Title: Robust Dynamics and Function in Stochastic Topological Systems
Speaker: Evelyn Tang, Rice University
Abstract: Living systems exhibit various robust dynamics during system regulation,
growth, and motility. However, how robustness emerges from stochastic
components remains unclear. Towards understanding this, I develop
topological theories that support robust edge currents and localization,
effectively reducing the system function to a lower-dimensional subspace. I
will introduce stochastic networks in molecular reaction space that model
long and stable time scales, such as the circadian rhythm. More generally, we
prove that unlike their quantum counterparts, stochastic topological systems
require non-Hermiticity for edge states and strong localization. I will close by
discussing experimental platforms for the detection and use of edge currents
for self-assembly and replication in living systems.
Zoom: https://northwestern.zoom.us/j/92419233651
-----
To subscribe to the Applied Mathematics Colloquia List send a message to LISTSERV@LISTSERV.IT.NORTHWESTERN.EDU with the command:
add esam-seminar Youremail Firstname Lastname
Cost: Free