  In this work we investigate the issue of logarithmic drifts in the position
of the level sets of solutions of monostable reaction-diusion equations, with
respect to the traveling front with minimal speed. On the one hand, it is a
celebrated result of Bramson that such a logarithmic drift occurs when the
reaction is of the KPP (or sublinear) type. On the other hand, it is also known
that this drift phenomenon disappears when the minimal front speed is
nonlinearly determined. However, some monostable reaction-diusion equations
fall in neither of those cases and our aim is to fill that gap. We prove that a
logarithmic drift always occurs when the speed is linearly determined, but
surprisingly we find that the factor in front of the logarithmic term may be
different from the KPP case.
