Mesures stationnaires et fermés invariants des espaces homogènes

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Random walks on finite volume homogeneous spaces (2012, background): “In case μ has compact support, the recurrence properties proven in [6] have been used in [1] as the starting point for the classification of μ-stationary probability measures on X and of Γμ-invariant closed subsets on X when G is a simple group and Γμ is Zariski dense in G.”
Stationary measures and invariant subsets of homogeneous spaces (III) (2013, methodology): “We will apply them in [6] to the classification of the Γμ-orbit closures in X which we also announced in [5].”
Central limit theorem for linear groups (2016, background): “” This theory has had recently nice applications to the study of discrete subgroups of Lie groups (as in [13, 26] or [6]).”
Random Walks on Reductive Groups (2016, methodology): “The backward dynamical system is a crucial tool in [14].”
Stationary measures and invariant subsets of homogeneous spaces (II) (2013, unknown): “1 is the main result of [2].”
Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus (2011, background): “In his paper [12] Furstenberg shows that for carefully chosen ν on SLd(Z), namely probability measures ν so that the corresponding stationary measure on the boundary of SL(d,R) is absolutely continuous with respect to Lebesgue, the action of SLd(Z) on T d is ν-stiff.”