Faculty Research and Selected Publications

Department of Mathematics and Statistics
Bowling Green State University

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

An expanded listing for the Department's Probabilty and Statistics Faculty is on a separate page.

Albert, James H.
Ph.D., Purdue University. Professor; Bayesian analysis, statistical computing and graphics, contingency tables, exploratory data analysis, teaching of statistics, analysis of sports data.

Answering questions about baseball using statistics (with B. James and H. Stern), Chance, 6 (1993), 17-22.
Bayesian Regression Analysis of Binary and Polychotomous Response Data (with S. Chib), Journal of the American Statistical Association, 88 (1993), 657-667.
Teaching Bayesian Statistics Using Sampling Methods and MINITAB, The American Statistician, 47 (1993), 182-191.
Bayesian residual analysis for binary response regression models (with S. Chib), Biometrika (1995).
Bayesian estimation of normal ogive response curves using Gibbs sampling, Journal of Educational Statistics, 17 (1992), 251-269.

Applebaum, Charles H.
Ph.D., Rutgers University. Associate Professor; Recursive function theory with an emphasis in the theory of recursive equivalence types, software verification and specification theory.

PVS-design for a practical verification system (with J. G. Williams), MITRE Technical Report #8936, May 1983.
An introduction to w-extensions of w-groups, J. Symbolic Logic, 47 (1982), 27-36.
w-semigroups, Rocky Mountain J. Math., 47 (1974), 597-620.
The recursive equivalence type of a decomposition of an w-group, J. Austral. Math. Soc., 15 (1973), 172-176.
w-homomorphisms and w-groups, J. Symbolic Logic, 36 (1971), 55-65.

Bennett, Curtis D.
Ph.D., University of Chicago. Associate Professor; Groups and geometries, buildings, lie algebras.

Affine L-buildings I, Proceedings London Mathematical Society, 68(3) (1994), 541-576.
Special imaginary roots of a Kac-Moody lie algebra whose reflections preserve root multiplicites, Journal of Algebra, 158 (1993), 244-267.
Twin trees and lL-gons, submitted.
Signed Dynkin diagrams and related groups, Proceedings of the XXIst Dennison Conference on Groups (1993), edited by R. Solomon.
A generalization of semimodular supersolvable lattices (with B. Sagan), to appear in Journal of Algebraic Combinatorics.

Carothers, Neal L.
Ph.D., The Ohio State University. Professor; Banach space theory, functional analysis.

Real Analysis, Cambridge University Press, 2000.
Splitting of Banach spaces induced by Clifford algebras (with S. J. Dilworth and D. Sobecki), Proceedings of the American Mathematical Society, 128 (1999), 1347-1356.
On a localization of the UKK property and the fixed point property in Lw,1 (with S. J. Dilworth and C. J. Lennard), in Proceedings of the International Conference on the Interaction between Functional Analysis, Harmonic Analysis and Probability Theory, Marcel Dekker, 1995.
Isometries of Lorentz Function Spaces (with R. Haydon and P. K. Lin), Israel J. Math., 84 (1993), 265-287.
A Fixed Point Property for the Lorentz space Lp,1 (with S. J. Dilworth, C. J. Lennard, and D. A. Trautman), Indiana Univ. Math. J., 40 (1991), 345-352.

Chan, Kit
Ph.D., University of Michigan-Ann Arbor. Associate Professor; Functional analysis, function theory, operator theory.

Chaotic unbounded differentiation operators, Integral Equations and Operator Theory (with J. Bes and S. Seubert), to appear.
The density of hypercyclic operators on a Hilbert space, Journal of Operator Theory, to appear.
Hypercyclicity of the operator algebra for a separable Hilbert space, Journal of Operator Theory, 42 (1999), 231-244.
C*-algebras generated by a subnormal operator (with Z. Cuckovic), Trans. Amer. Math. Soc., 351 (1999), 1445-1460.
Reducing subspaces of compressed analytic Toeplitz operators on the Hardy space (with S. Seubert), Integral Equations and Operator Theory, 28 (1997), 147-157.

Chen, Hanfeng
Ph.D., University of Wisconsin-Madison. Associate Professor; Analysis of transformed data, regression analysis, quality control, multivariate analysis.

