Papers Published | Mathematics | SIU

Southern Illinois University



College of Engineering, Computing, Technology, and Mathematics

Papers Published

image of math library


Bashkirtseva, I., L. Ryashko and H. Schurz. 2009. Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances. Chaos Solitons Fractals 39(1):72-82. 

Bhattacharya, B. 2009. Relative entropy measures of asymmetry with applications. Sankhya Ser. B 71:97-122. 

Bhattacharya, B. 2009. Optimal use of historical information. J. Statist. Planning and Inference 139:4051-4063. 

Burton, T. A., and J. R. Haddock. 2009. Qualitative properties of solutions of integral equations. Nonlinear Anal. 71(11):5712-5723. 

Cheng, S.-R., and S. Panchapakesan. 2009. Is the selected population the best? – location and scale parameter cases. Comm. Statist. Theory Methods 38(8-10):1553-1560. 

Clark, L. H. 2009. Limit distribution of ascent, descent or excedance length sums of permutations. Appl. Anal. Discrete Math. 3(2):303-309. 

Clark, L. H. 2009. On a coloring problem on the n-cube. Bull. Inst. Combin. Appl. 55:49-56. 

Clark, L. H. 2009. The existence of double error-correcting perfect codes in random graphs. Int. J. Contemp. Math. Sci. 4(5-8):355-370. 

Clark, L. H., and D. B. Johnson. 2009. Central and local limit theorems for generalized rook polynomials. Congressus Numerantium  196:119--126 

Feinsilver, P., and R. Schott. 2009. Finite-dimensional calculus. J. Phys. A  42(37):375214, 16 pp. 

Feng, Z., Y. Yang, D. Xu, P. Zhang, M. M. McCauley,  and J. W. Glasser. 2009. Timely identification of optimal control strategies for emerging infectious diseases. J. Theoretical Biology 259:165-171. 

Fitzgerald, R.W. 2009. Trace forms over finite fields of characteristic 2 with prescribed invariants. Finite Fields Appl. 15:69-81.

Fitzgerald, R.W. 2009. Invariants of trace forms over finite fields of characteristic 2. Finite Fields Appl. 15:261-275. 

Fitzgerald, R. W., and S. Pumplűn. 2009. Norm principles for forms of higher degree permitting composition. Comm. Algebra 37(11):3851-3860.  

Gregory, J. 2009. Averaging and bounding holonomic constraints: applications to ``unsolvable'' pendulum problems. Util. Math. 80:171-181. 

Gregory, J., A. Garcia-Bouso, A. Olivares and E. Staffetti. 2009. Energy-optimal control of unconstrained planar RR robot manipulators. TOP 17(2):385--406. 

Grimmer, R., and M. He. 2009. Fixed point theory and nonlinear periodic systems. Cubo 11(3):101-113.

Hou, X. D., G. L. Mullen, J. A. Sellers and J. L. Yucas. 2009. Reversed Dickson polynomials over finite fields. Finite Fields Appl. 15(6):748-773. 

Huczynska, S., G. L. Mullen and J. L. Yucas. 2009. The extent to which subsets are additively closed. J. Combin. Theory Ser. A 116(4):831-843. 

Hundley, J., and E. Sayag. 2009. Descent construction for GSpin groups: main results and applications. Electron. Res. Announc. Math. Sci. 16:30-36. 

Kannan, N., and S. Panchapakesan. 2009. Does the selected normal population have the smallest variance? Amer. J. Math. Management Sci. 29:109-123. 

Kocik, J., and A. Solecki. 2009. Disentangling a triangle. Amer. Math. Monthly 116(3):228-237. 

Lei, J., J.-C. Wen, Min A, and M. Q. Xiao. 2009. Approximation of Hopkins equation in Hilbert space and its application in polarized illumination modelling. Appl. Anal. 88(4):517-528. 

