Reviews: Fast Mixing Markov Chains for Strongly Rayleigh Measures, DPPs, and Constrained Sampling

Technically the paper is very strong. The results presented by the authors are, to the best of my knowledge, novel and significant. However my main criticism of the paper is that the presentation is very esoteric. The is clear already in the introduction where the authors fail to explain some of the basic notation that is central to the remaining of the paper, see (1)-(3) below. This continues throughout the paper making it hard to read for non-experts in the field, see e.g.