- Ergodic theory
- Dynamical systems
- Amenable groups
- +۲ مورد دیگر
Ayse Sahin serves as Professor and Dean of the College of Science and Mathematics at Wright State University in Dayton, Ohio, where she provides academic leadership while maintaining an active research program in pure mathematics. Her administrative role encompasses oversight of all academic departments and programs within the college. Her educational foundation includes: B.A. in Mathematics (1988) from Mount Holyoke College M.A. in Mathematics (1992) from University of Maryland at College Park Ph.D. in Mathematics (1994) from University of Maryland at College Park Dr. Sahin's research centers on ergodic theory and dynamical systems, with specialized expertise in actions of amenable groups. Her work investigates structural properties of multi-dimensional dynamical systems through combinatorial and geometric approaches, particularly examining recurrence phenomena, entropy characteristics, and equivalence relations in measure-preserving systems. She has made significant contributions to understanding Kakutani equivalence, directional dynamics in Z d actions, and tiling-based representations of group actions. Analysis of her publication trajectory reveals consistent focus on foundational aspects of dynamical systems, evolving from one-dimensional systems to higher-dimensional and continuous group actions. Her recent work increasingly incorporates geometric structures like Robinson tilings and Heisenberg group actions, demonstrating interdisciplinary connections between ergodic theory, combinatorics, and geometric group theory. As Dean, she bridges administrative responsibilities with scholarly contributions, maintaining an active research profile while shaping the academic direction of the College of Science and Mathematics.
