Before revision:  We apply this analysis to studying time series consisting of inter-event times. As a result, we discern the non-monotonic behavior of the generalized Hurst exponent - the fundamental exponent studied by us - and hence a multi-branched left-sided spectrum of dimensions .
After revision:  We apply this analysis to studying time series consisting of inter-event or waiting times, which are an essential element of the popular continuous-time random walk formalism. The core of this extended multifractal analysis is the non-monotonic behavior of the generalized Hurst exponent - the fundamental exponent studied by us - and hence a multi-branched left-sided spectrum of dimensions .