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Some examples of stochastically stable homeomorphisms

Published online by Cambridge University Press:  22 January 2016

Takeshi Sasaki
Takeshi Sasaki*
Affiliation:
Department of Mathematics, Nagoya University
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 71 , November 1978 , pp. 97 - 105
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

[1] Morimoto, A., Stochastically stable diffeomorphisms and Takens conjecture, Kokyuroku of Research Institute for Mathematical Science, Kyoto Univ., 303 (1977) with the title “Local dynamical systems”, pp. 8–24.Google Scholar
[2] Nitecki, Z., On semi-stability for diffeomorphisms, Inv. Math., 14 (1971), 83–122.Google Scholar