Existence of dynamical Green functions for random products of non-elementary loxodromic automorphisms of A²_C implies compactly supported μ-stationary measures and stiffness when the action is non-dissipative.
Probab.11.3(1983), 457–490
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Random dynamics of plane polynomial automorphisms
Existence of dynamical Green functions for random products of non-elementary loxodromic automorphisms of A²_C implies compactly supported μ-stationary measures and stiffness when the action is non-dissipative.