Aimee Sue Anastasia Johnson is an American mathematician who works in

dynamical system In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water i ...

s. She is a professor of mathematics at

Swarthmore College Swarthmore College ( , ) is a private liberal arts college in Swarthmore, Pennsylvania. Founded in 1864, with its first classes held in 1869, Swarthmore is one of the earliest coeducational colleges in the United States. It was established as ...

, the winner of the

George Pólya Award The George Pólya Award is presented annually by the Mathematical Association of America (MAA) for articles of expository excellence that have been published in The College Mathematics Journal. The award was established in 1976 and up to two a ...

, and the co-author of the book ''Discovering Discrete Dynamical Systems''. Johnson graduated from the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...

in 1984. She completed her Ph.D. in 1990 at the

University of Maryland, College Park The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of ...

; her dissertation, ''Measures on the Circle Invariant for a Nonlacunary Subsemigroup of the Integers'', was supervised by Daniel Rudolph. In dynamical systems, Johnson is known for her work on a conjecture of

Hillel Furstenberg Hillel (Harry) Furstenberg ( he, הלל (הארי) פורסטנברג) (born September 29, 1935) is a German-born American-Israeli mathematician and professor emeritus at the Hebrew University of Jerusalem. He is a member of the Israel Academy ...

on the classification of invariant measures for the action of two independent modular multiplication operations on an interval. In 1998, Johnson and

Kathleen Madden Kathleen Marie Madden is an American mathematician who works in dynamical systems. She was the dean of the School of Natural Sciences, Mathematics, and Engineering at California State University, Bakersfield. She won the George Pólya Award and is ...

won the George Pólya Award for their joint paper on

aperiodic tiling An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non- peri ...

, "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings". In 2017, Madden, Johnson, and their co-author Ayşe Şahin published the textbook ''Discovering Discrete Dynamical Systems'' through the Mathematical Association of America. 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

{{DEFAULTSORT:Johnson, Aimee Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Dynamical systems theorists University of California, Berkeley alumni University of Maryland, College Park alumni Swarthmore College faculty 20th-century women mathematicians 21st-century women mathematicians 20th-century American women 21st-century American women