  The fractional quantum Hall effect (FQHE) is known to host anyons,
quasiparticles whose statistics is intermediate between bosonic and fermionic.
We show here that Hong-Ou-Mandel (HOM) interferences between excitations
created by narrow voltage pulses on the edge states of a FQHE system at low
temperature show a direct signature of anyonic statistics. The width of the HOM
dip is universally fixed by the thermal time scale, independently of the
intrinsic width of the excited fractional wavepackets. This universal width can
be related to the anyonic braiding of the incoming excitations with thermal
fluctuations created at the quantum point contact. We show that this effect
could be realistically observed with periodic trains of narrow voltage pulses
using current experimental techniques.
