Complex Systems Theory And Crashes Of Cryptocurrency Market

The paper focuses on the study of the impact of extended 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 analysis and the Detrended Fluctuation Analysis becoming 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 market place crisis phenomena and turbulence (ii) the Hurst exponents showed considerable fluctuations about the worth of .5. In addition, we conduct a multifractal analysis of cryptocurrency time series that allows us to assess the state and stability of the market place.The calculated spectrum of multifractality shows that the cryptocurrency market comes out of a crisis state, since the width of the multifractality spectrum has the maximum value for all cryptocurrencies. Our results show that time series of cryptocurrencies to be persistent throughout nearly the entire study period that do not allow accepting the hypothesis regarding the efficiency of the cryptocurrency market place.

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