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Little School Dynamics

An online research community sponsored by the


American Institute of Mathematics, San Jose, California

organized by

Kimberly Ayers, Han Li, David McClendon, Andrew Parrish, and Ami Radunskaya

This research community, sponsored by AIM and the NSF, stimulates, supports, and promotes dynamics research at Primarily Undergraduate Institutions (PUIs). We intend to accomplish this through a variety of activities constructed with the unique demands of our work environment in mind, ranging from colloquia to small research groups, and including ample opportunities for building new professional networks. Full participation is open to any mathematician whose research interests include dynamical systems and whose home institution is a PUI; adjunct and teaching faculty at other institutions are likewise encouraged to apply. Keeping in mind the varying obligations of faculty at PUIs, the organizers welcome, encourage, and value participation at any and all levels. Bound by a common discipline and shared experiences, we aim to develop a pool of talent and expertise on which participants can draw to further their own objectives and pursue new interests.

If you would like to participate, please apply by filling out the on-line form. Applications are open to all, and we especially encourage women, underrepresented minorities, and researchers from primarily undergraduate institutions to apply.

Upcoming activities

July 31, 11:00am Pacific, Research Seeding Seminar led by Kim Ayers (Cal State San Marcos)

Colloquium by Jim Wiseman (Agnes Scott College)
Persistence for finite-resolution dynamics
August 14 at 11:00am Pacific

To study the dynamics of a continuous self-map on a metric space, we can use a finite-resolution approximation of the map. But the dynamics of the approximation depend on the choice of resolution. We study the persistence -- a notion from topological data analysis -- of the dynamics as the resolution changes, in particular of the Morse decomposition of the recurrent set.

October 9, 11:00am Pacific, Colloquium by Dave Constantine (Wesleyan)

November 13, 11:00am Pacific, Colloquium by Cesar Silva (Williams)

Past activities

Colloquium by Aimee Johnson (Swarthmore)
Thresholds in Complexity
February 20 at 11am Pacific

A celebrated result of Morse and Hedlund in 1938 established a link between the complexity function associated to a bi-infinite sequence of symbols and the periodicity of that sequence. In this talk we will continue this investigation, looking at when complexity can yield information about a symbolic system. Spoiler alert: it turns out that it can tell us something about the property of loosely Bernoulli.

We will review notation and definitions, go over some past results in this area, and then culminate in a recent result done jointly with Van Cyr, Bryna Kra, and Ayse Sahin.

Panel presentation Faculty Dynamics Research Opportunities - Primarily Undergraduate Institutions
February 13, 2:30 - 3:15 PM at the Simiode Expo.

For more information, or to request the Zoom link for a talk, email