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Faculty Research Publications

Following is a list of some recent publications by College of Charleston mathematics professors as provided by MathSciNet, the electronic version of the Mathematical Reviews.

See also an introduction to mathematical research and a partial list of the research interests of members of this department.

Many professors distribute copies of their research papers from their homepages. Look at the faculty list for links to professors' home pages.

Ben L. Cox Thomas J. Enright	Representations of quantum groups defined over commutative rings. II. J. Pure Appl. Algebra 214 (2010), no. 7,1017-1048.
Paul Thomas Young	A p-adic formula for the Nörlund numbers and for Bernoulli numbers of the second kind. Congr. Numer. 201 (2010), 77-87.
Lan Wang Bo Kai Runze Li	Local rank inference for varying coefficient models. J. Amer. Statist. Assoc. 104 (2009), no. 488, 1631-1645.
Jiexiang Li	Kernel estimators for distribution functions on dependent random fields. Comm. Statist. Theory Methods 38 (2009), no. 18-20, 3678-3685.
Thomas A. Ivey Patrick J. Ryan	The structure Jacobi operator for real hypersurfaces in $C\Bbb P^2 and C{H}^2$. Results Math. 56 (2009), no. 1-4,473-488.
Josef F. Dorfmeister Thomas Ivey Ivan Sterling	Symmetric pseudospherical surfaces. I. General theory.Results Math. 56 (2009), no. 1-4, 3-21.
H. Silverman Thomas Rosy S. Kavitha	On certain sufficient condition involving Gaussian hypergeometric functions. Int. J. Math. Math. Sci. 2009, Art. ID 989603, 15 pp.
Hau Chan Dinesh G. Sarvate	Sets of MOLSs generated from a single Latin square.Proceedings of the Fortieth Southeastern International Conference on Combinatorics, Graph Theory and Computing.Congr. Numer. 195 (2009), 115-123.
Jin-Hong Park T. N. Sriram Xiangrong Yin	Central mean subspace in time series. J. Comput. Graph. Statist. 18 (2009), no. 3, 717-730.
André Bueno Ben Cox Vyacheslav Futorny	Free field realizations of the elliptic affine Lie algebra{sl}(2,R)\oplus(Ω_R/d{R}). J. Geom. Phys. 59 (2009), no. 9,1258-1270.
Spencer P. Hurd Nutan Mishra Dinesh G. Sarvate	Group divisible designs with two groups and block size five with fixed block configuration. J. Combin. Math. Combin. Comput. 70 (2009), 15-31.
Herb Silverman GangadharanMurugusundaramoorhty Kaliappan Vijaya	A class of starlike functions defined by the Dziok-Srivastava operator. Kyungpook Math. J. 49 (2009), no. 1, 95-106.
Marcy Barge Beverly Diamond Richard Swanson	The branch locus for one-dimensional Pisot tiling spaces.Fund. Math. 204 (2009), no. 3, 215-240.
Annalisa Calini Thomas Ivey Gloria Marí-Beffa	Remarks on KdV-type flows on star-shaped curves. Phys. D238 (2009), no. 8, 788-797.
Thomas A. Ivey Patrick J. Ryan	Hopf hypersurfaces of small Hopf principal curvature inCH^2. Geom. Dedicata 141 (2009), 147-161.
M. K. Aouf H. Silverman	Classes of uniformly convex functions with two fixed points.Panamer. Math. J. 19 (2009), no. 2, 1-15.
Jeanne N. Clelland Thomas A. Ivey	Bäcklund transformations and Darboux integrability for nonlinear wave equations. Asian J. Math. 13 (2009), no. 1, 15-64.
Maarten Bergvelt Michael Gekhtman Alex Kasman	Spin Calogero particles and bispectral solutions of the matrix KP hierarchy. Math. Phys. Anal. Geom. 12 (2009), no. 2, 181-200.
N. Joshi S. Lafortune A. Ramani	Hirota bilinear formalism and ultra-discrete singularity analysis. Nonlinearity 22 (2009), no. 4, 871-887.
Jiexiang Li Lanh Tat Tran	Nonparametric estimation of conditional expectation. J. Statist. Plann. Inference 139 (2009), no. 2, 164-175.
Kyle Keepers Paul Thomas Young	On higher order Lucas-Bernoulli numbers. Fibonacci Quart.46/47 (2008/09), no. 1, 26-31.
H. Silverman K. Suchithra B. Adolf Stephen A. Gangadharan	Coefficient bounds for certain classes of meromorphic functions. J. Inequal. Appl. 2008, Art. ID 931981, 9 pp.
