Dr. Stover is an applied mathematician with primary research interests in probability theory, stochastic (random) processes, mathematical modeling with applications in theoretical ecology and population dynamics. In particular, he studies stochastic domination, monotonicity, and coupling, which can be thought of simulating random processes together and examining their relationships. He also studies how individual variability or heterogeneity (e.g. different propensities to reproduce or die) impacts population dynamics. He is an avid reader in a variety of areas, especially in philosophy, religion, and the metaphysical foundations of mathematics and science, and in human history and language. He also enjoys outdoor activities such as hiking, camping, and rock climbing.
Stover, J.P. (2022). Stochastic domination for multirate point processes with application to the contact process in a multitype random environment. (submitted manuscript)
Stover, J.P. (2022). Bounds via spectral radius-preserving row sum expansions. Electronic Journal of Linear Algebra, Volume 38, pp. 367--376. DOI: 10.13001/ela.2022.6981
Paul De Palma, Leon Antonio Garcia-Camargo, Jeb Kilfoyle, Mark Vandam, Joseph Stover, (2021). Speech tested for Zipfian fit using rigorous statistical techniques. Proceedings of the Linguistic Society of America, Vol 6, No 1. DOI: 10.3765/plsa.v6i1.4975
Stover, J.P. (2020). A stochastic comparison result for the multitype contact process with unequal death rates. Statistics & Probability Letters, 162:108763. DOI: 10.1016/j.spl.2020.108763
Kendall, B.E., Fox, G.A. & Stover, J.P. (2018). Behavioral syndromes can reduce population density: boldness-aggression tradeoffs and demographic heterogeneity. Behavioral Ecology, 29(1):31--41. DOI: 10.1093/beheco/arx068
Stover, J.P., Kendall, B.E. & Nisbet, R.M. (2014). Consequences of dispersal heterogeneity for population spread and persistence in the face of advection. Bulletin of Mathematical Biology, 76(11):2681--2710. DOI: 10.1007/s11538-014-0014-z
Stover, J.P., Kendall, B.E. & Fox, G.A. (2012). Demographic heterogeneity impacts density-dependent population dynamics, Theoretical Ecology, 5:297--309. DOI: 10.1007/s12080-011-0129-x
Timmins, S.M., James, A., Stover, J., & Plank, M. (2010). Is garden waste dumping really a problem? 17th Australasian Weeds Conference Papers and Proceedings, p.455--458 URL: https://ir.canterbury.ac.nz/handle/10092/102394
Stover, J. (2010). Attractive n-Type Contact Processes. arXiv:1006.5723
Stochastic processes and probability theory
Stochastic domination, monotonicity
Theoretical ecology, population modeling
Population spread and dispersal, biological invasions
Interacting particle systems, stochastic spatial models, multitype contact processes
Markov chain Monte-Carlo, exact sampling
Statistics and data analysis