Lin, Y., X. Gao and M. Q. Xiao. 2009. A high-order finite difference method for 1D nonhomogeneous heat equations. Numer. Methods Partial Differential Equations 25(2):327-346. 

Liu, Z., Q. Wang and H. Schurz. 2009. Inverse optimal noise-to-state stabilization of stochastic recurrent neural networks driven by noise of unknown covariance. Optimal Control Appl. Methods 30(2):163-178. 

Ma, Y., Z. Ding, Y. Qian, Y. W. Wan, K. Tosun, X. Shi, V. Castranova, E. J. Harner and N. L. Guo. 2009. An integrative genomic and proteomic approach to chemosensitivity prediction. Int. J. Oncol. 34(1):107-115.

McSorley, J. P., and P. Feinsilver. 2009. Multivariate matching polynomials of cyclically labelled graphs. Discrete Math. 309(10):3205-3218.   

McSorley, J. P., and W. D. Wallis. 2009. Neighborhood champions in regular graphs. J. Combin. Math. Combin. Comput. 70:49-56. 

Marr, A., N. C. K. Phillips and W. D. Wallis. 2009. Bimagic labellings. AKCE Int. J. Graphs Comb. 6(1):155-160. 

Mohammed, S. E. A., and T. Zhang. 2009. Anticipating stochastic differential systems with memory. Stochastic Process. Appl. 119(9):2773-2802. 

Mohr, A., and T. D. Porter. 2009. Applications of chromatic polynomials involving Stirling numbers. J. Combin. Math. Combin. Comput. 70:57-64.  

Mugdadi, A. R. and Min A. 2009. Bayes estimation of the power hazard function. J. of Interdisciplinary Math. 12:675-689. 

Neuman, E., and J. Sandor. 2009. Companion inequalities for certain bivariate means. Appl. Anal. Discrete Math. 3:46-51. 

Panchapakesan, S. 2009. Shanti Swarup Gupta (1925-2002): A tribute. Amer. J. Math. Management Sci. 29:14-24. 

Redmond, D. 2009. Generalization of some results of J.M. Gandhi. Int. J. Math. Comp. Sci. 4: 3-8. 

Rodkina, A., and H. Schurz. 2009. On positivity and boundedness of solutions of nonlinear stochastic difference equations. Discrete Contin. Dyn. Syst. Suppl.:640-649. 

Schurz, H. 2009. New stochastic integrals, oscillation theorems and energy identities. Commun. Appl. Anal. 13:181-194. 

Schurz, H. 2009. Verification of Lyapunov functions for the analysis of stochastic Lienard equations. Journal of Sound and Vibration 325:938-949. 

Appleby, J.A.D., Rodkina, A., and Schurz, H. 2009. On the oscillation of solutions of stochastic difference equations, Mat. Ensen. Univ. (N. S.) 17(2):1-10.

Simpson, H.C., and S. J. Spector. 2009. Applications of estimates near the boundary to regularity of solutions in linearized elasticity. SIAM J. Math. Anal. 41(3):923-935. 

Sullivan, M. C. 2009. Transverse foliations to nonsingular Morse-Smale flows on the 3-sphere and Bott-integrable Hamiltonian systems. Qual. Theory Dyn. Syst. 7(2):411-415. 

Xiao, M. Q. 2009. The construction of nonlinear discrete-time observers with local Lipschitz conditions. Eur. J. Control 15(2):131-142.

Xiao, M. Q. 2009. State estimation for non-linear discrete-time systems with input signals. IMA J. Math. Control Inform. 26(2):141-150. 

Xu, D., and Z. Feng. 2009. A metapopulation model with local competitions. Discrete Contin. Dyn. Syst. Ser. B 12(2):495-510. 

Xu, J. 2009. Generalized λ-Newton inequalities revisited. JIPAM J. Inequal. Pure Appl. Math. 10(1): Article 19, 8 pp.

