  We offer a new proposal for the Monte Carlo treatment of many-fermion systems
in continuous space. It is based upon Diffusion Monte Carlo with significant
modifications: correlated pairs of random walkers that carry opposite signs;
different functions ``guide'' walkers of different signs; the Gaussians used
for members of a pair are correlated; walkers can cancel so as to conserve
their expected future contributions. We report results for free-fermion systems
and a fermion fluid with 14 $^3$He atoms, where it proves stable and correct.
Its computational complexity grows with particle number, but slowly enough to
make interesting physics within reach of contemporary computers.
