1998) Physical Review E 57, p 4811-4813
  54. D. Stauffer and D. Sornette: Log-periodic oscillations for biased diffusion on random lattice Physica A 252 (1998) 271-277
  55. G. Stix: A Calculus of Risk, Scientific American, May 1998 70-75
  56. Takayasu H., Miura H., Hirabayashi T. and Hamada K.: Statistical properties of deterministic threshold elements - the case of market price, Physica A 184 (1992) 127
  57. Takayasu H., Sato A.-H. and Takayasu M.: Stable infinite fluctuations in randomly amplified Langevin systems, Phys. Rev. Lett. 79 (1997) 966
  58. Takayasu H. and Okuyama K.: Country dependence on company size distributions and a numerical model based on competition and cooperation, Fractals 6 (1998) 67
  59. N. Vandewalle, M. Ausloos, Ph. Boveroux and A. Minguet: Visualizing the log-periodic pattern before crashes, Eur. Phys. J B 9 (1999) 355-359

  60. [abstract]
  61. N.Vandewalle and M.Ausloos: Coherent and random sequences in financial fluctuations, Physica A 246 (1997) 454
  62. N. Vandewalle, M Ausloos: Multi-affine analysis of typical currency exchange rates, The European Physical Journal B 4 (1998) 257-261 [downloadable: vandewalle98.pdf]
  63. N. Vandewalle, M. Ausloos, Ph. Boveroux and A. Minguet: How the financial crash of october 1997 could have been predicted, The European Physical Journal B 4 (1998) 139-143
  64. N. Vandewalle, P. Boveroux, A. Minguet, M. Ausloos: The crash of October 1987 seen as a phase transition: amplitude and universality, Physica A 255 (1998) 201-210
  65. N.Vandewalle and M.Ausloos: Sparseness and Roughness of foreign exchange rates, Int. J. Mod. Phys. C 9 (1998) 711
  66. N.Vandewalle and M.Ausloos: Extended Detrended Fluctuation Analysis for financial data,Int. J. Comput. Anticipat. Syst. 1 (1998) 342
  67. N.Vandewalle, M.Ausloos and Ph.Boveroux: Detrended Fluctuation Analysis of the foreign exchange market, in Proc. of Econophys. Workshop , Budapest, Hungary, 1997, to be published in Kluwer series
  68. N.Vandewalle and M.Ausloos: Crossing of two mobile averages: an original method for measuring the roughness exponent, Phys. Rev. E,in press (november 1998)
  1. Y. Ait-Sahalia and A. Lo: Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices, J. Finance LIII (1998) 499-547 [downloadable: lo_jf.ps.gz]
  2. L.C. Beltrametti: Bell Inequalities in Economics?, Quad. Dip. Econ. Pol., Univ. Siena (1994) [downloadable: Bell.pdf pp 12]
  3. F. Black and M. Scholes: The pricing of options and corporate liabilities, Journal of Political Economy 81 (1973) 637-659
  4. J. Hull and A. White: The Pricing of Options on Assets with Stochastic Volatilities, The Journal of Finance XLII (1987) 281-300
  5. Valery A. Kholodnyi and John F. Price: Foreign Exchange Option Symmetry Based on Domestic-Foreign Payoff Invariance, Proceedings of the IEEE/IAFE Conference on Computational Intelligence for Financial Engineering (CIFEr), New York, (1997), 164-170.
  6. Valery A. Kholodnyi: A Semilinear Evolution Equation for General Derivative Contracts, in John F. Price, Editor, Derivatives and Financial Mathematics,  Nova Science Publishers, Inc., Commack, New York,  1997, 119 -138, (Proceedings of the Special Session on Derivatives and Financial Mathematics of the 909th Meeting of the American Mathematical Society, Iowa City, Iowa, 1996.)
  7. Valery A. Kholodnyi and Milan N. Lukic: Random Field Formulation for the Term Structure of Interest Rates, In John F. Price, Editor, Derivatives and Financial Mathematics,  Nova Science Publishers, Inc., Commack, New York,  1997,  139-143, (Proceedings of the Special Session on Derivatives and Financial Mathematics of the 909th Meeting of the American Mathematical Society, Iowa City, Iowa, 1996.)
  8. A.W. Lo and A.C. MacKinlay: Stock market prices do not follow random walks: evidence from a simple specification test, The Review of Financial Studies 1 (1988) 41-66 [downloadable: lo_mck_88.ps.gz]
  9. B. Mandelbrot: The Variation of Certain Speculative Prices, J. Business 36 (1963) 394-419
  10. Robert C. Merton: Optimum Consumption and Portfolio Rules in a Continuos-Time Model, Journal of Economic Theory 3 (1971) 373-413
  11. B.M. Roehner: The role of transportation costs in the economics of commodity markets, American Journal of Agricultural Economics 78 (1996) 339-353
  12. B.M. Roehner: Spatial analysis of real estate price bubbles: Paris 1984-1993, Regional Science and Urban Economics (1998, in press)
  13. P. Wilmott and A. Oztikel: Uncertain parameters,  an empirical stochastic volatility model and confidence limits, Int. J. Theor. Appl. Finance 1 (1998) 175-189.
  1. M.A. Baduel: Il manager dei fulmini, Inserto D, Repubblica, 28/09/1999
  2. A. Del Rosso: Borsa? E' un fluido turbolento, Tutto Scienze, La Stampa, 14/10/1998 (in italian)
  3. S. Gershon:Taking your skills all the way to the bank, Nature  393 (June 4, 1998) 496
  4. G. Taubes: Wall Street Smarts, Discover, October 1998, 104-113
  5. A new approach to financial risk, The Economist, October 17th 1998, 15-16
  6. The risk business, The Economist, October 17th 1998, 21-24
  7. B. Riley: When rocket scientists crash out of orbit, Financial Times, April the 16th, 1996

