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Beate Zimmer, Ph.D.
Associate Professor of Mathematics
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Education
- University of Illinois, Urbana, Illinois: Ph.D., Mathematics, October 1994. Thesis Advisor: Peter A. Loeb.
- Universität Konstanz, Konstanz, Germany: Diplom in Mathematics, Minor in History, September 1988.
Research Interests
- Nonstandard Analysis
- Functional Analysis
- Machine Learning
- Environmental Modeling
Publications
G. Beate Zimmer, Nonstandard vector integrals and vector measures. Ph.D. thesis, University of Illinois, October 1994.
G. Beate Zimmer, Nonstandard hulls of Lebesgue-Bochner spaces. In: S. Albeverio, W. A. J. Luxemburg, M. Wolff (eds:) Advances in Analysis, Probability, and Mathematical Physics - Contributions of Nonstandard Analysis, Kluwer, Dordrecht, 1995, p.132-139.
G. Beate Zimmer, An extension of the Bochner integral generalizing the Loeb-Osswald integral. Mathematical Proceedings of the Cambridge Philosophical Society (1998), 123, p. 111-131.
Nigel J. Cutland and G. Beate Zimmer (corresponding author), A new proof of the Banach-Stone Theorem. Bulletin of the Australian Mathematical Society, Vol. 57 (1998), p. 55-58.
G. Beate Zimmer, Philippe E. Tissot , Jeremy S. Flores, Zack Bowles, Alexey L. Sadovski, and Carl Steidley, Water Level Forecasting along the Texas Coast: Interdisciplinary Research with Undergraduates. Proceedings of the 2005 American Society for Engineering Education Annual Conference & Exposition, 2005. Published as a CD.
G. Beate Zimmer, Jeremy S. Flores, Philippe E. Tissot, and Alexey L. Sadovski, Research with an Undergraduate Student: Using Entropy to Assess the Training of a Neural Network. Proceedings of the American Society for Engineering Education- Gulf-Southwest Section 2005 Annual Conference. Published as a CD.
Alexey L. Sadovski, Carl Steidley, Philippe E. Tissot, and G. Beate Zimmer, Real time web availability of statistical models for water levels along the Texas coastline. ICINCO 2005, Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics, Barcelona, Spain, September 14-17, 2005. Vol. 4 – Signal Processing, systems modeling and control, p. 218-223 / CD. INSTICC Press 2005.
Nigel J. Cutland and G. Beate Zimmer (corresponding author), Small-Norm Isomorphisms of C(K)-spaces. Proceedings of the Edinburgh Mathematical Society (2005) 48, 585-594.
G. Beate Zimmer, A Unifying Radon-Nikodym Theorem Through Nonstandard Hulls. Illinois Journal of Mathematics, Vol. 49, No. 3, Fall 2005, p. 873-883.
Alexey L Sadovski, G. Beate Zimmer, Blair Sterba-Boatwright, Philippe Tissot, Ray Bachnak, Analysis of the Gulf of Mexico Coastal and Estuarine Water Levels as Random Signals, Proceedings of the 6th WSEAS International conference on Simulation, Modeling and Optimization, in Lisbon, September 2006.
G. Beate Zimmer, A Radon-Nikodym theorem for a vector-valued reference measure. To appear as chapter 16 in Imme van den Berg and Vitor Neves (eds.) The Strength of Nonstandard Analysis The Strength of Nonstandard Analysis, Springer Verlag, to appear in 2006 or 2007.
Abstracts for 2006
G. Beate Zimmer, “Custom Performance Functions for ANN applications to coastal water level forecasts”. Joint Mathematics Meetings, AMS Mathematical Biology session. San Antonio, TX, January 2006.
Alexey L. Sadovski and G. Beate Zimmer, “Optimal Allocation of Energy Resources for Athletes in Bicycling, Running, Skiing and Swimming Competitions as a Time Optimal Control Problem”. Special Session on the Mathematics of Sport, Joint Math Meetings, January 2006.
Sadovski and G. Beate Zimmer, “Coastal and Estuarine Water levels as a Random Signal”, International Symposium on Mathematical Methods Applied to the Sciences (SIMMAC) XV, Feb. 2006.
Philippe Tissot and Beate Zimmer, “ANN Training Methods Targeting Performance during Extreme Events.” 87th American Meteorological Society Annual Meeting, January 2007. Accepted.
John Amos, Ron Lai, Beate Zimmer, Adriana Leiva and Ian MacDonald, “Application of Satellite SAR for Discovery and Quantification of natural Marine oil seeps”, American Geophysical Union, Fall 2006 meeting. Accepted.
Robyn Ball, Philippe Tissot, Beate Zimmer, John Adams, and Blair Sterba-Boatwright, “ANN Predictive Water Temperature Modeling of Cold Water Events in a Shallow Lagoon”, 87th American Meteorological Society Annual Meeting, January 2007. Accepted.
