  1. We answer Michael Gordin's question providing singular spectrum for
transformations with homoclinic Bernoulli flows via Poisson suspensions induced
by modified Sidon rank-one constructions.
  2. We give homoclinic proof of Emmanuel Roy's theorem on multiple mixing of
Poisson suspensions, adding new examples to Jonathan King's ergodic homoclinic
groups of special zero-entropy transformations.
  3. Sasha Prikhod'ko found the fast decay of correlations for some iceberg
automorphisms. We get similar correlations for a class of infinite rank-one
Sidon transformations.
  This version is based on "On Mixing Rank One Infinite Transformations"
arXiv:1106.4655
