  A non-perturbative and continuous definition of RG transformations as
stochastic processes is proposed, inspired by the observation that the
functional RG equations for effective Boltzmann factors may be interpreted as
Fokker-Planck equations. The result implies a new approach to Monte Carlo RG
that is amenable to lattice simulation. Long-distance correlations of the
effective theory are shown to approach gradient-flowed correlations, which are
simpler to measure. The Markov property of the stochastic RG transformation
implies an RG scaling formula which allows for the measurement of anomalous
dimensions when transcribed into gradient flow expectation values.