Tests following transformations, to appear in The Annals of Statistics.
Comparisons of lognormal population means, Proceedings of the American Mathematical Society, 12 (1994), 915-924.
A multivariate process capability index over a rectangular solid tolerance zone, Statistica Sinica, 4 (1994), 749-758.
Bounds on AREs of tests following Box-Cox transformations (with W. Y. Loh), The Annals of Statistics, 20 (1992), 1485-1500.
Simultaneous confidence bands for comparing and assessing diagnostic markers (with J. Su), Communications in Statistics Theory and Methods, 24 (1995), 375-393.

Chen, John T.
Ph.D., University of Sydney, Australia. Assistant Professor; Statistical inference in biostatistics, step-wise multiple comparisons, probability inequalities, multivariate analysis, statistical consulting.

A refinement of multivariate Bonferroni-type inequalities (with E. Seneta), Journal of Applied Probability, 37 (2000), 276-282.
Multivariate Sobel-Uppuluri-Galambos-type bounds (with E. Seneta), Ukrainian Mathematical Journal, 52(9) (2000), 1283-1293.
Age and Sex-related Risk Factors for Adolescent Suicide (with D. Brent, M. Baugher, J. Bridge and L. Chiappetta), Journal of the American Academy of Child and Adolescent Psychiatry, 38(12) (1999), 1497-1505.
Optimal Lower Bounds for Bivariate Probabilities. Advances in Applied Probability, 30 (1998), 476-492.
Simultaneous Confidence Intervals (with F. M. Hoppe), The Encyclopedia of Biostatistics, Edited by Peter Armitage, John Wiley & Sons, New York. (1998) Vol. 5, 4114-4116.

Chou, So-Hsiang
Ph.D., University of Pittsburgh. Professor; Numerical analysis, CFD.

A Network model for incompressible two-fluid flow and its numerical solution, Numerical Methods for PDEs, 5 (1989), 1-24.
Convergence of nonconforming Wilson element for a class of nonlinear parabolic problems (with Q. Li), Mathematics of Computation, 54 (1990), 509-524.
Analysis and covergence of a covolume method for the generalized Stokes problem, Mathematics of Computation, 66 (1997), 85-104.
Mixed covolume methods for elliptic problems on triangular grids (with D. Y. Kwak and P. S. Vassilevski), SIAM J. Numer. Anal., 35 (1998), 1850-1861.
A General mixed covolume framework for constructing conservative schemes for elliptic problems (with P. S. Vassilevski), Mathematics of Computation, 68 (1999), 991-1011.

Fong, Humphrey S.
Ph.D., The Ohio State University. Associate Professor; Probability, real analysis.

Gresser, John T.
Ph.D., University of Wisconsin-Milwaukee. Associate Professor; Complex analysis.

A Mathematica Approach to Calculus, Prentice Hall, 1999.
Calculus with a TI Graphics Calculator, Prentice Hall, 1999.
A Maple Approach to Calculus, Prentice Hall, 1998.
Integral operators on certain subclasses of univalent functions (with P. Mocanu, H. Al-Amiri, K. Chan, and S. Seubert), Rev. Roumaine Math. Pures Appl., 40 (1995), 339-348.
Starlikeness of certain analytic functions (with P. Mocanu, H. Al-Amiri, K. Chan, and S. Seubert), Mathematica Cluj, 36 (1994), 73-79.

Gupta, Arjun K.
Ph.D., Purdue University. Distinguished University Professor; Multivariate statistical analysis, analysis of categorical data, applied statistics.

Matrix Variate Distributions (with Nagar), Chapman & Hall/CRC, 2000.
Parametric Statistical Change Point Analysis (with Chen), Birkhauser, 2000.
A variable selection technique in discriminant analysis with application in marketing data (with Logan and Chen), Journal of Statistical Computation and simulation, 63 (1999), 187-199.
The maximum likelihood estimation of the binomial parameter n (with Nguyen and Wang), Canadian Journal of Statistics, 27 (1999), 599-606.
Testing and locating variance change points with application to stock prices (with Chen), Journal of American Statistical Association, 92 (1997), 730-747.

Hayden, John L.
Ph.D., Michigan State University. Professor; Finite group theory, designs and codes, finite geometry.

