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:
- On the topological entropy of (a,b)-continued fraction transformations
Nonlinearity, 36 (2023), 2894-2908. (with A. Abrams and S. Katok).
- Flexibility of entropy of boundary maps for surfaces of constant negative curvature
Ergodic Theory and Dynamical Systems, 42 (2022), 389-401. (with A. Abrams and S. Katok). - A strongly aperiodic shift of finite type on the discrete Heisenberg group using Robinson tilings
Illinois Journal of Math., 65 (2021), 655-686. (with A. Şahin and M. Schraudner). - Structure of attractors for boundary maps associated to Fuchsian groups
Geometriae Dedicata, 191 (2017), 171-198. (with S. Katok) - The structure and spectrum of Heisenberg odometers
Proc. Amer. Math. Soc., 142 (2014), 2429-2443. (with S. Lightwood and A. Şahin) - Applications of KAM theory to population dynamics
Journal of Biological Dynamics, 5 (2011), no. 1, 44-63. (with M. Gidea, J. Meiss and H. Weiss)