K. T.-R. McLaughlin A. H. Vartanian X. Zhou	Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I. Math. Phys. Anal. Geom. 11 (2008), no. 3-4, 187-364.
Paul Thomas Young	A 2-adic formula for Bernoulli numbers of the second kind and for the Nörlund numbers. J. Number Theory 128 (2008),no. 11, 2951-2962.
Renling Jin	Introduction of nonstandard methods for number theorists.Integers 8 (2008), no. 2, A7, 30 pp.
T. Ivey S. Lafortune	Spectral stability analysis for periodic traveling wave solutions of NLS and CGL perturbations. Phys. D 237 (2008),no. 13, 1750-1772.
Harris Kwong Sin-Min Lee Dinesh G. Sarvate	On balance index sets of one-point unions of graphs. J. Combin. Math. Combin. Comput. 66 (2008), 113-127.
Nutan Mishra Dinesh G. Sarvate	A note on non-regular planar graphs. J. Combin. Math. Combin. Comput. 66 (2008), 17-31.
M. K. Aouf H. Silverman	Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients.Demonstratio Math. 41 (2008), no. 2, 381-388.
S. P. Goyal Pranay Goswami H. Silverman	Subordination and superordination results for a class of analytic multivalent functions. Int. J. Math. Math. Sci. 2008, Art. ID 561638, 12 pp.
Spencer P. Hurd Dinesh G. Sarvate	Group divisible designs with block size four and two groups.Discrete Math. 308 (2008), no. 13, 2663-2673.
Spencer P. Hurd Dinesh G. Sarvate	On c-Bhaskar Rao designs and tight embeddings for path designs. Discrete Math. 308 (2008), no. 13, 2659-2662.
Jiexiang Li	Asymptotic distribution of local medians. J. Nonparametr. Stat.20 (2008), no. 2, 175-185.
Paul Thomas Young	Degenerate Bernoulli polynomials, generalized factorial sums, and their applications. J. Number Theory 128 (2008),no. 4, 738-758.
Martin L. Jones Reginald Koo	On the worth of perfect information in bandits with random discounting. Sequential Anal. 27 (2008), no. 1, 58-67.
Marcy Barge Beverly Diamond	Cohomology in one-dimensional substitution tiling spaces.Proc. Amer. Math. Soc. 136 (2008), no. 6, 2183-2191.
Brenton LeMesurier	Modeling thermal effects on nonlinear wave motion in biopolymers by a stochastic discrete nonlinear Schrödinger equation with phase damping. Discrete Contin. Dyn. Syst. Ser. S 1 (2008), no. 2, 317-327.
M. K. Aouf H. Silverman H. M. Srivastava	Some families of linear operators associated with certain subclasses of multivalent functions. Comput. Math. Appl. 55(2008), no. 3, 535-549.
Ben Cox	Realizations of the four point affine Lie algebra{sl}(2,R)\oplus(Ω_R/dR). Pacific J. Math. 234 (2008), no. 2, 261-289.
K. T.-R. McLaughlin A. H. Vartanian X. Zhou	Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights. Acta Appl. Math. 100 (2008), no. 1, 39-104.
Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni	The Ricci flow: techniques and applications. Part II. Analytic aspects. Mathematical Surveys and Monographs, 144. American Mathematical Society, Providence, RI, 2008. xxvi+458 pp. ISBN: 978-0-8218-4429-8
Alex Kasman Kathryn Pedings Amy Reiszl Takahiro Shiota	Universality of rank 6 Plücker relations and Grassmann cone preserving maps. Proc. Amer. Math. Soc. 136 (2008), no. 1, 77-87 .
K. T.-R. McLaughlin A. H. Vartanian X. Zhou	Asymptotics of Laurent polynomials of odd degree orthogonal with respect to varying exponential weights.Constr. Approx. 27 (2008), no. 2, 149-202.
Michael W. Berry Murray Browne Amy N. Langville V. Paul Pauca Robert J. Plemmons	Algorithms and applications for approximate nonnegative matrix factorization. Comput. Statist. Data Anal. 52 (2007), no. 1, 155-173.
Narong Punnim Dinesh G. Sarvate	A construction for group divisible designs with two groups.Proceedings of the Thirty-Eighth Southeastern International Conference on Combinatorics, Graph Theory and Computing.Congr. Numer. 185 (2007), 57-60.
A. Calini T. Ivey	Finite-gap solutions of the vortex filament equation: isoperiodic deformations. J. Nonlinear Sci. 17 (2007), no. 6,527-567.
