6 citations · 11 across the 8 of their papers we have counts for
9 papers
Classification of topological phases of matter in stochastic systems
Dexin Li, Evelyn Tang
Topological phases of matter support edge states protected from random perturbations, and the identification of the discrete non-spatial symmetries and dimensions that support such…
Robust topological oscillators govern a tunable phase transition to synchronized circadian rhythms
Chongbin Zheng, Peter Thomas, Evelyn Tang
While synchronization has been well-studied in deterministic oscillators, most underlying oscillators are stochastic in both natural and man-made systems. Yet, the effects of intri…
The unique control features of topological stochastic and quantum systems
Ziyin Xiong, Aleksandra Nelson, Evelyn Tang
Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been…
Analytical topological invariants for 2D non-Hermitian phases using Morse theory
Cameron Gibson, Evelyn Tang
As energy dissipation and gain are ubiquitous in the real world, such phenomena demand the generalization of Hermitian methods such as the analysis of topological properties for no…
Topological edge currents promote exploratory search in microtubule dynamic instability
Chongbin Zheng, Jaime Agudo-Canalejo, Jonathon Howard +1
Microtubules capture chromosomes during mitosis by stochastically switching between growth and shrinkage at catastrophe events. They display strikingly rich biochemistry and dynami…
Topology of the simplest gene switch
Aleksandra Nelson, Peter Wolynes, Evelyn Tang
Complex gene regulatory networks often display emergent simple behavior. Sometimes this simplicity can be traced to a nearly equivalent energy landscape, but not always. Here, we s…
Topological edge flows drive macroscopic re-organization in magnetic colloids
Aleksandra Nelson, Dana M. Lobmeyer, Sibani L. Biswal +1
Magnetic colloids can be driven with time-varying fields to form clusters and voids that re-organize over vastly different timescales. However, the driving force behind these non-e…
Topological phases in discrete stochastic systems
Jaime Agudo-Canalejo, Evelyn Tang
Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and…
Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
Aleksandra Nelson, Evelyn Tang
Topological theory predicts the necessary conditions for robust dimensional reduction in a host of quantum and classical systems. Models have recently been proposed for stochastic…