Books:


  1. Anderson P. W. , Arrow K. J. , Pines D. : The Economy as an Evolving Complex System, Addison-Wesley, Redwood City (1988)

  2. [ link to santafe.edu book info]
  3. W.B. Arthur, S.N. Durlauf e D.A. Lane: The Economy as an Evolving Complex System II, Addison-Wesley, Redwood City (1997)

  4. [ link to santafe.edu book info]
  5. R. Cooke and D. Costantini (eds): The Foundations of Statistical Methods in Biology, Physics and Economics, Kluwer, Dordrecht (1991)
  6. P. Embrechts, C. Kluppelberg, T. Mikosch, M. Yor (Ed), I Karatzas (Ed.): Modelling Extremal Events for Insurance and Finance, Springer (1997)
  7. Kertesz J. and Kondor J. (eds): Econophysics:  an Emerging Science, Kluwer Academic Publishers, Dordrecht (NL), in press
  8. Valery A. Kholodnyi and John F. Price: Foreign Exchange Option Symmetry, World Scientific, (1998)
  9. Valery A. Kholodnyi and John F. Price: Foundations of Foreign Exchange Option Symmetry, IES Press, (1998)
  10. Valery A. Kholodnyi: Beliefs-Preferences Gauge Symmetry Group and Replication of Contingent Claims in a General Market Environment, IES Press, (1998)
  11. B.B. Mandelbrot: The Fractal Geometry of Nature, Freeman, San Francisco (1982)
  12. B.B. Mandelbrot: Fractals and Scaling in Finance, Springer-Verlag, New York (1997)
  13. R.N. Mantegna and H.E. Stanley: Scaling Approach to Finance, Cambridge University Press, Cambridge, UK, in press
  14. A. Medio and G. Gallo: Chaotic Dynamics: Theory and Applications to Economics, Cambridge University Press (1995)
  15. E.W. Montroll and W.W Badger: Introduction to Quantitative Aspects of Social Phenomena, Gordon & Breach, London, (1975)
  16. B.M. Roehner: Theory of markets. Trade and space-time fluctuations of commodity prices. Springer-Verlag, Berlin [410pp] (1995)
  17. V. Bhansali: Pricing and Managing Exotic and Hybrid Options. McGraw-Hill [364pp] (1998)
  1. M. Basseville and I.N. Nikiforov: Detection od Abrupt Chamges - Theory and Applications, Prentice-Hall [http://www.irisa.fr/sigma2/kniga/]
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  3. W. Feller: An introduction to Probabilityt Theory and Its Applications, Wiley, New York (1971)
  4. C.W. Gardiner: Handbook of Stochastic Methods, Springer, Berlin (1994)
  5. P.E. Kloeden and E. Platen: Numerical Solution of Stochastic Differential Equations, Springer, Berlin (1995)
  6. Gnedenko B. V., Kolmogorov A. : Limit distribution for Sums of Indipendent Random Variables, Addison-Wesley, Cambridge MA (1954)
  7. E. J. Gumbel: Statistics of Extremes, Columbia University Press, New York (1958)
  8. I. Karatzas and S. E. Shreve: Brownian Motion and Stochastic Calculus, Springer Verlag, New York, (1997), 2nd edition
  9. P. Levy : Theorie de l' addition des variables aleatoires, Gauthier-Villars, Paris (1937)
  10. P. Levy: Processesus Stochastiques et Mouvement Brownien Gauthier-Villars, Paris 1954. pp. 435 [1st edn, 1948] reprinted in 1992 by Editions Jaques Gabay (Les Grands Classiques Gauthier-Villars)
  11. Risken H. : The Fokker-Planck equation: methods of solution and applications, Springer Verlag, Berlin (1989)
  12. Samorodnitsky G. Taqqu M. S. : Stable non Gaussian Random Processes, Chapman & Hall, New York (1994)
  13. Michael F. Shlesinger (ed), George M. Zaslavskii, Uriel Frisch: Levy Flights and Related Topics in Physics: Proceedings of the International Workshop Held at Nice, France, 27-30 June 1994, Springer Verlag (1996)

