Dr. Sasa Kocic is a Professor of Mathematics in the Department of Mathematics at the University of Mississippi.
Research Interests
Dr. Kocic's research interests lie in dynamical systems, and are centered around renormalization, rigidity, and universality in dynamics.
He is specifically interested in:
- Renormalization and rigidity of circle maps
- Renormalization of vector fields and KAM theory
- Spectrum of Schroedinger operators over circle maps
Biography
Dr. Kocic obtained his Ph.D. from The University of Texas at Austin, having completed his dissertation under the supervision of Prof. Hans Koch. He has held postdoctoral fellow positions at IMPA, Rio de Janeiro, Technical University of Lisbon, and University of Toronto. He also held the Marie Curie Fellowship, and his research has been supported by an NSF grant.
Publications
S. Kocic, Singular continuous phase for Schrödinger operators over circle maps, Math. Ann. 389 (2024), 1545-1573.
Koch, S. Kocic, Renormalization and universality of the Hofstadter spectrum, Nonlinearity 33 9 (2020), 4381-4389.
Khanin, S. Kocic, E. Mazzeo, C^1-rigidity of circle diffeomorphisms with breaks for almost all rotation numbers, Ann. Sci. Ec. Norm. Super. 50 5 (2017), 1163-1203.
Kocic, Generic rigidity for circle diffeomorphisms with breaks, Commun. Math. Phys. 344 (2016), 427-445.
Khanin, S. Kocic, Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks, Geom. Funct. Anal. 24 6 (2014), 2002-2028.
Koch and S. Kocic, A renormalization group approach to quasiperiodic motion with Brjuno frequencies, Ergodic Theory Dynam. Systems 30 (2010), 1131-1146.
Koch and S. Kocic, Renormalization of vector fields and Diophantine invariant tori, Ergodic Theory Dynam. Systems 28 (2008), 1559-1585.
S. Kocic, Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori, Nonlinearity 18 (2005), 1-32.
Courses Taught
- Math 264 Unified Calculus & Analytic Geometry IV
- Math 353 Elementary Differential Equations
- Math 454 Intermediate Differential Equations
- Math 564 Introduction to Dynamical Systems I
- Math 565 Introduction to Dynamical Systems II
- Math 664 Topics in Dynamical Systems
Education
Ph.D. Physics, University of Texas at Austin (2006)