On symmetric incidence matrices of projective planes (with P. Dey), to appear in Journal of Designs, Codes, and Cryptography.
Elementary Abelian Cartesian groups, Canadian J. Math., Vol. XL, No. 6, 1988, 1315-1321.
Codes and designs (with M. Hall & W. Bridges), J. Combinatorial Theory, Series A, Vol. 31, No. 2, 1981, 155-174.
A characterization of the finite simple group PSp4(3), Canadian J. Math., 24 (1973), 539-553.

Hern, Thomas A.
Ph.D., The Ohio State University. Professor; Probability, computer aided geometric design, computational linear algebra.

Gaussian Elimination in Integer Arithmetic: An Application of the L-U Factorization, College Mathematics Journal, Jan., 1993, 67-71. Reprinted in Resources for Teaching Linear Algebra, MAA Notes series, 1997.
Viewing Some Concepts and Applications in Linear Algebra (with C. Long), Visualization in Teaching and Learning Mathematics, MAA Notes Series, No. 19, Mathematical Association of America, 1991, 173-190.
Graphing the Complex Zeros of Polynomials Using Modulus Surfaces (with C. Long), College Mathematics Journal, 1989, Vol. 20, No. 2, 98-105.
An Apple Cart for the Classroom (with C. Long), Collegiate Microcomputer, 1985, Vol. 3, No. 1, 51-54.
Error Estimates for the weak convergence to certain infinitely divisible laws, Ann. of Math. Stat., 43 (1972), 1592-1602.

Hoffman, Corneliu
Ph.D., University of Southern California. Assistant Professor; Finite Groups, representation theory.

On von Neumann's concept of metric comparability, Stud. Cerc. Mat., 44 (1992), no. 4.
The first cohomology group and generation of simple groups (with R. Guralnick), Groups and Geometry, Siena Conference 1996, Birkhauser 1998.
On the cohomology of finite Chevalley groups, J. of Algebra, 226 (2000), 649-689.
Cross characteristic projective representations for some classical groups J. of Algebra, 229 (2000), 666-677.
On some examples of simple quantum groups, Comm. Algebra, 28 (2000), no. 4, 1867-1873.

Holland, W. Charles
Ph.D., Tulane University. Distinguished Research Professor; Ordered group theory, ordered permutation groups.

The lattice-ordered group of automorphisms of an ordered set, Michigan Math. J., 10(1963), 399-408.
The structure of l-group varieties (with A.M.W. Glass and S. H. McCleary), Algebra Universalis, 10 (1980), 1-20.
Lawless order (with A. Mekler and S. Shelah), Order, 1 (1985), 383-397.
A very large class of small varieties of lattice-ordered groups (with N. Ya. Medvedev), Communications in Algebra, 22(2) (1994), 551-578.
Representation of order automorphisms by words (with S. Adeleke), Forum Mathematicum, 6 (1994), 315-321.

Izzo, Alexander
Ph.D., University of California-Berkeley. Associate Professor; Banach algebras, functional analysis, several complex variables.

How to determine your gas milage, Math. Magazine, 73 (2000), 226-231.
C^r convergence of Picard's successive approximations, Proc. Amer. Math. Soc., 127 (1999), 2059-2063.
A characterization of C(K) among the uniform algebras containing A(K), Indiana Univ. Math. J., 46 (1997), 771-788.
Failure of polynomial approximation on polynomially convex subsets of the sphere, Bull. London Math. Soc., 28 (1996), 393-397.
A functional analysis proof of the existence of Haar measure on locally compact abelian groups, Proc. Amer. Math. Soc., 115 (1992), 581-583.

McGovern, Warren Wm.
Ph.D., University of Florida. Assistant Professor; Ordered algebraic structures, rings of continuous functions.

Free topological groups over weak P-spaces, Top. Appl., to appear.
Rings of quotients of f-rings by Gabriel filters of ideals (with J. Martinez), Comm. Alg., 27(7) (1999), 3495-3511.
The separated cellularity of a topological space and finite separation spaces (with R. T. Finn and J. Martinez), Top. Appl., 97 (1999), 165-174.
Singular f-rings which are \alpha-G.C.D. rings, Top. Appl., 88(3) (1998), 199-205.
The global dimension of an f-ring via its space of minimal prime ideals, Comm. Alg., 25(3) (1997), 905-921.

Meel, David E.
Ed.D., University of Pittsburgh. Assistant Professor; Collegiate Mathematics Education, Calculus, Linear Algebra.

