  Gradient flow has proved useful in the definition and measurement of
renormalized quantities on the lattice. Recently, the fact that it suppresses
high-modes of the field has been used to construct new, continuous RG
transformations both analytically and on the lattice, distinct from the usual
blocking techniques in spin models and gauge theories. In this work, we discuss
such a formulation for scalar field theory, and we present preliminary
numerical results for its application to the determination of critical
exponents at the Wilson-Fisher fixed point of three-dimensional $\phi^4$
theory.
