Before revision: In this paper, we show that the behaviors of price fluctuations in  cryptocurrency markets can also be characterized by a Levy's stable distribution  under certain conditions of time intervals ranging from 30 minutes to 4 hours.
After revision: In this paper, we show that the behaviors of price fluctuations in cryptocurrency markets can also be characterized by a Levy's stable distribution with alpha = 1.4, which indicates fatter tails compared to a Gaussian distribution. Moreover, we have come to realize the limitations of the stable model especially under certain conditions of time intervals ranging from 30 minutes to 4 hours.