James E. Carter Bouchaïb Sodaïgui	*Classes de Steinitz d'extensions quaternioniennes généralisées de degré 4p^r.* (French) [Steinitz classes of generalized quaternionic extensions of degree 4p^r] J. Lond. Math. Soc. (2) 76 (2007), no. 2, 331-344.
Annalisa Calini Joel Langer	Schwarz reflection geometry. II. Local and global behavior of the exponential map. Experiment. Math. 16 (2007), no. 3, 321-346.
Renling Jin	Freiman's inverse problem with small doubling property. Adv. Math. 216 (2007), no. 2, 711-752.
Renling Jin	Inverse problem for cuts. Log. Anal. 1 (2007), no. 1, 61-89.
Sue Goodman Sandi Shields	Modifying a branched surface to carry a foliation. Topology Appl. 154 (2007), no. 16, 2962-2975.
Renling Jin	Nonstandard methods for additive and combinatorial number theory. A survey. The strength of nonstandard analysis, 119-132, SpringerWienNewYork, Vienna, 2007.
Dinesh G. Sarvate William Beam	*The non-existence of (n-2)-{SB}(n,n-1)* adesigns and some existence results.** Bull. Inst. Combin. Appl. 51 (2007), 73-79.
Spencer P. Hurd Nutan Mishra Dinesh G. Sarvate	A new construction for group divisible designs with block size five and few groups. Ars Combin. 84 (2007), 243-245.
W. Garrett Mitchener	Game dynamics with learning and evolution of universal grammar. Bull. Math. Biol. 69 (2007), no. 3, 1093-1118.
Brett A. Tangedal	Continued fractions, special values of the double sine function, and Stark units over real quadratic fields. J. Number Theory 124 (2007), no. 2, 291-313.
Dinesh G. Sarvate William Beam	A new type of block design. Bull. Inst. Combin. Appl. 50 (2007),26-28.
D. Henson D. G. Sarvate S. P. Hurd	Group divisible designs with three groups and block size four.Discrete Math. 307 (2007), no. 14, 1693-1706.
M. K. Aouf H. Silverman H. M. Srivastava	Some subclasses of multivalent functions involving a certain linear operator. Adv. Stud. Contemp. Math. (Kyungshang) 14(2007), no. 2, 215-232.
Marcy Barge Beverly Diamond	Proximality in Pisot tiling spaces. Fund. Math. 194 (2007), no. 3, 191-238.
Brenton LeMesurier Barron Whitehead	Wave energy self-trapping by self-focusing in large molecular structures: a damped stochastic discrete nonlinear Schrödinger equation model. Phys. D 225 (2007), no. 1, 1-12.
Michael Gekhtman Alex Kasman	Tau-functions, Grassmannians and rank one conditions. J. Comput. Appl. Math. 202 (2007), no. 1, 80-87.
Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni	The Ricci flow: techniques and applications. Part I. Geometric aspects. Mathematical Surveys and Monographs, 135. American Mathematical Society, Providence, RI, 2007. xxiv+536 pp. ISBN: 978-0-8218-3946-1; 0-8218-3946-2
James E. Carter	Some remarks on Hilbert-Speiser and Leopoldt fields of given type. Colloq. Math. 108 (2007), no. 2, 217-223.
Jay M. Jahangiri Herb Silverman Evelyn M. Silvia	Construction of planar harmonic functions. Int. J. Math. Math. Sci. 2007, Art. ID 70192, 11 pp.
M. K. Aouf H. Silverman	Subclasses of p-valent and prestarlike functions. Int. J. Contemp. Math. Sci. 2 (2007), no. 5-8, 357-372.
C. Ramachandran S. Sivasubramanian H. Silverman	Certain coefficient bounds for p-valent functions. Int. J. Math. Math. Sci. 2007, Art. ID 46576, 11 pp.
Spencer P. Hurd Dinesh G. Sarvate	An edge-coloring problem for designs. Bull. Inst. Combin. Appl.49 (2007), 15-20.
Paul Thomas Young	On Lucas-Bernoulli numbers. Fibonacci Quart. 44 (2006), no. 4, 347-357.
M. A. Francel S. P. Hurd G. L. Rudolph D. G. Sarvate	The anatomy of a design. Proceedings of the Thirty-Seventh Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 181 (2006), 77-88.
Sanjeeva Balasuriya Georg Gottwald John Hornibrook Stéphane Lafortune	High Lewis number combustion wavefronts: a perturbative Melnikov analysis. SIAM J. Appl. Math. 67 (2006/07), no. 2,464-486 .
