20 citations · 50 across the 5 of their papers we have counts for
5 papers
Most probable transition paths in piecewise-smooth stochastic differential equations
Kaitlin Hill, Jessica Zanetell, John A Gemmer
We develop a path integral framework for determining most probable paths in a class of systems of stochastic differential equations with piecewise-smooth drift and additive noise.…
Mathematical model of gender bias and homophily in professional hierarchies
Sara M. Clifton, Kaitlin Hill, Avinash J. Karamchandani +3
Women have become better represented in business, academia, and government over time, yet a dearth of women at the highest levels of leadership remains. Sociologists have attribute…
Heat conduction through permafrost and its potential for explosive behavior
Kaitlin Hill, Richard McGehee
The recent widespread thaw of permafrost has led to observations of explosive gas emissions, which expel ice and soil debris and leave behind large craters. This phenomenon appears…
Analysis of an Arctic sea ice loss model in the limit of a discontinuous albedo
Kaitlin Hill, Dorian S. Abbot, Mary Silber
As Arctic sea ice extent decreases with increasing greenhouse gases, there is a growing interest in whether there could be a bifurcation associated with its loss, and whether there…
Persistence of Saddle Behavior in the Nonsmooth Limit of Smooth Dynamical Systems
Julie Leifeld, Kaitlin Hill, Andrew Roberts
Models such as those involving abrupt changes in the Earth's reflectivity due to ice melt and formation often use nonlinear terms (e.g., hyperbolic tangent) to model the transition…