|
|
Research
Area: Differential Topology, Discrete Dynamics, Sports Analytics.
Publications:
How do lizards determine dominance? Applying ranking algorithms to animal social behaviour, work with Jordan M. Bush, McKenzie M. Quinn, Michele A. Johnson, Animal Behaviour, 118 (2016), 65 – 74.
Global Dynamics of Triangular Maps, work with Saber Elaydi and Rafael Luis, Nonlinear Analysis Series A: Theory, Methods & Applications, 104 (2014), 75–83.
An Oracle method to predict NFL games, work with Brian Miceli and Thomas Tegtmeyer, Journal of Quantitative Analysis in Sports, 10 (2014) no. 2, 183–196.
Local stability implies global stability for the planar Ricker competition model, work with Saber Elaydi and Rafael Luis, Siscrete and Continuous Dynamical Systems - Series B, 19 (2014), no. 2, 323–351.
Mathematical Classification of Tight Junction Protein Images, work with Katherine Ogawa, Caitlin M. Troyer, Robert G. Doss, Farzan Aminian, and Jonathan M. King, Journal of Microscopy, 252 (2013), no. 2, 100–110.
Algorithmics of Checking Whether a Mapping Is Injective, Surjective, and/or Bijective work with Olga Kosheleva and Vladik Kreinovich, Proceedings of the Fifth International Workshop on Constraint Programming and Decision Making CoProD’12, Novosibirsk, Russia, September 23, 2012.
A Generalization of the Fujisawa-Kuh Global Inversion Theorem work with M. Radulescu and S. Radulescu, Journal of Mathematical Analysis and Applications, 385 (2011), no. 2, 559–564.
Incompressibility and Global Inversion, Topological Methods in Nonlinear Analysis, 35 (2010), no. 1, 69–76.
Foliations and Global Inversion, Commentarii Mathematici Helvetici, 85 (2010), no. 1, 73–93.
Submitted:
Global Stability of Higher Dimensional Monotone Maps work with Saber Elaydi and Rafael Luis
A Geometric generalization of the planar Gale-Nikaido Theorem
Awards and Grants:
- NSF grant 0926702 (Senior Personnel), ``UBM Institutional:
Integrated Research in Biomathematics at Trinity University'', 2010-2014
|
Questions and comments concerning this page are to be
addressed to ebalreira at trinity.edu.