  14.  
  1. M. Amram and N. Kulatilaka: Real Options: Managing Strategic Investment in a Uncertain World, HSB Press (1999) [A Review (in italian)]
  2. M. Avellaneda: Pricing Options and Derivative Securities; An Engineering Approach. Chapman & Hall [268pp] (1999)
  3. L. J. B. Bachelier: Theorie de la Speculation, Gauthier-Villars, Paris (1900), Reprinted in 1995, Editions Jaques Gabay, Paris (1995)
  4. J. P. Bouchaud, M. Potters: Theorie des risques financiers, Alea Saclay (1997)
  5. John Y. Campbell, Andrew W. Lo, Archie Craig MacKinlay, John W. Campbell, Andrew Y. Lo: The Econometrics of Financial Markets, Princeton University Press, Princeton (1997)
  6. P. H. Cootner (ed): The Random Character of Stock Prices, MIT press, Cambridge, Mass. (1964)
  7. Cox D. R., Hinkley D. V. and Barndorff-Nielsen : Time series models in econometrics, finance and other fields, Chapman & Hall (1996)
  8. G. J. Deboeck and T. Kohonen (eds): Visual Explorations in Finance with Self Organizing Maps, Springer Finance, New York (1998)
  9. D. Duffie: Security Markets: Stochastic Models, Academic Press, New York (1988)
  10. D. Duffie: Dinamic Asset Pricing Theory,  Princeton University Press, Princeton (1996)
  11. E. J. Elton and M.J. Gruber: Modern Portfolio Theory and Investment Analysis, John Wiley & Sons, New York (1991)
  12. S. Focardi and C. Jonas: Modeling the Market: New Theories and Techniques, Frank J Fabozzi Assoc. (1997)
  13. John C. Hull: Options, Futures, and Other Derivatives, Prentice Hall, New York (1997)
  14. I. Karatzas and S. E. Shreve: Methods of Mathematical Finance, Springer Verlag, New York (1998)
  15. B.G. Malkiel: A Random Walk Down Wall Street, Norton & Company, New York, 6th edition (1996)
  16. J. P. Morgan, Reuters: RiskMetrics-Technical Document New York (1996) [downloadable: chapter 12345  (pdf files)]
  17. M. Musiela & M. Rutkowski: Martingale Methods in Finacial Modelling, Springer Verlag, New York (1997)
  18. Salih N. Neftci: An Introduction to the Mathematics of Financial Derivatives, Academic Pr (1996)
  19. E. E. Peter: Fractal Market Analysis, John Wiley and Sons, New York (1994)
  20. Steven Shreve's Lectures on Stochastic Calculus and Finance (Download)
  21. P. Wilmott, S. Howison, J. Dewynne: The Mathematics of Financial Derivatives -A Student Introduction-, Cambridge University Press, Cambridge, UK (1995)



  1. C.M. Bishop: Neural Network for Pattern Recognition, Claredon Press - Oxford, New York (1995)
  2. J.A. Dente and  R.V. Mendes: Characteristic functions and process identification by neural networks, Neural Networks 10 (1997) 1465-1471 [physics/9712035]
  3. J. Hertz, A. Krogh and R. Palmer: Introduction to the Theory of Neural Computation, Addison-Wesley, Reading MA (1991)
  4. T. Poggio and F. Girosi: Networks for Approximation and Learning (1990) Proceedings of the IEEE, special issue: Neural Networks I: Theory and Modeling 78, 1481-1497
  5. H. White: Artificial Neural Networks: Approximation and Learning Theory, Blacwell Publishers, Cambridge MA (1992)

  1. G. J. Deboeck and T. Kohonen (eds): Visual Explorations in Finance with Self Organizing Maps, Springer Finance, New York (1998)
  2. J. A. Hutchinson, A. Lo and T. Poggio: A Nonparametric Approach to the Pricing and Hedging of Derivative Securities Via Learning Networks (1994) Journal of Finance 49, p 851-889 [downloadable: postscript and gzipped file pp 30]
  3. A.-P. N. Refenes, A. N. Burgess, Y. Bentz: Neural Networks in Financial Engineering: A Study in Methodology (1997) IEEE Transactions on Neural Networks vol 8, n 6, November 1997


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Last update:  January 22,  2000