II. Peer-Reviewed Book Chapters 

Earnest, A. G., and R. W. Fitzgerald. 2009. Multiplicative properties of integral binary quadratic forms. In: Baeza, R., W. K. Chan, D. W. Hoffmann and R. Schulze-Pillot (Eds.), Quadratic forms--algebra, arithmetic, and geometry, Contemp. Math. 493 (pp. 107-115). American Mathematical Society. 

Mohammed, S. E. A. 2009. Stochastic dynamical systems in infinite dimensions. In: Blath, J., P. Mörters, and M. Scheutzow (Eds.), Trends in stochastic analysis, London Math. Soc. Lecture Note Ser. 353 (pp. 249-282). Cambridge University Press.   

III.  Peer-Reviewed Articles in Conference Proceedings 

McSorley, J. P., C. E. Priebe and W. D. Wallis. 2009. Anomaly graphs and champions. Proc. International Conference on Mathematics and Computer Science (ICMCS) (pp. 18-29). Chennai, India.    

Tall, I. A. 2009. State linearization of control systems: an explicit algorithm. Proc. 48th IEEE Conference on Decision and Control and Chinese Control Conference (pp. 7448-7453). Shanghai, China.  

Tall, I. A. 2009. Explicit feedback linearization of control systems. Proc. 48th IEEE Conference on Decision and Control and Chinese Control Conference (pp. 7454-7459). Shanghai, China. 

Huang, Y., J. Luo, T. Huang and M. Q. Xiao. 2009. The set of asymptotically stable switched sequences of linear discrete-time switching systems. Proc. 48th IEEE Conference on Decision and Control (pp. 2162-2167). Shanghai, China.


I. Peer-Reviewed Journal Articles

Ban, D., and Jantzen, C. (2008). Jacquet modules and the Langlands classification. Michigan Math. J. 56, 637-653.

Bhattacharya, B., and Gregory, J. (2008). A general maximum entropy theory: constraint optimization in probability. J. Comput. Math. Optim. 4(1), 15-29.

Billington, E., and Wallis, W.D. (2008). A golf schedule for 24 players. Bull. Inst. Combin. Appl. 52, 109-110.

Bloom, G.S., Marr, A., and Wallis, W.D. (2008). Magic digraphs. J. Combin. Math. Combin. Comput. 65, 205-212.

Buckwar, E., Kuske, R., Mohammed, S.-E., and Shardlow, T. (2008). Weak convergence of the Euler scheme for stochastic differential delay equations. LMS J. Comput. Math. 11, 60-99.

Burton, T.A. (2008). Integral equations, periodicity, and fixed points. Fixed Point Theory 9(1), 47-65.

Burton, T.A. (2008). Integral equations with contrasting kernels. Electron. J. Qual. Theory Differ. Equ. 2, 22 pp.

Burton, T.A. (2008). Integral equations, Lp-forcing, remarkable resolvent: Liapunov functionals. Nonlinear Anal. 68(1), 35-46.

Castillo-Chavez, C., Feng, Z., and Xu, D. (2008). A schistosomiasis model with mating structure and time delay. Math. Biosci. 211(2), 333-341.

Clark, L.H. (2008). Limit theorems for Poincaré polynomials of the Bruhat order on Sn. Int. J. Pure Appl. Math. 44(2), 177-188.

Clark, L.H. (2008). Ascents and descents in random trees. J. Discrete Math. Sci. Cryptogr. 11(4), 483-492.

Clark, L.H., and Gutman, I. (2008). The exponent in the general Randić index. J. Math. Chem. 43(1), 32-44.

Clark, L.H., Holiday, S.H., McSorley, J.P., and Porter, T.D. (2008). Enumerating labeled graphs with certain neighborhood properties. Congr. Numer. 190, 193-206.

Clark, L.H., and Johnson, D.B. (2008). On the independent domination number of a random graph. Congr. Numer. 192, 179-191.

