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Results tagged with integrable-systems
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user 8135
1
vote
Accepted
functions whose average along orbits is zero or a constant
Second part: if your system is nontrivial, and function $f$ is "smooth", than condition
of the form
$$
\lim_{n\to\infty} \frac 1n\sum_{i=0}^{n-1} f(T^i x) =c
$$
for all $\ x$, should imply that
$$
f …
- 650