Cocompact lattice actions on flag boundaries of Euclidean buildings are topologically stable: every sufficiently small perturbation is semi-conjugate to the original action.
Entropy-rigidity of locally symmetric spaces of negative curvature
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Stability for boundary actions of cocompact lattices in Euclidean buildings
Cocompact lattice actions on flag boundaries of Euclidean buildings are topologically stable: every sufficiently small perturbation is semi-conjugate to the original action.