Student Publications

Below is a list of preprints and publications authored or co-authored by students in Mathematics & Statistics at McMaster University. Students' names are in boldface, and included are papers by graduate students in Mathematics, Statistics, and Computation Sciences and Engineering, along with papers by undergraduate students. This list serves to demonstrate the department's commitment to student centered research opportunities in mathematics, statistics, and computational science.


D. Ayala and B. Protas, Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows, J. Fluid Mech. 818 (2017), 772--806.

H.U. Boden, R. Gaudreau, E. Harper, A. J. Nicas, and L. WhiteVirtual knot groups and almost classical knots, Fund. Math. 138 (2017),  101--142 

H.U. Boden, A. J. Nicas, and L. WhiteAlexander invariants of periodic virtual knots, ArXiv math.GT/1706.02671    

H.U. Boden, M. Chrisman, and R. GaudreauVirtual knot cobordism and bounding the slice genus, ArXiv math.GT/1708.05982

H.U. Boden, M. Chrisman, and R. Gaudreau,  Signature and concordance of virtual knotsArXiv math.GT/1708.08090

A.S.M. Cheam,  M. Marbac, and P.D. McNicholas, Model-based clustering for spatio-temporal data on air quality monitoring, Environmetrics 28(3), e2437

S. Feng, F. Gao and Y. Zhou (2017). Limit theorems associated with the Pitman-Yor process. To appear in Advances in Applied Probability

M.P.B. Gallaugher and P.D. McNicholas,  A matrix variate skew-t distribution, Stat 6(1), 160--170

A. Ghasemi and NK-R. Kevlahan, The role of Reynolds number in the fluid-elastic instability of tube arrays, to appear in J Fluids Struct (2017)

M.R. Grasselli and A. Maheshwari, A comment on `Testing Goodwin: growth cycles in ten OECD countries', to appear in Camb. J. Econ., (DOI:

M. Li and B.M. Bolker, Incorporating periodic variability in hidden Markov models for animal movement. Movement Ecology, 5(1) (2017). doi:10.1186/s40462-016-0093-6

A. Khan and D. Pelinovsky, Long-time stability of small FPU solitary waves,  Discrete Continuous Dynamical Systems Series A 37, 2065-2075

M. Metel, T. A. Pirvu, and J. Wong, Risk Management under Omega Measure, 2017, Risks, 5(2), 1--14

P.M. Murray,  R.P. Browne, and P.D. McNicholas, Hidden truncation hyperbolic distributions, nite mixtures thereof, and their application for clustering, to appear in J. Mult. Anal.

P.M. Murray,  R.P. Browne, and P.D. McNicholas, A mixture of SDB skew-t factor analyzers, Econom. Stat. 3 (2017), 160--168

S.W. Park and B.M. Bolker,  Effects of contact structure on the transient evolution of HIV virulence. PLOS Comp. Biol., 13(3):e1005453. ISSN 1553-7358. doi:10.1371/journal.pcbi.1005453

Y. Tang, R.P. Browne, and P.D. McNicholas, Model-based clustering of high-dimensional binary data, Comp.l Stat. Data Anal. 87, 84--101

M.H.T. Wong, D.M. Mutch, and P.D. McNicholas, Two-way learning with one-way supervision for gene expression data, BMC Bioinf. 18:150

Y. Zhou, Small-time sampling behavior of a Fleming-Viot process. Sci. China Math. 60no. 3 (2017), 529--550


H. Abe, L. DeDieu, F. Galetto, M. Harada, Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies, ArXiv 1612.08831

N. Anvari
and I. Hambleton, Cyclic group actions on contractible 4-manifolds. Geom. Topol.  20,  no. 2 (2016), 1127--1155
N. Anvari, Extending smooth cyclic group actions on the Poincare homology sphere. Pacific J. Math. 282, no. 1 (2016), 9--25

J. Baker, K. N. Vander Meulen, A. Van Tuyl,  Shedding vertices of vertex decomposable graphs.  Preprint,  arXiv:1606.04447

