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Transitivity of generic semigroups of area-preserving surface diffeomorphisms |
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| Authors: | Andres Koropecki Meysam Nassiri |
| Affiliation: | 1. Instituto de Matemática, Universidade Federal Fluminense, Rua Mário Santos Braga S/N, Niterói, RJ, 24020-140, Brazil 2. Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, Rio de Janeiro, 22460-320, Brazil 3. Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45195-1159, Zanjan, Iran |
| Abstract: | We prove that the action of the semigroup generated by a C r generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive. |
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