Singular continuous phase for Schrödinger operators over circle maps with breaks

Dynamical systems involving maps of the circle (37E10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Difference operators (39A70) Universality and renormalization of dynamical systems (37E20) Rotation numbers and vectors (37E45)

Cites Work

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Generic rigidity for circle diffeomorphisms with breaks
Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks
Global theory of one-frequency Schrödinger operators
Robust rigidity for circle diffeomorphisms with singularities
Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
On the multiplicative ergodic theorem for uniquely ergodic systems
Sharp phase transitions for the almost Mathieu operator
Rigidity of critical circle maps
Generalized Floquet theory for stationary Schrödinger operators in one dimension
Rigidity of critical circle mappings. I
Hausdorff dimension of invariant measures of multicritical circle maps
Rigidity for piecewise smooth homeomorphisms on the circle
Renormalization for piecewise smooth homeomorphisms on the circle
Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
Schrödinger operators with dynamically defined potentials
C^1-rigidity of circle maps with breaks for almost all rotation numbers
Spectral Theory of Schrödinger Operators over Circle Diffeomorphisms
Strict Ergodicity and Transformation of the Torus
Hausdorff dimension of invariant measure of circle diffeomorphisms with a break point
Singular continuous phase for Schrödinger operators over circle maps

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