  The effects of fluctuations are discussed around the phase boundary of the
inhomogeneous chiral transition between the inhomogeneous chiral phase and the
chiral-restored phase. The particular roles of thermal and quantum fluctuations
are elucidated and a continuity of their effects across the phase boundary is
suggested. In addition, it is argued that anomalies in the thermodynamic
quantities should have phenomenological implications for the inhomogeneous
chiral transition. Some common features for other phase transitions, such as
those from the normal to the inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov
state in superconductivity, are also emphasized.
