Dr. 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.
Dr. Ugarcovici’s research interests focus on dynamical systems, ergodic theory, and population dynamics.
Selected publications:
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Symbolic dynamics for the modular surface and beyond
Bull. Amer. Math. Soc. (N.S.)
47 (2007), no. 1, 87-132 (with S. Katok).
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Chaotic attractors and physical measures for some density-dependent Leslie population models
Nonlinearity
20 (2007), no. 12, 2897-2906 (with H. Weiss).
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Structure of attractors for (a,b)-continued fraction transformations
J. Mod. Dyn.
4 (2010), no. 4, 637-691 (with S. Katok).
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Applications of KAM theory to population dynamics
J. Biol. Dyn.
5 (2011), no. 1, 44-63 (with M. Gidea, J. Meiss, and H. Weiss).
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Applications of (a,b)-continued fraction transformations
Ergodic Theory Dynam. Systems
32 (2012), no. 2, 755-777 (with S. Katok).