K Cunha, D Smania - Advances in Mathematics, 2014 - Elsevier
We find conditions for two piecewise C 2+ ν homeomorphisms f and g of the circle to be C 1 conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the …
K Khanin, S Kocić - Geometric and Functional Analysis, 2014 - Springer
We prove the renormalization conjecture for circle diffeomorphisms with breaks, ie, that the renormalizations of any two C 2+ α-smooth (α∈(0, 1)) circle diffeomorphisms with a break …
We consider a class of Schrödinger operators—referred to as Schrödinger operators over circle maps—that generalize one-frequency quasiperiodic Schrödinger operators, with a …
K Khanin, S Kocić, E Mazzeo - Annales scientifiques de l'École …, 2017 - numdam.org
R.–Nous démontrons que pour presque tous les irrationnels 2. 0; 1/, deux difféomorphismes du cercle C2Clisses, 2. 0; 1/, avec un point de singularité de type rupture …
S Kocić - Communications in Mathematical Physics, 2016 - Springer
We prove that C^ r C r-smooth (r> 2 r> 2) circle diffeomorphisms with a break, ie, circle diffeomorphisms with a single singular point where the derivative has a jump discontinuity …
In this article, we prove a rigidity property for a class of generalized interval exchange transformations (GIETs), which contains the class of piecewise smooth circle …
S Ghazouani - Communications in Mathematical Physics, 2021 - Springer
We study the coarse geometry of the moduli space of dilation tori with two singularities and the dynamical properties of the action of the Teichmüller flow on this moduli space. This …
Let $ f $ be an orientation-preserving circle diffeomorphism with irrational rotation number and with a break point $\xi_ {0}, $ that is, its derivative $ f'$ has a jump discontinuity at this …
S Ghazouani - Séminaire de théorie spectrale et géométrie, 2019 - numdam.org
Une invitation aux surfaces de dilatation Page 1 Institut Fourier — Université de Grenoble I Actes du séminaire de Théorie spectrale et géométrie Selim GHAZOUANI Une invitation …