  The recent availability of digital traces generated by phone calls and online
logins has significantly increased the scientific understanding of human
mobility. Until now, however, limited data resolution and coverage have
hindered a coherent description of human displacements across different spatial
and temporal scales. Here, we characterise mobility behaviour across several
orders of magnitude by analysing ~850 individuals' digital traces sampled every
~16 seconds for 25 months with ~10 meters spatial resolution. We show that the
distributions of distances and waiting times between consecutive locations are
best described by log-normal distributions and that natural time-scales emerge
from the regularity of human mobility. We point out that log-normal
distributions also characterise the patterns of discovery of new places,
implying that they are not a simple consequence of the routine of modern life.
