Complex Systems Theory And Crashes Of Cryptocurrency Market

The paper focuses on the study of the effect of lengthy memory and the evaluation 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 both R/S evaluation and the Detrended Fluctuation Analysis getting a lot more steady in the case of non-stationary time series. We also found that (i) time series became anti-persistent throughout the periods of marketplace crisis phenomena and turbulence (ii) the Hurst exponents showed important fluctuations about the value of .5. In addition, we conduct a multifractal analysis of cryptocurrency time series that permits us to assess the state and stability of the market.The calculated spectrum of multifractality shows that the cryptocurrency marketplace comes out of a crisis state, since 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 in the course of just about the entire study period that do not let accepting the hypothesis concerning the efficiency of the cryptocurrency market place.

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