Complex Systems Theory And Crashes Of Cryptocurrency Market

The paper focuses on the study of the impact of lengthy 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 becoming far more steady in the case of non-stationary time series. We also found that (i) time series became anti-persistent in the course of the periods of market crisis phenomena and turbulence (ii) the Hurst exponents showed significant fluctuations about the value 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 the fact that the width of the multifractality spectrum has the maximum value for all cryptocurrencies. Our final results show that time series of cryptocurrencies to be persistent during pretty much the entire study period that do not enable accepting the hypothesis concerning the efficiency of the cryptocurrency industry.

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