Constructions in elliptic dynamics
From MaRDI portal
Publication:5289879
DOI10.1017/S0143385703000798zbMath1089.37012arXivmath/0501362OpenAlexW1981888620MaRDI QIDQ5289879
Publication date: 19 April 2006
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501362
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Low-dimensional dynamical systems (37E99) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Related Items (62)
Hamiltonian pseudo-rotations of projective spaces ⋮ Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions ⋮ The Anosov-Katok method and pseudo-rotations in symplectic dynamics ⋮ A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus ⋮ Dynamics of covering maps of the annulus I: semiconjugacies ⋮ Another look at the Hofer-Zehnder conjecture ⋮ Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ Smooth zero-entropy diffeomorphisms with ergodic derivative extension ⋮ Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\) ⋮ Slow entropy of some combinatorial constructions ⋮ Slow entropy for some Anosov-Katok diffeomorphisms ⋮ On mixing diffeomorphisms of the disc ⋮ Analytic weakly mixing diffeomorphisms on odd dimensional spheres ⋮ Contact three-manifolds with exactly two simple Reeb orbits ⋮ Real-analytic realization of uniform circular systems and some applications ⋮ Relatively compact Siegel disks with non-locally connected boundaries ⋮ Anosov-Katok constructions for quasi-periodic \(\operatorname{SL}(2, \mathbb{R})\) cocycles ⋮ Almost reducibility and oscillatory growth of Sobolev norms ⋮ On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians ⋮ Dynamics and ``arithmetics of higher genus surface flows ⋮ Non-standard real-analytic realizations of some rotations of the circle ⋮ Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric ⋮ The Burnside problem for \(\text{Diff}_{\omega}(\mathbb{S}^2)\) ⋮ Pseudo-rotations and holomorphic curves ⋮ Anatole Katok ⋮ Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary ⋮ Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds ⋮ Analytic uniquely ergodic volume preserving maps on odd spheres ⋮ A classification of minimal sets for surface homeomorphisms ⋮ The conjugation method in symplectic dynamics ⋮ Dmitry Viktorovich Anosov: His life and mathematics ⋮ A dynamical decomposition of the torus into pseudo-circles ⋮ The Conley conjecture and beyond ⋮ Periodic point free homeomorphisms of the open annulus: from skew products to non-fibred maps ⋮ A finite dimensional approach to Bramham's approximation theorem ⋮ Uniform rigidity sequences for weakly mixing diffeomorphisms on \(\mathbb{D}^m\), \(\mathbb{T}^m\) and \(\mathbb{S}^1 \times [0, 1^{m - 1}\)] ⋮ The essential coexistence phenomenon in dynamics ⋮ Poincaré theory for decomposable cofrontiers ⋮ Fundamental domain of invariant sets and applications ⋮ A symplectic proof of a theorem of Franks ⋮ Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number ⋮ A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli ⋮ A symbolic representation for Anosov-Katok systems ⋮ Pseudo-rotations with sufficiently Liouvillean rotation number are \(C^0\)-rigid ⋮ Invariant measures with bounded variation densities for piecewise area preserving maps ⋮ Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy–Rees technique ⋮ Non-standard smooth realizations of Liouville rotations ⋮ Pseudo-rotations and Steenrod squares ⋮ The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan ⋮ \(C^\ast\)-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere ⋮ Approximate identities and Lagrangian Poincaré recurrence ⋮ Controlled Reeb dynamics -- three lectures not in Cala Gonone ⋮ Denjoy constructions for fibered homeomorphisms of the torus ⋮ The concept of bounded mean motion for toral homeomorphisms ⋮ Real-analytic AbC constructions on the torus ⋮ Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior ⋮ Prime ends rotation numbers and periodic points ⋮ Instabilities of invariant quasi-periodic tori ⋮ Uniform rigidity sequences for weak mixing diffeomorphisms on \(\mathbb{D}^2\), \(\mathbb{A}\) and \(\mathbb{T}^2\) ⋮ Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves ⋮ Pseudorotations of the -disc and Reeb flows on the -sphere
This page was built for publication: Constructions in elliptic dynamics