On the cohomological equation for nilflows

zbMath1114.37004arXivmath/0512192MaRDI QIDQ874768

Giovanni Forni, Livio Flaminio

Publication date: 10 April 2007

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512192

zbMATH Keywords

cohomologynilflows

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (19)

Relating boundary and interior solutions of the cohomological equation for cocycles by isometries of negatively curved spaces. The Lǐsic case* ⋮ Effective equidistribution for generalized higher-step nilflows ⋮ Invariant distributions for homogeneous flows and affine transformations ⋮ Abelian actions with globally hypoelliptic leafwise Laplacian and rigidity ⋮ Exponential multiple mixing for some partially hyperbolic flows on products of \(\mathrm{PSL}(2, \mathbb{R})\) ⋮ Krein formula and \(S\)-matrix for Euclidean surfaces with conical singularities ⋮ A priori bounds for GIETs, affine shadows and rigidity of foliations in genus two ⋮ Dynamics and ``arithmetics of higher genus surface flows ⋮ Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds ⋮ On globally hypoelliptic abelian actions and their existence on homogeneous spaces ⋮ Cohomologically rigid vector fields: the Katok conjecture in dimension 3 ⋮ Slow chaos in surface flows ⋮ Mixing for smooth time-changes of general nilflows ⋮ Effective equidistribution of twisted horocycle flows and horocycle maps ⋮ Local rigidity for periodic generalised interval exchange transformations ⋮ Ruelle spectrum of linear pseudo-Anosov maps ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ Sobolev regularity of solutions of the cohomological equation ⋮ Twisted cohomological equations for translation flows

This page was built for publication: On the cohomological equation for nilflows