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Some examples of stochastically stable homeomorphisms

Recently A. Morimoto [1] has proved the Takens conjecture in the tolerance stability by using the notion of pseudo-orbits and the stochastic stability. He also characterized group automorphisms of a torus to be stochastically stable and clarified the relations to other stabilities. In this paper we shall give the condition for spherical or projective linear transformations to be stochastically stable.