Ilie Ugarcovici earned his PhD in Mathematics from The Pennsylvania
State University in 2004. He then spent two years as a G.C. Evans
Instructor at Rice University before joining the faculty at DePaul
University in 2006. Ugarcovici’s research interests focus on dynamical
systems, ergodic theory, and population dynamics.
- Symbolic dynamics for the modular surface and beyond
Bull. Amer. Math. Soc. (N.S.) 47 (2007), no. 1, 87-132 (with S. Katok).
- Chaotic attractors and physical measures for some density-dependent Leslie population models, Nonlinearity 20 (2007), no. 12, 2897-2906 (with H. Weiss).
- Structure of attractors for (a,b)-continued fraction transformations
J. Mod. Dyn. 4 (2010), no. 4, 637-691 (with S. Katok).
- Applications of KAM theory to population dynamics
J. Biol. Dyn. 5 (2011), no. 1, 44-63 (with M. Gidea, J. Meiss, and H. Weiss).
- Applications of (a,b)-continued fraction transformations
Ergodic Theory Dynam. Systems 32 (2012), no. 2, 755-777 (with S. Katok).