Solving the cohomological equation for locally Hamiltonian flows. I: Local obstructions

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Flows on surfaces (37E35) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Dynamical systems with singularities (billiards, etc.) (37C83) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps
Cohomological equations and invariant distributions for minimal circle diffeomorphisms
Absence of mixing in area-preserving flows on surfaces
Ergodic properties of infinite extensions of area-preserving flows
Topological and ergodic properties of closed 1-forms with incommensurable periods
On the cohomological equation for nilflows
Cohomological equation and cocycle rigidity of parabolic actions in some higher-rank Lie groups
Solutions of the cohomological equation for area-preserving flows on compact surfaces of higher genus
Invariant distributions and time averages for horocycle flows
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfaces
Linearization of generalized interval exchange maps
Weak mixing for logarithmic flows over interval exchange transformations
Parabolic dynamics and anisotropic Banach spaces
On manifolds supporting distributionally uniquely ergodic diffeomorphisms
Limit theorems for translation flows
The Hamiltonian formalism and a many-valued analogue of Morse theory
A smooth mixing flow on a surface with nondegenerate fixed points
Sobolev regularity of solutions of the cohomological equation
Twisted cohomological equations for translation flows
Mixing of asymmetric logarithmic suspension flows over interval exchange transformations
The cohomological equation for Roth-type interval exchange maps
The cohomological equation and invariant distributions for horocycle maps
New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows

This page was built for publication: Solving the cohomological equation for locally Hamiltonian flows. I: Local obstructions