Publications

Most probable transition paths in piecewise-smooth stochastic differential equations. Physica D, 439 (2022), 133424.
K Hill, J Zanetell, JA Gemmer. 
[Physica D | ResearchGate]

Estimating The Sea Ice Floe Size Distribution Using Satellite Altimetry: Theory, Climatology, and Model Comparison. The Cryosphere, 13 (2019), 2869-2885.
C Horvat, L Roach, R Tilling, C Bitz, B Fox-Kemper, C Guider, K Hill, A Ridout, and A Sheperd.
[Cryosphere]
​
Mathematical model of gender bias and homophily in professional hierarchies. Chaos, 29 (2) (2019), 023135.
SM Clifton, K Hill, AJ Karamchandani, EA Autry, P McMahon, G Sun. 
[pdf and SI | Chaos | data and code]
Characterizing tipping in a stochastic reduced Stommel-type model in higher dimensions. Research Perspectives CRM Barcelona, Extended Abstracts Spring 2016, 25-29. 
C Budd, P Glendenning,  K Hill, R Kuske.
[pdf | Springer]
​
Analysis of an Arctic sea ice loss model in the limit of a discontinuous albedo, SIAM Journal on Applied Dynamical Systems, 15 (2) (2016), 1163–1192.
K Hill, DS Abbot, M Silber.
[pdf | SIADS]

Laplace transforms for the nabla-difference operator, PanAmerican Mathematical Journal, 21 (3) (2011), 79-96.
J Hein, Z McCarthy, N Gaswick, B McKain, K Speer. 
[pdf]

Continuous threshold prey harvesting in predator-prey models, International Journal of Mathematical and Computational Sciences, 5 (2) (2011), 111-118.
J Bohn, J Rebaza, K Speer. 
[pdf | IJMCS]

​Boundary data smoothness for solutions of nonlocal boundary value problems for second order difference equations, Communications on Applied Nonlinear Analysis, 16 (2) (2009), 1-12.
​B Hopkins, E Kim, J Lyons, K Speer.
​[pdf]

Preprints

Heat conduction through permafrost and its potential for explosive behavior. (2018)
K Hill, R McGehee. 
[ResearchGate]

​Persistence of saddle behavior in the nonsmooth limit of smooth dynamical systems. (2015)
J Leifeld, K Hill, A Roberts. ​
[ResearchGate] ​

PhD Thesis

​Bifurcation analysis of a piecewise-smooth Arctic energy balance model. Northwestern University, 2017.
[pdf | ProQuest]