E-mail dialogue journals in a college calculus classroom: A look at the implementation and benefits, Journal of Computers in Mathematics and Science Teaching, 18(4) (1999), 387-413.
Learning logs: Enlivening elementary linear algebra, PRIMUS, Vol. 9, No. 3, 1999, 205-225.
Prospective teachers' understandings: Function and composite function, Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal, October 1999.
Honor students' calculus understandings: Comparing Calculus & Mathematica and traditional calculus students. In A.H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in Collegiate Mathematics Education III, 1998, 163-215.
Assessment in a calculator available classroom: Some considerations, Educational Assessment, Vol. 4, No. 3, 149-175.

Moses, Barbara E.
Ph.D., Indiana University. Associate Professor; Mathematics education, problem solving.

Beyond Problem Solving: Problem Posing, Problem Posing: Reflections and Applications, S. Brown and M. Wlater (eds.), Lawrence Erlbaum Associates, 1993.
IDEAS: Mathematics and Music, Arithmetic Teacher, Vol. 40, No. 4, December 1992, 215-225.
Developing Spatial Thinking in the Middle Grades, Arithmetic Teacher, Vol. 37, No. 6, February 1990, 59-63.
On the Tip-of-the-Tongue (Recalling Mathematical Concepts), School Science and Mathematics, Vol. 88, No. 8, December 1988, 696-704.
The Visualization Approach to Mathematics Problem Solving, Teachings for Thinking: Creativity in the Classroom, (1984).

Nguyen, Truc T.
Ph.D., University of Pittsburgh. Professor; Mathematical statistics, characterization problems in statistics, ordered statistical inference.

A characterization of the multivariate discrete exponential family (with Gupta and Wang), Stochastic Analysis and Applications, 18 (2000), 417-427.
Stability of a characterization of normal distributions based on the first two conditional moments (with Dinh), Internat. J. Math & Math. Sciences, 23 (2000), 663-673.
On Maximum Likelihood Estimation of the binomial parameter n (with Wang and Gupta), Canad. J. of Statist., 27 (2000), 599-606.
Stability of characterizations of normal distributionsbased on the conditional expected values of the sample skewness and the sample kurtosis (with Dinh), Metrika, 49 (1999), 147-158.
Characterizations of normal distributions supported goodness-of-fit tests based on sample skewness and sample kurtosis (with Dinh), Metrika, 48 (1998), 21-30.

Seubert, Steven M.
Ph.D., University of Virginia. Professor; Functional analysis, operator theory, function theory.

Spectral Synthesis of Jordan Operators, Journal of Mathematical Analysis and Applications, 249 (2000), 625-667.
Frechet Differentiability of Parameter-dependent Analytic Semi-groups (with G. Wade), Journal of Mathematical Analysis and Applications, 232 (1999), 119-137.
Reducing Subspaces of Analytic Toeplitz Operators on the Hardy Space H^2 (with K. Chan), Journal of Integral Equations and Operator Theory, 28 (1997), 147-157.
Weakly outer polynomials (with Ray Cheng), Michigan Mathematical Journal, 41 (1994), 235-246.
Chaotic Unbounded Differentiation Operators (with J. Bes and K. Chan), to appear in Journal of Mathematical Analysis and Applications.

Shpectorov, Sergey
Ph.D., Moscow State University, Associate Professor; Finite groups, diagram geometries, algebraic combinatorics.

Flag-transitive hyperplane complements in classical generalized quadrangles (with A. Pasini), Bull. Belg. Math. Soc., 6 (1999), 571-587.
Affine distance-transitive graphs: the cross characteristic case (with A. M. Cohen and K. Magaard), Europ. J. Combin, 20 (1999), 351-373.
A new cover of the 3-local geometry of Co_1 (with A.A. Ivanov), Geom. Dedicata, 73 (1998), 237-244.

Steiner, Ray P.
Ph.D., Arizona State University. Professor; Number theory, Diophantine equations, Fibonacci numbers.

