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

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