%0 Journal Article %T Affinity and Fluctuations in a Mesoscopic Noria %A M. Bauer %A F. Cornu %J Physics %D 2014 %I arXiv %X We exhibit the invariance of cycle affinities in finite state Markov processes under various natural probabilistic constructions, for instance under conditioning and under a new combinatorial construction that we call ``drag and drop''. We show that cycle affinities have a natural probabilistic meaning related to first passage non-equilibrium fluctuation relations that we establish. %U http://arxiv.org/abs/1402.2422v1