activity
20222025
most citedRate and Noise-Induced Tipping Working in Concert

26 citations · 32 across the 6 of their papers we have counts for

collaborators

6 papers

math.GM2025

Quantitative metrics for trait and identity distributions

Leah Hoogstra, Katherine Slyman, Bjorn Sandstede

Understanding the role of demographic diversity in group settings requires effective quantitative metrics. Intersectional feminist theory has highlighted that demographic identitie…

nlin.CD2024

Tipping mechanisms in a carbon cycle model

Katherine Slyman, Emmanuel Fleurantin, Christopher K. R. T. Jones

Rate-induced tipping (R-tipping) occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states, while noise-induced tipping…

math.DS2024

Most probable escape paths in perturbed gradient systems

Katherine Slyman, Mackenzie Simper, John A. Gemmer +1

Stochastic systems are used to model a variety of phenomena in which noise plays an essential role. In these models, one potential goal is to determine if noise can induce transiti…

math.DS2023

Tipping in a Low-Dimensional Model of a Tropical Cyclone

Katherine Slyman, John A. Gemmer, Nicholas K. Corak +2

A presumed impact of global climate change is the increase in frequency and intensity of tropical cyclones. Due to the possible destruction that occurs when tropical cyclones make…

math.DS2023★ 6 cited

A Dynamical Systems Approach for Most Probable Escape Paths over Periodic Boundaries

Emmanuel Fleurantin, Katherine Slyman, Blake Barker +1

Analyzing when noisy trajectories, in the two dimensional plane, of a stochastic dynamical system exit the basin of attraction of a fixed point is specifically challenging when a p…

math.DS2022★ 26 cited

Rate and Noise-Induced Tipping Working in Concert

Katherine Slyman, Christopher K. Jones

Rate-induced tipping occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states. We show that the addition of noise to th…