Thomas Bayes' walk on manifolds
  Convergence of the Bayes posterior measure is considered in canonical statistical settings where observations sit on a geometrical object such as a compact manifold, or more generally on a compact metric space verifying some conditions. A natural geometric prior based on randomly rescaled solutions of the heat equation is considered. Upper and lower bound posterior contraction rates are derived. 
Ismael Castillo, Gerard Kerkyacharian and Dominique Picard
math.ST stat.TH