  We study a random process with reinforcement, which evolves following the
dynamics of a given diffusion process in a bounded domain and is resampled
according to its occupation measure when it reaches the boundary. We show that
its occupation measure converges to the unique quasi-stationary distribution of
the diffusion process absorbed at the boundary of the domain. Our proofs use
recent results in the theory of quasi-stationary distributions and stochastic
approximation techniques.
