  The records statistics in stationary and non-stationary fractal time series
is studied extensively. By calculating various concepts in record dynamics, we
find some interesting results. In stationary fractional Gaussian noises, we
observe a universal behavior for the whole range of Hurst exponents. However,
for non-stationary fractional Brownian motions the record dynamics is crucially
dependent on the memory, which plays the role of a non-stationarity index,
here. Indeed, the deviation from the results of the stationary case increases
by increasing the Hurst exponent in fractional Brownian motions. We demonstrate
that the memory governs the dynamics of the records as long as it causes
non-stationarity in fractal stochastic processes, otherwise, it has no impact
on the records statistics.