A small contribution to Catalan's equation (with Glass, Meronk, and Okada), Journal of Number Theory, 47(2) (1994), 131-137.
Simplifying the solution of Ljunggren's equation y^2 + 1 = 2x4 (with N. Tsanakis), Journal of Number Theory, 37(2) (1991), 123-132.
Constants in lower bounds for linear forms in the logarithms of algebraic numbers I: the general case (with Blass, Glass, Manski, and Meronk), Acta Arithmetica, 55 (1990), 1-14.
Constants in lower bounds for linear forms in the logarithms of algebraic numbers II: the homogeneous rational case (with Blass, Glass, Manski, and Meronk), Acta Arithmetica, 55 (1990), 15-22.
A theorem on the syracuse problem, Proceedings of the 7th Manitoba Conference on Numerical Mathematics, 1977, 553-559.

Sun, Tong
Ph.D., Texas A&M University. Assistant Professor; Numerical Analysis, Scientific Computation.

Supercinvergent derivative recovery for the intermediate finite element family of the second order (with Z.Zhang and N. Yan), accepted for publication in IMA Journal of Numerical Analysis.
Object-oriented programming for general mixed finite element methods (with R. Ewing, H. Chen, S. Lyons and G. Qin), Proceedings of SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing, October 1998, Yorktown Heights, New York.
A locking-free finite element method for Naghdi shells (with J. Bramble), Journal of Computational and Applied Mathematics, 89 (1998), 119-133.
A negative norm least squares method for Reissner-Mindlin plates (with J. Bramble), Mathematics of Computation, 67 (1998), 901-916.

Szekely, Gabor
Ph.D., Eotvos Lorand University (Budapest, Hungary). Professor; Statistics, probability, financial engineering and actuarial science.

Algebraic Probability Theory (with I. Z. Ruzsa), Wiley, New York, 1988.
Contests in Higher Mathematics, Springer, New York, 1995.
Statistics for the 21st Century, (ed. with C. R. Rao), Dekker, New York, 2000.
On the lottery problem (with Z. Furedi and Z. Zubor), Journal of Combinatorial Design, 4 (1996), 5-10.
Identifiability of distributions of independent random variables by linear combinations and moments (with C. R. Rao), Sanhkya A, 62 (2000), 193-202.
Characterization of diagonal symmetry: location unknown, and a test based on allied U-processes (with P. K. Sen), Journal of Statistical Planning (accepted).

Terwilliger, Wallace L.
Ph.D., Washington State University. Associate Professor; Uniform spaces.

CYSTICEROS TENUICOLLIS: A New State Record for Ohio, Ohio Journal of Science, Vol. 88, June 1988, No. 3 (with K. Schurr and F. Rabalais).

Wade, J. Gordon
Ph.D., Brown University. Associate Professor; Numerical analysis.

A Convergence Theory for fully Galerkin Approximations of Parabolic PDE in Inverse Problems, Journal of Mathematical Systems, Estimation and Control, 4(2) (1994).
A Convergence Framework for Approximation Methods for DPS Estimation Problems (with H. T. Banks), Inverse Problems in Engineering Sciences (M. Yamaguti et al., eds.), Springer ICM-90 Satellite Proceedings, 1991, 93-99.
Multilevel Parameter Estimation (with A. Brandt and S. F. McCormick), Prel. Proceedings of the Fifth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, April 1991.
Multigrid Solution of Linearized, Regularized Least-Squares Problems in Electrical Impedance Tomography (with S. F. McCormick), Journal of Inverse Problems 9, No. 6 (Dec. 1993), 697-713.
Iterative SVD-based Methods for Ill-posed Problems (with C. R. Vogel), Prel. Proceedings of the 1992 Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, April 1992; and SIAM Journal on Scientific and Statistical Computing, May, 1994.

Weber, Waldemar C.
Ph.D., University of Illinois. Associate Professor; Geometry.

Zirbel, Craig L.
Ph.D., Princeton University. Assistant Professor; Applied probability, stochastic processes, turbulent fluid flows.

A mean-field statistical theory for the nonlinear Schrodinger equation (with Richard Jordan and Bruce Turkington), Physica D, 137 (2000), 353--378.
Mean occupation times of continuous one-dimensional Markov processes, Stochastic Processes and their Applications, 69 (1997), 161-178.
Translation and dispersion of mass by isotropic Brownian flows, Stochastic Processes and their Applications, 70 (1997), 1-29.
Mass transport by Brownian flows (with Erhan Cinlar), appears in Stochastic Models of Geosystems, IMA Volumes in Mathematics and its Applications (1997).
Dispersion of particle systems in Brownian flows (with Erhan Cinlar), Advances in Applied Probability, 28 (1996), 53-74.

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