M. Campanella, S. Conley, and M. Valeriote, Preserving near unanimity terms under products, Alg. Univer.,  76 (2016), 293--300

A.S.M. Cheam and P.D. McNicholas,  Modelling receiver operating characteristic curves using Gaussian mixtures, Comp. Stat. Data Anal. 93, 192--206

A. Chernyavsky and D.E. Pelinovsky,  Long-time stability of breathers in Hamiltonian PT-symmetric lattices,  J. Phys. A: Math. Theor. 49, 475201 (20pp)

A. Contreras, D.E. Pelinovsky, and Y. Shimabukuro, L2 orbital stability of Dirac solitons in the massive Thirring model,  Communications in PDEs 41, 227-255

B. Franke, J.-F. Plante, R. Roscher, A. Lee, C. Smyth, A. Hatefi, F. Chen, E. Gil, A. Schwing, A. Selvitella, M. Hoffman, R. Grosse, D. Hendricks, N. Reid, Statistical Inference, Learning and Models in Big Data, to appear in Intern. Stat. Rev.

A. Gaudreau, Unexpected ramifications of knot theory. Asia Pac. Math. Newsl. 6no. 1 (2016), 7--21

C.S. Henry, The (nested) word problem. Inform. Process. Lett. 116, no. 11 (2016), 729--734

J. Hong, Separably closed valued fields: immediate expansions. Israel J. Math. 216, no. 2 (2016), 811--831

S. Melkoumian and B. Protas, Drift Due to Two Obstacles in Different Arrangements, Theor. Comp. Fluid Dyn. 30 (2016), 529--542

D. Pelinovsky and Y. Shimabukuro Transverse instability of line solitary waves in massive Dirac equations,  J. Nonlin. Science 26, 365--403

F. Pourbabaee, M. Kwak and T. A. Pirvu, Risk minimization and portfolio diversification, 2016, Quantitative Finance, 9(1), 1325--1332

A. SelvitellaThe Dual Approach to Stationary and Evolution Quasilinear PDEs, NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 2, 23:4

P. Sinclair, Computable axiomatizability of elementary classes. MLQ Math. Log. Q. 62, no. 1-2 (2016), 46--51


M. Aechtner, T. Dubos, and NK-R. Kevlahan, A conservative adaptive wavelet method for the shallow water equations on the sphere. Q J R Meteorol Soc. 141(690): 1712--1726

G. Adalsteinsson and NK-R. Kevlahan,  Compressive sampling for energy spectrum estimation of turbulent flows. SIAM J Sci Comput. 37(3): B452--B472. 

N. Balakrishnan, M. H. Ling, and H. Y. So, EM Algorithm for One-Shot Device Testing With Competing Risks Under Weibull Distribution, IEEE Transactions on Reliability,  to appear (2015), DOI: 10.1109/TR.2015. 2500361

N. Balakrishnan, M. H. Ling, and H. Y. So, A Bayesian Approach for One-Shot Device Testing With Exponential Lifetimes Under Competing Risks, IEEE Transactions on Reliability,  to appear (2015),  DOI: 10.1109/TR.2015.2440235

N. Balakrishnan, M. H. Ling, and H. Y. So, Likelihood Inference Under Proportional Hazards Model for One-Shot Device Testing, IEEE Transactions on Reliability,  to appear (2015),   DOI: 10.1109/TR.2015.2440251

N. Balakrishnan, X. Zhu, and B. Al-Zahrani, A recursive algorithm for the single and product moments of order statistics from the exponential-geometric distribution and some estimation methods, Comm. Statist. Theory Methods 44 (2015), no. 17, 3576--3598

N. Balakrishnan and X. ZhuInference for the bivariate Birnbaum-Saunders lifetime regression model and associated inference, Metrika 78 (2015), no. 7, 853--872

N. Balakrishnan and X. Zhu, Inference for the Birnbaum-Saunders lifetime regression model with applications, Comm. Statist. Simulation Comput. 44 (2015), no. 8, 2073--2100

N. Balakrishnan, X. Zhu, and B. Al-Zahrani, Recursive computation of the single and product moments of order statistics from the complementary exponential-geometric distribution, J. Stat. Comput. Simul. 85 (2015), no. 11, 2187--2201

N. Balakrishnan and X. ZhuBirnbaum-Saunders distribution based on Laplace kernel and some properties and inferential issues, Statist. Probab. Lett. 101 (2015), 1--10

M. Birch and B.M. Bolker, Evolutionary stability of minimal mutation rates in an evo-epidemiological model. Bull. Math. Biol., 77:1985-2003. doi:10.1007/s11538-015-0112-6.