Clark, L.H., and McSorley, J.P. (2008). Comment on: ``The expectation of independent domination number over randomly binary trees''. Ars Combin. 87, 257-261

Dai, X., Huang, Y., and Xiao, M. (2008). Almost sure stability of discrete-time switching linear systems: a topological point of view. SIAM J. Control Optim. 47(4), 2137-2156.

Feinsilver, P. (2008). Zeon algebra, Fock space, and Markov chains. Commun. Stoch. Anal. 2(2), 263-275.

Ginzburg, D., and Hundley, J. (2008). On certain Rankin-Selberg integrals on GE6. Nagoya Math. J. 191, 21-78.

Ginzburg, D., and Hundley, J. (2008). The adjoint L-function for GL5. Electron. Res. Announc. Math. Sci. 15, 24-32.

Hicks, K., Mullen, G.L., Yucas, J.L., and Zavislak, R. (2008). A polynomial analogue of the 3n+1 problem. Amer. Math. Monthly 115(7), 615-622.

Hjouj, F., and Kammler, D.W. (2008). Identification of reflected, scaled, translated and rotated objects from their radon projection. IEEE Trans. Image Proc. 17, 301-310.

Hundley, J. (2008). Spin L-functions for GSO10 and GSO12. Israel J. Math. 165, 103-132.

Jeyaratnam, S., and Panchapakesan, S. (2008). Selection and ranking procedures for Type I extreme value populations and a related homogeneity test. Comm. Statist. - Computation and Simulation 37, 881-896.

MacDougall, J.A., and Wallis, W.D. (2008). Strong edge-magic graphs of maximum size. Discrete Math. 308(13), 2756-2763.

McSorley, J.P. (2008). Constructing and classifying neighborhood anti-Sperner graphs. Discrete Math. 308(23), 5428-5445.

McSorley, J.P., Feinsilver, P., and Schott, R. (2008). Generating orthogonal polynomials and their derivatives using vertex|matching-partitions of graphs. Ars Combin. 87, 75-95.

Mohammed, S.-E.A., Zhang, T., and Zhao, H. (2008). The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations. Mem. Amer. Math. Soc. 196, vi+105 pp. ISBN: 978-0-8218-4250-8.

Neuman, E., and Kazi, H. (2008). Inequalities and bounds for elliptic integrals. Contemp. Math. 471, 127-138.

Neuman, E., and Sándor, J. (2008). Inequalities for the ratios of certain bivariate means. J. Math. Inequal. 2(3), 383-396.

Neuman, E., and Sándor, J. (2008). Generalized Heronian means. Math. Pannon. 19(1), 57-70.

Priebe, C.E., and Wallis, W.D. (2008). On the anomalous behaviour of a class of locality statistics. Discrete Math. 308(10), 2034-2037.

Redmond, D. (2008). Divisibility tests. Math. Teach. 102, 87-89.

Rodkina, A., Schurz, H., and Shaikhet, L. (2008). Almost sure stability of some stochastic dynamical systems with memory. Discrete Contin. Dyn. Syst. 21 (2), 571-593.

Schurz, H. (2008). Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise. Discrete Contin. Dyn. Syst. Ser. S 1(2), 353-363.

Schurz, H. (2008). How rates of Lp-convergence carry over to numerical approximations of some convex, non-smooth functionals of SDEs. Int. J. Numer. Anal. Model 5(1), 55-72.

Simpson, H.C., and Spector, S.J. (2008). On bifurcation in finite elasticity: buckling of a rectangular rod. J. Elasticity 92(3), 277-326.

Sivaloganathan, J., and Spector, S.J. (2008). Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity. J. Elasticity 93(2), 177-187.

Sivaloganathan, J., and Spector, S.J. (2008). Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(1), 201-213.

Sullivan, M.C. (2008). Factoring families of positive knots on Lorentz-like templates. J. Knot Theory Ramifications 17(10), 1175-1187.

