a, Schematic illustration of the BGP update return intervals. Shown are the intervals
τ 1 and
τ 2 calculated for threshold
q = 1 and
q = 2 respectively.
b, Typical sequence of 500 BGP update return intervals for
NTT, where
q = 4, calculated for (magenta) original and (black) shuffled data.
c, The distribution function
P q(
τ) of BGP update return intervals of the
NTT, calculated for different values of
q. The inset depicts the average return interval
as a function of threshold
q.
d,
P q(
τ) for BGP update return intervals of the
NTT monitor calculated for
q = 1. Original data is shown with red while shuffled data is shown with black.
e, Scaled plots of the BGP return intervals for the
NTT monitor.
f, The mean conditional return interval
as a function of preceding return interval
τ 0 for the
NTT monitor. Both
and
τ 0 are normalized with the mean return interval (
). For BGP updates without memory we expect
, as supported by the open symbols obtained for shuffled return interval data.