Saša Kocić

Associate Professor
Ph.D., University of Texas at Austin, 2006
Hume Hall 312
(662) 915-7582 |  skocic@olemiss.edu
Personal Website

RESEARCH INTERESTS
Dynamical Systems (Renormalization, KAM Theory, Rigidity Theory)

SELECTED PUBLICATIONS

• K. Khanin, S. Kocic, E. Mazzeo, C-1 rigidity of circle maps with breaks for almost all rotation numbers, Ann. Scient. Ec. Norm. Sup. 50 (2017), 1163-1203.
• S. Kocic, Generic rigidity for circle diffeomorphisms with breaks, Commun. Math. Phys. 344 (2016), 427-445.
• K. Khanin, S. Kocic, Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks, Geom. Funct. Anal. 24 (2014), 2002-2028.
• K. Khanin, S. Kocic, Absence of robust rigidity for circle maps with breaks, Ann. Inst. H. Poincare Anal. Non Lineaire 30 (2013), no. 3, 385-399.
• S. Kocic, Reducibility of skew-product systems with multidimensional Brjuno base flows, Discrete Contin. Dyn. Syst. A 29 (2011), no. 1, 261-283.
• H. Koch, S. Kocic, A renormalization approach to lower-dimensional tori with Brjuno frequency vectors, J. Differential Equations 249 (2010), no. 8, 1986-2004.
• H. Koch, S. Kocic, A renormalization approach to quasiperiodic motion with Brjuno frequencies, Ergodic Theory Dynam. Systems 30 (2010), 1131-1146.
• H. Koch, S. Kocic, Renormalization of vector fields and Diophantine invariant tori,  Ergodic Theory Dynam. Syst. 28 (2008), 1559-1585.
• S. Kocic, Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori, Nonlinearity 18 (2005), 2513-2544.