Wallis, W.D. (2008). The handshake problem and generalizations. Bull. Inst. Combin. Appl. 52, 61-64.

Xiao, M. (2008). Quantitative characteristic of rotating stall and surge for Moore-Greitzer PDE model of an axial flow compressor. SIAM J. Appl. Dyn. Syst. 7(1), 39-62.

Xiao, M., Kravaris, C., and Kazantzis, N. (2008). On the nonlinear discrete-time observer design problems. International J. of Modelling, Identification, and Control 4(1), 3-11.

Xu, J. (2008). Generalized Newton-like inequalities. JIPAM. J. Inequal. Pure Appl. Math. 9(3), Article 85, 10 pp.

Xu, J. (2008). Markov chain small-world model with asymmetric transition probabilities. Electron. J. Linear Algebra 17, 616-636.

Yang, Y., Xu, D., and Feng, X. (2008). Analysis of a model with multiple infectious stages and arbitrarily distributed stage durations. Math. Model. Nat. Phenom. 3(7), 180-193.

II. Peer-Reviewed Book Chapters

Neuman, E. (2008). The Hermite-Hadamard inequalities for double Dirichlet averages and their applications to special functions. In Advances in Inequalities for Special Functions, P. Cerone and. S.S. Dragomir (Eds.) (pp.107-117). New York: Nova Science Publ.

Fitzgerald, R.W., and Yucas, J. (2007). Explicit factorizations of cyclotomic and Dickson polynomials over finite fields. In Arithmetic of Finite Fields 2007, C. Carlet and B. Sunar (Eds.) (pp. 1-10). Lecture Notes in Computer Science 4547, Berlin: Springer.

III. Peer-Reviewed Articles in Conference Proceedings

Dai, X., Huang, Y., and Xiao, M. (2008). Topological formulation of discrete-time switched linear systems and almost sure stability. Proc. 47th IEEE Conference on Decision and Control, 965-970.

Respondek, W., and Tall, I. (2008). Feedback linearizability of strict feedforward systems. Proc. 47th IEEE Conference on Decision and Control, 2499-2504.

Tall, I. (2008). Linearizable feedforward systems: A special class. Proc. of IEEE Multi-Conference on Systems and Control, 1201-1206.

Tall, I., and Respondek, W. (2008). On linearizability of strict feedforward systems. American Control Conference, 1929-1934.


I. Peer-Reviewed Journal Articles

Arriojas, M., Hu, Y., Mohammed, S.-E., and Pap, G. (2007). A delayed Black and Scholes formula. Stoch. Anal. Appl. 25(2), 471-492.

Ban, D., and Jantzen, C. (2007). R-Groups and the action of intertwining operators in the nontempered case. Int. Math. Res. Not. 2007, Art.ID rnm059, 29 pp.

Baricz, A., and Neuman, E. (2007). Inequalities involving modified Bessel functions of the first kind. II. J. Math. Anal. Appl. 332(1), 265-271.

Bessaih, H., and Schurz, H. (2007). Upper bounds on the rate of convergence of truncated stochastic infinite-dimensional differential systems with H-regular noise. J. Comput. Appl. Math. 208(2), 354-361.

Bhattacharya, B. (2007). Testing for ordered failure rates under general progressive censoring. J. Statist. Plann. Inference 137(6), 1775-1786.

Budzban, G., and Feinsilver, P. (2007). Completely simple semigroups, Lie algebras, and the road coloring problem. Semigroup Forum 74(2), 206-226.

Burton, T.A. (2007). Integral equations, large forcing, strong resolvents. Carpathian J. Math. 23(1-2), 1-10.

Burton, T.A. (2007). Integral equations, large and small forcing functions: Periodicity. Math Comput. Modelling 45(11-12), 1363-1375.

Burton, T.A. (2007). Integral equations, Lp-forcing, remarkable resolvent: Liapunov functionals. Nonlinear Anal. 68, 35-46.

