# Paul Hriljac

Professor Mathematics

Mathematics Department

Prescott College of Arts & Sciences

Prescott campus

#### External Links

*The views expressed on faculty and external web pages are those of the author and do not necessarily represent those of Embry-Riddle Aeronautical University.*

#### Education

- Ph.D. - Doctor of Philosophy in Mathematics, Massachusetts Institute of Technology
- B.S. - Bachelor of Science in Mathematics, University of Illinois System : Chicago

#### Currently Teaching

- MA 412: Probability and Statistics
- CS 303: Network Security
- MA 225: Intro to Discrete Structures

#### Research Projects

#### Publications

P. Hriljac: "How to Use The LMS Algorithm to Construct an Optimal Detector", to be submitted, 2001.

P. Hriljac: "Learning Curves for LMS and Gaussian Regular Processes", submitted to IEEE Trans. On Auto. Control. 2001.

P. Hriljac, Some New Results on Neural Network Learning with Stationary Processes, Proc. of Third International Conference on Aviation and Aerospace, 2000.

P. Hriljac and R. Bloom, Preventing, Stopping, and Managing Treason: Some Conceptual and Statistical Issues for the CounterIntelligence and Personnel Security Disciplines", submittted to Defense Affairs.

P. Hriljac: "Optimality for Data Fusion of Detectors Using Voronoi Cells ", IEEE Trans. on Aerospace and Electronic Systems.Vol. 36, No. 4. October, 2000.

P. Hriljac and D. Roy: "A License To Fly: Recording Flights by Students...And Others", GPS World. 1999

P. Hriljac: "Bayesian Techniques for Sensor Fusion", Proc. of Second International Conference on Aviation and Aerospace, 1998.

M. Bozek-Kuzmicki, P. Hriljac, G. Jacyna, Bayesian Approach to Estimation and Detection of Chaotic/Nonlinear Signals,, ,Proc. of the 3rd Tech. Conf. on Nonlinear Dynamics and Full Spectrum Processing, 1994.

D. Colella, P. Hriljac, G. Jacyna, A Fokker-Planck Statistical Model for Neural Nets,

P. Hriljac, G. Jacyna, R. M. Dellomo, Neural Network Performance Analysis, J. of Underwater Acoustics, 1993.

P. Hriljac, G. Jacyna, Stochastic Models of Neural Network Detectors, Mitre Technical Report, 1993.

P. Hriljac, G. Jacyna, Averaging and Normal Deviation Theory for Nonlinear Nets, Proc. of the Int. Joint Conf. on Neural Networks, 1992.

P. Hriljac, Analytic Dynamics in Some Pseudoconvex Domains, Nonlinear Analysis, 1992.

P. Hriljac, G. Jacyna, R. Leighton, Neural Network Analysis, MITRE Technical Report, 1993.

P. Hriljac, Current Research at MITRE on Neural Networks for Nonlinear Control, Proc. of Autonomous Structural Control Symposium, 1992.

D. Colella, P. Hriljac, G. Jacyna, A Characterization of Neural Network Performance Based on Fokker-Planck Statistical Models, Proc. of the I.E.E.E. Conf. on Neural Networks for Ocean Eng., 1991.

P. Hriljac, Splitting Fields of Principal Homogenous Spaces, New York Number Theory Seminar, Lecture Notes in Mathematics, Vol. 1240, Springer-Verlag, 1987, pp. 214-229.

P. Hriljac, Heights and Arakelovs Intersection Theory, Amer. J. Math., 107, No. 1, (1985). pp.23-38.