Complex Systems Theory And Crashes Of Cryptocurrency Market

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The paper focuses on the study of the effect of extended memory and the analysis of the multifractal properties of the time series of the most capitalized cryptocurrencies for the period from 2010 to 2018. To do this, the Hurst exponent is calculated by each R/S evaluation and the Detrended Fluctuation Analysis being much more stable in the case of non-stationary time series. We also discovered that (i) time series became anti-persistent for the duration of the periods of industry crisis phenomena and turbulence (ii) the Hurst exponents showed important fluctuations about the worth of .5. In addition, we conduct a multifractal analysis of cryptocurrency time series that makes it possible for us to assess the state and stability of the industry.The calculated spectrum of multifractality shows that the cryptocurrency market place comes out of a crisis state, considering that the width of the multifractality spectrum has the maximum worth for all cryptocurrencies. Our results show that time series of cryptocurrencies to be persistent throughout practically the whole study period that do not enable accepting the hypothesis regarding the efficiency of the cryptocurrency market.

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