Prerna Bihani Renling Jin	Kneser's theorem for upper Banach density. J. Théor. Nombres Bordeaux 18 (2006), no. 2, 323-343.
M. K. Aouf H. Silverman	Partial sums of certain meromorphic p-valent functions.JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 4, Article 119, 7 pp. .
Ben L. Cox Vyacheslav Futorny	Structure of intermediate Wakimoto modules. J. Algebra 306(2006), no. 2, 682-702.
T. N. Shanmugam S. Sivasubramanian H. Silverman	On sandwich theorems for some classes of analytic functions. Int. J. Math. Math. Sci. 2006, Art. ID 29684, 13 pp.
Sandra Shields	Classifying foliations of 3-manifolds via branched surfaces.Topology Appl. 153 (2006), no. 18, 3496-3510.
Alex Kasman Stéphane Lafortune	When is negativity not a problem for the ultradiscrete limit? J. Math. Phys. 47 (2006), no. 10, 103510, 16 pp.
Amy N. Langville Carl D. Meyer	Google's PageRank and beyond: the science of search engine rankings. Princeton University Press, Princeton, NJ,2006. x+224 pp. ISBN: 978-0-691-12202-1; 0-691-12202-4
S. Ponnusamy Herb Silverman	Complex variables with applications. Birkhäuser Boston, Inc., Boston, MA, 2006. xiv+513 pp. ISBN: 978-0-8176-4457-4; 0-8176-4457-1
Renling Jin	Solution to the inverse problem for upper asymptotic density.J. Reine Angew. Math. 595 (2006), 121-165.
Spencer P. Hurd Dinesh G. Sarvate	Pair-resolvability and tight embeddings for path designs. J. Combin. Math. Combin. Comput. 58 (2006), 113-127.
Sandra Shields	The simplest branched surfaces for a foliation. Pacific J. Math.225 (2006), no. 1, 177-198.
N. Joshi S. Lafortune	Integrable ultra-discrete equations and singularity analysis.Nonlinearity 19 (2006), no. 6, 1295-1312.
Thomas A. Ivey	Geometry and topology of finite-gap vortex filaments.Geometry, integrability and quantization, 187-202, Softex, Sofia,2006.
V. Ravichandran M. Hussain Khan H. Silverman K. G. Subramanian	Radius problems for a class of analytic functions.Demonstratio Math. 39 (2006), no. 1, 67-74.
N. Benes A. Kasman K. Young	On decompositions of the KdV 2-soliton. J. Nonlinear Sci. 16(2006), no. 2, 179-200.
Amy N. Langville Carl D. Meyer	A reordering for the PageRank problem. SIAM J. Sci. Comput.27 (2006), no. 6, 2112-2120 .
Renling Jin	Inverse problem for upper asymptotic density. II. Nonstandard methods and applications in mathematics, 147-173, Lect. Notes Log., 25, Assoc. Symbol. Logic, La Jolla, CA, 2006.
Stéphane Lafortune Alain Goriely Michael Tabor	The dynamics of stretchable rods in the inertial case.Nonlinear Dynam. 43 (2006), no. 1-2, 173-195.
Amy N. Langville Carl D. Meyer	Updating Markov chains with an eye on Google's PageRank.SIAM J. Matrix Anal. Appl. 27 (2006), no. 4, 968-987 .
Devin Henson Dinesh G. Sarvate	*A family of group divisible designs of block size four and three groups with λ_1=2* and λ_2=1 using MOLS.** Ars Combin.78 (2006), 123-125.
Michael Gekhtman Alex Kasman	On KP generators and the geometry of the HBDE. J. Geom. Phys. 56 (2006), no. 2, 282-309.
Narong Punnim Dinesh G. Sarvate	*A 3\text{-}(v,4,1)* packing construction.** East-West J. Math. 7(2005), no. 2, 199-202.
M. Agrotis S. Lafortune P. G. Kevrekidis	On a discrete version of the Korteweg-de Vries equation.Discrete Contin. Dyn. Syst. 2005, suppl., 22-29.
S. Lafortune J. Lega	Spectral stability of local deformations of an elastic rod: Hamiltonian formalism. SIAM J. Math. Anal. 36 (2005), no. 6,1726-1741 .
Herb Silverman Evelyn M. Silvia	Convolution inverses. Complex analysis and dynamical systems II, 395-400, Contemp. Math., 382, Amer. Math. Soc., Providence, RI, 2005.
A. Calini T. Ivey	Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions. J. Nonlinear Sci. 15(2005), no. 5, 321-361.
James E. Young	Binary sequential representations of random partitions.Bernoulli 11 (2005), no. 5, 847-861.