%0 Journal Article %A Baillon, J. B. %A Clément, PH. %A Greven, A. %A Hollander, F. Den %T On the Attracting Orbit of a Non-Linear Transformation Arising From Renormalization Of Hierarchically Interacting Diffusions Part I: The Compact Case %J Canadian journal of mathematics %D 1995 %P 3-27 %V 47 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1995-001-2/ %R 10.4153/CJM-1995-001-2 %F 10_4153_CJM_1995_001_2