  With HST-WFPC2 we have obtained a deep, H-alpha image of the WR nebula M1-67.
With the interferometer of the Universite Laval (Quebec, Canada), we have
obtained complementary Fabry-Perot H-alpha data using CFHT MOS/SIS. On the deep
H-alpha image we have performed continuous wavelet transforms to isolate
stochastic structures of different characteristic size and look for scaling
laws. Small-scale wavelet coefficients show that the density field of M1-67 is
remarkably structured in chaotically oriented filaments. We draw attention to a
short, marginally inertial range at the smallest scales (6.7-15.0 X 10^{-3}
pc), which can be attributed to turbulence in M1-67, and a strong scale break
at larger scales. Using our Fabry-Perot interferograms, we also present an
investigation of the statistical properties of fluctuating gas motions using
structure functions traced by H-alpha emission-line centroid velocities. We
find that there is a clear correlation at scales 0.02-0.22 pc between the mean
quadratic differences of radial velocities and distance over the surface of the
nebula. This implies that the velocity field shows an inertial range likely
related to turbulence. The first and second order moments of the velocity
increments are found to scale as <|Delta v(r)|> ~ r^{0.5} and <|Delta v(r)|^2>
\~ r^{0.9}. The former scaling law strongly suggests that compressible
turbulence is at play in M1-67, on the other hand, the latter scaling law
agrees very well with Larson-type laws for velocity turbulence. Examination of
the structure functions for different orders shows that the turbulent regime is
slightly intermittent and highly multifractal with universal multifractal
indexes alpha ~ 1.90-1.92 and C_1 ~ 0.04 \pm 0.01.
