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

  1. ↑ Aimee S.A. Johnson, Swarthmore College, 8 July 2014, retrieved 2018-05-26
  2. 1 2 "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings", George Pólya Award winners, Mathematical Association of America, retrieved 2018-05-26
  3. ↑ Aimee Johnson at the Mathematics Genealogy Project
  4. ↑ 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
  5. ↑ Reviews of Discovering Discrete Dynamical Systems:
    • Satzer, William J. (November 2017), "Review", MAA Reviews
    • Kaschner, Scott R., Mathematical Reviews, MR 3677179{{citation}}: CS1 maint: untitled periodical (link)
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