A new proof technique establishes ergodicity for anti-symmetric skew products over symmetric IETs with non-logarithmic singularities and enables analysis of error terms in Birkhoff sums for locally Hamiltonian flows with non-perfect saddles.
Forni,Deviation of ergodic averages for area-preserving flows on surfaces of higher genus, Ann
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the ergodicity of anti-symmetric skew products with singularities and its applications
A new proof technique establishes ergodicity for anti-symmetric skew products over symmetric IETs with non-logarithmic singularities and enables analysis of error terms in Birkhoff sums for locally Hamiltonian flows with non-perfect saddles.