Recent results on event-by-event fluctuations in ALICE at the LHC

Non-statistical event-by-event fluctuations in relativistic heavy-ion collisions have been proposed as a probe of phase instabilities near the QCD phase transition. In a thermodynamical picture of the strongly interacting system formed in heavy-ion collisions, the fluctuations of the mean transverse momentum, mean multiplicity fluctuations, the balance function, higher moments of net-particle multiplicity distributions, etc., are related to the fundamental properties of the system, hence they may reveal information about the QCD phase transition. We present and discuss recent results on event-by-event measurements at LHC energies.