M.Boshernitzan,
A Condition for Unique Ergodicity of Minimal Symbolic Flows.
Erg.Th. & Dyn.Sys.(1992), 12, p.425-428.
ABSTRACT
We extend Veech's criterion for unique ergodicity of minimal
interval exchange transformation to general symbolic flows. A weaker
version of this criterion has been used in one of my earlier papers to
elementary establish Keane's conjecture (first proved independently by
Masur and Veech). Our sufficient condition for unique ergodicity is that
lim sup [n a(n)] > 0,
as n -> infinity.
where a(n) stands for the minimal of the positive "weights" among
all the n-blocks.
(5 pages.)
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