  Zero (ZF) and longitudinal field (LF) muon spin relaxation data of the {\it
d}-metal alloy Ni$_{1-x}$V$_{x}$ are presented at several vanadium
concentrations $x$ below and above the critical $x_c \approx 11$% where
long-range ferromagnetic (FM) order is suppressed. The clear single precession
frequency observed for Ni, as expected for a homogeneous FM, changes to rather
damped oscillation with small V substitution at $x=4$%, confirming magnetic
inhomogeneities caused by the less magnetic V environments in the magnetic Ni
matrix. Furthermore, local fields and spatial field distributions can be
estimated to characterize different inhomogeneous regimes developing with $x$
in the FM phase of Ni$_{1-x}$V$_{x}$. In the regime of $x=7-10$% a Kubo Toyabe
function well describes the low temperature ZF and LF asymmetry data supporting
a static Gaussian field distribution. Closer to the quantum critical
concentration a single scale static Kubo Toyabe function with one field
distribution is not sufficient to describe the muon relaxation. These data
indicate that further changes in spatial distributions and dynamics are
evolving as expected within the critical regime of a disordered quantum
critical point.
