  We study quantum Hall interferometers in which the interference loop
encircles a quantum anti-dot. We base our study on thermodynamic
considerations, which we believe reflect the essential aspects of interference
transport phenomena. We find that similar to the more conventional Fabry-Perot
quantum Hall interferometers, in which the interference loop forms a quantum
dot, the anti-dot interferometer is affected by the electro-static Coulomb
interaction between the edge modes defining the loop. We show that in the
Aharonov-Bohm regime, in which effects of fractional statistics should be
visible, is easier to access in interferometers based on anti-dots than in
those based on dots. We discuss the relevance of our results to recent
measurements on anti-dots interferometers.