Burton, T.A., and Somolinos, A. (2007). The Lurie control satisfies a Lienard equation. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 14, 625-640.

Chan, W.K., Earnest, A.G., Icaza, M.I., and Kim, J.Y. (2007). Finiteness results for regular definite ternary quadratic forms over Q(sqrt(5)). Int. J. Number Theory 3(4), 541-556.

Coayla-Teran, E.A., Mohammed, S.-E.A., Ruffino, P., and Regis, C. (2007). Hartman-Grobman theorems along hyperbolic stationary trajectories. Discrete Contin. Dyn. Syst. 17(2), 281-292.

Clark, L.H., Mohr, A.T., and Porter, T.D. (2007). Some applications of spanning trees in Ks,t. J. Combin. Math. Combin. Comput. 62, 139-146.

Earnest, A.G., and Fitzgerald, R.W. (2007). Represented value sets for integral binary quadratic forms. Proc. Amer. Math. Soc. 135(12), 3765-3770.

Feinsilver, P., and Pap, G. (2007). Calculation of Fourier transforms of a Brownian motion on the Heisenberg group using splitting formulas. J. Funct. Anal. 249(1), 1-30.

Feinsilver, P., and Schott, R. (2007). Inversion of analytic functions via canonical polynomials: a matrix approach. Mathematics in Computer Science 1(2), 239-251.

Fitzgerald, R.W. (2007). Highly degenerate quadratic forms over F2. Finite Fields Appl. 13(4), 778-792.

Fitzgerald, R.W., and Yucas, J. (2007). Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields. Finite Fields Appl. 13(3), 492-515.

Feng, Z., Xu, D., and Zhao, H. (2007). Epidemiological models with non-exponentially distributed disease stages and applications to disease control. Bull. Math. Biol. 69(5), 1511-1536.

Ginzberg, D., and Hundley, J. (2007). On Spin L-functions for GSO10. J. Reine Angew. Math. 603, 183-213.

Gregory, J., and Hughes, H.R. (2007). The efficient solution of the (quietly constrained) noisy linear regulator problem. J. Math. Anal. Appl. 333(2), 823-838.

Gregory, J., and Hughes, H.R. (2007). New efficient numerical procedures for solving stochastic variational problems with a priori maximum pointwise error estimates. J. Math. Anal. Appl. 328(2), 1378-1395.

Hoffman, D., Johnson, P., Lin, K., McSorley, J.P., Petrie, C., and Teirlinck, L. (2007). There are no non-trivially uniformly (t,r)-regular graphs for t >2. Bull. Inst. Combin. Appl. 49, 11-14.

Hundley, J. (2007). Siegel zeros of Eisenstein series. Acta Arith. 126(4), 341-356.

Ibrahim, H., and Wallis, W.D. (2007). An enumeration of triad designs. J. Combin., Inf., Syst. Sci. 30, 5-17.

Kazi, H., and Neuman, E. (2007). Inequalities and bounds for elliptic integrals. J. Approx. Theory 146(2), 212-226.

Kirkland, S.J., Neumann, M., and Xu, J. (2007). Transition matrices for well-conditioned Markov chains. Linear Algebra Appl. 424(1), 118-131.

Kocik, J. (2007). Harmonic evolutions on graphs. Int. J. Math. Comput. Sci. 2(1), 65-82.

Kocik, J. (2007). Clifford algebras and Euclid’s parametrization of Pythagorean triples. Adv. Appl. Clifford Algebr. 17(1), 71-93.

Kraetzl, M., and Wallis, W.D. (2007). Enterprise graphs and small worlds. J. Interdisciplinary Math. 10, 349-362.

Kravaris, C., Sotiropoulos, V., Georgiou, C., Kazantzis, N., Xiao, M., and Krener, A.J. (2007). Nonlinear observer design for state and disturbance estimation. Systems Control Lett. 56(11-12), 730-735.

