Research papers

 

1. Local rigidity of actions of higher rank abelian groups and KAM method, with A. Katok, Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 142--154 (electronic).

 

2. Local rigidity of restrictions of Weyl chamber flows, with A. Katok, C. R. Math. Acad. Sci. Paris 344 (2007), no. 8, 503--508.

 

3. Periodic cycle functionals and cocycle rigidity for certain partially hyperbolic R^k actions, with A. Katok, Discrete Contin. Dyn. Syst. 13 (2005), no. 4, 985--1005.

 

4. Local Rigidity of Partially Hyperbolic Actions. I. KAM method and Z^k  actions on the Torus, with A. Katok, accepted for publication in Annals of Mathematics.

 

5. Local Rigidity of Partially Hyperbolic Actions. II. The geometric method and restrictions of Weyl chamber flows on SL(n,R)/L, with A. Katok, submitted to Annals of Mathematics.

 

6. Rigidity results for commuting SL(2,R) cocycles above circular rotations, with B. Fayad and R. Krikorian, preprint.

 

7. Central extensions of simple Lie groups and rigidity of some abelian partially hyperbolic abelian actions,  Journal of Modern Dynamics,  v 1, no. 4, (2007), 665-688.

 

8. Rigidity of parametric families of some homogeneous  parabolic abelian actions. with A. Katok, preprint.

 

9. D. Damjanovic, Remarks on applicability of generalized implicit function theorems to various rigidity problems for group actions. In preparation.

 

10. D. Damjanovic, B. Fayad, Rigid families of partially hyperbolic product actions. In preparation.