Mathematics – Dynamical Systems
Scientific paper
2004-12-05
Mathematics
Dynamical Systems
9 pages
Scientific paper
In 1946, M. Morse proposed a conjecture that an analytic topologically
transitive systems is metrically transitive. We prove this Morse conjecture for
flows on a closed orientable surface of negative Euler characteristic. As a
consequence, the Morse conjecture is true for highly transitive flows on
non-orientable surfaces.
Aranson S.
Zhuzhoma Evgeny
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