For almost every point in a positive-measure set under an ergodic flow, there are arbitrarily late return times to the set with exactly zero integral of a zero-mean function.
Shneiberg, Zeros of integrals along trajectories of ergodic systems, Funct
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals
For almost every point in a positive-measure set under an ergodic flow, there are arbitrarily late return times to the set with exactly zero integral of a zero-mean function.