McSorley, J.P., Marr, A., Porter, T.D., and Wallis, W.D. (2007). Closed-neighborhood anti-Sperner graphs. Australas. J. Combin. 38, 63-76.

McSorley, J.P., and Phillips, N.C. (2007). Complete enumeration and properties of binary pseudo-Youden designs PYD(9,6,6). J. Statist. Plann. Inference 137(4), 1464-1473.

McSorley, J.P., and Soicher, L.H. (2007). Constructing t-designs from t-wise balanced designs. European J. Combin. 28(2), 567-571.

Mohammed, S.-E.A., and Zhang, T.S. (2007). The substitution theorem for semilinear stochastic partial differential equations. J. Funct. Anal. 253(1), 122-157.

Moro, E., and Schurz, H. (2007). Boundary preserving semi-analytical numerical algorithms for stochastic differential equations. SIAM J. Sci. Comput. 29(4), 1525-1549.

Neuman, E. (2007). Product formulas involving Gauss hypergeometric functions. Aust. J. Math. Anal. Appl. 4(1), Art. 14, 9 pp.

Neuman, E. (2007). On Gauss lemniscate functions and lemniscate mean. Math. Pannon. 18(1), 77-94.

Neuman, E. (2007). Inequalities involving inverse circular and inverse hyperbolic functions. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 18, 32-37.

Ng, H.K.T., Balakrishnan, N., and Panchapakesan, S. (2007). Selecting the best population using a test for equality based on minimal Wilcoxin rank-sum precedence statistic. Methodology and Computation in Applied Probability 9, 263-305.

Ng, H.K.T., and Panchapakesan, S. (2007). Is the selected multinomial cell the best? Sequential Anal. 26, 415-423.

Olive, D.J. (2007). Prediction intervals for regression models. Comp. Statist. Data Anal. 51, 3115-3122.

Olive, D.J., and Hawkins, D.M. (2007). Behavior of elemental sets in regression. Statist. Probab. Lett. 77(6), 621-624.

Porter, T.D. (2007). Binomial identities generated by counting spanning trees. Ars Combin. 82, 159-163.

Schurz, H. (2007). Applications of numerical methods and its analysis for systems of stochastic differential equations. Bull. Kerala Math. Assoc. 4(1), 1-85.

Schurz, H. (2007). Existence and uniqueness of solutions of semilinear stochastic infinite-dimensional differential systems with H-regular noise. J. Math. Anal. Appl. 332(1), 334-345.

Schurz, H. (2007). Modeling, analysis and discretization of stochastic logistic equations. Int. J. Numer. Anal. Model. 4(2), 178-197.

Schurz, H. (2007). A numerical method for nonlinear stochastic wave equations in R1. Dyn. Contin. Discrete Impuls. Syst. Ser. A 14(2), 74-78.

Schurz, H. (2007). Nonlinear stochastic wave equations in R1 with power-law nonlinearity and additive space-time noise. Contemp. Math. 440, 223-242.

Zhang, P., Sandland, G., Feng, Z., Xu, D. and Minchella, D. (2007). Evolutionary implications for interactions between multiple strains of host and parasite. J. Theoretical Biology 248, 225-240.

II. Peer-Reviewed Book Chapters

Fitzgerald, R.W., and Yucas, J. (2007). Explicit factorizations of cyclotomic and Dickson polynomials over finite fields. In Arithmetic of Finite Fields 2007, C. Carlet and B. Sunar (Eds.) (pp. 1-10). Lecture Notes in Computer Science 4547, Berlin: Springer.

III. Peer-Reviewed Articles in Conference Proceedings

Xiao, M. (2007). Observer construction for nonlinear discrete-time system with inputs. Proc. of the 6th IEEE International Conference on Control and Automation, 428-431.

Xiao, M., N. Kazantzis, and Kravaris, C. (2007). A new nonlinear discrete-time observer design method with linearizable error dynamics. Proc. of European Control Conference, 1174-1178.