Aimee Sue Anastasia Johnson is an American mathematician who works in dynamical systems. She is a professor of mathematics at Swarthmore College,[1] the winner of the George Pólya Award, and the co-author of the book Discovering Discrete Dynamical Systems.
Johnson graduated from the University of California, Berkeley in 1984.[2] She completed her Ph.D. in 1990 at the University of Maryland, College Park; her dissertation, Measures on the Circle Invariant for a Nonlacunary Subsemigroup of the Integers, was supervised by Daniel Rudolph.[3]
In dynamical systems, Johnson is known for her work on a conjecture of Hillel Furstenberg on the classification of invariant measures for the action of two independent modular multiplication operations on an interval.[4] In 1998, Johnson and Kathleen Madden won the George Pólya Award for their joint paper on aperiodic tiling, "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings".[2] In 2017, Madden, Johnson, and their co-author Ayşe Şahin published the textbook Discovering Discrete Dynamical Systems through the Mathematical Association of America.[5] With Joseph Auslander and Cesar E. Silva she is also the co-editor of Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby (Contemporary Mathematics 678, American Mathematical Society, 2016).
References
edit- ^ Aimee S.A. Johnson, Swarthmore College, 8 July 2014, retrieved 2018-05-26
- ^ a b "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings", George Pólya Award winners, Mathematical Association of America, retrieved 2018-05-26
- ^ Aimee Johnson at the Mathematics Genealogy Project
- ^ Lindenstrauss, Elon (2005), "Invariant measures for multiparameter diagonalizable algebraic actions—a short survey", European Congress of Mathematics, Zürich: European Mathematical Society, pp. 247–256, MR 2185748
- ^ Reviews of Discovering Discrete Dynamical Systems: