Research articles:
Preprints/ Selected Publications
- Renormalization conjecture and rigidity theory for circle diffeomorphisms with a break
with K. Khanin, GAFA 24 (2014), 2002-2028. [preprint (pdf)]
- C1-rigidity of circle diffeomorphisms with breaks for almost all irrational rotation numbers
with K. Khanin, submitted. [preprint (pdf)]
- Absence of robust rigidity for circle homeomorphisms with breaks
with K. Khanin, Ann. Inst. H. Poincaré Anal. Non Linéaire, 30(3) (2013), 385-399. [preprint (pdf)]
- Reducibility of skew-product systems with multidimensional Brjuno base flows
Discrete and Continuous and Dynamical Systems A 29 (2011), 261-283. [preprint (pdf)]
- A renormalization approach to lower-dimensional tori with Brjuno frequency vectors
with H. Koch, Journal of Differential Equations 249 (2010), 1986-2004. [preprint (pdf)]
- A renormalization group approach to quasiperiodic motion with Brjuno frequencies
with H. Koch, Ergodic Theory and Dynamical Systems 30 (2010), 1131-1146. [preprint (pdf)]
- Renormalization of vector fields and Diophantine invariant tori
with H. Koch, Ergodic Theory and Dynamical Systems 28 (2008), 1559-1585. [preprint (pdf)]
- Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori
Nonlinearity 18 (2005), 2513-2544. [preprint-I preprint-II (pdf)]
|