H.U. Boden and A. I. GaudreauBridge numbers for virtual and welded knots, J. Knot Theory Ramific. 24 (2015), no. 2, 1550008, 15 pp

H.U. Boden,  E. DiesA. I. GaudreauA. Gerlings, E. Harper, A. J. Nicas, Alexander invariants for virtual knots, J. Knot Theory Ramific. 24 (2015), no. 3, 1550009, 62 pp

S. Feng and Y. Zhou (2015). Asymptotic behavior of Poisson-Dirichlet Distribution and random energy model. In XI Symposium on Probability and Stochastic Processes141-155. Progress in Probability, Vol. 69, Birkhäuser. 

X. Fu and J.-P.  Gabardo, Self-affine scaling sets in R^2, Mem. Amer. Math. Soc. 233 (2015), no. 1097, vi+85 pp. ISBN: 978-1-4704-1091-9

J. Gustafsson and B. Protas, Computation of Steady Incompressible Flows in Unbounded Domains, Computers and Fluids 112 (2015), 94--107

M.H. Ling, K.L. Tsui, and N. Balakrishnan, Accelerated degradation analysis for the quality of a system based on the gamma process, IEEE Transac. onReliab., 64 (2014), no 1 463--472

D.E. Pelinovsky and C. Xu, On numerical modelling and the blow-up behavior of contact lines with a 180-degree contact angle,  J. Eng. Math. 92, 31--44 (2015)

A. Selvitella, Nondegeneracy of the ground state for quasilinear Schrodinger equations, Calculus of Variations and PDEs, 53 (2015), Issue 1-2, 349--364

A. Selvitella, Remarks on the sharp constant for the Schrodinger Strichartz estimate and applications, Electron. J. Diff. Equ., Vol. 2015, No. 270, 1--19

A. K. Sethurajan, S. Krachkovskiy, I. C. Halalay, G. R. Goward and B. Protas, Accurate Characterization of Ion Transport Properties in Binary Symmetric Electrolytes Using In-Situ NMR Imaging and Inverse Modeling, J. Phys. Chem - B 119, 12238-12248

Y. Wei and P.D. McNicholas, Mixture model averaging for clustering, Adv. Data Anal. Classif. 9(2) (2015), 197--217. 

Y. Zhoum Ergodic inequality of a two-parameter infinitely-many-alleles diffusion model, J. Appl. Prob. 52, no.1 (2015), 238--246.


B. Abbasi and W. Craig, On the initial value problem for the wave equation in Friedmann - Robertson - Walker space-times, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 470 (2014), no. 2169, 20140361, 13 pp

S. Alama and Q. Gao, Stability of Symmetric vortices for two-component Ginzburg-Landau systems,  J. Funct. Anal. 267 (2014), no. 6, 1751--1777 

D. Ayala and B. Protas, Maximum Palinstrophy Growth in 2D Incompressible Flows, Journal of Fluid Mechanics 742 (2014), 340--367

D. Ayala and B. Protas, Vortices, Maximum Growth and the Problem of Finite-Time Singularity Formation, Fluid Dynamics Research (Special Issue for IUTAM Symposium on Vortex Dynamics) 46, 031404 (2014)

N. Balakrishnan and M.H. LingBest constant-stress accelerated life-test plans with multiple stress factors for one-shot device testing under a Weibull distribution, IEEE Transactions on Reliability, 63 (2014), no 4, 944--952

N. Balakrishnan and M.H. LingGamma lifetimes and one-shot device testing analysis, Reliability Engineering and System Safety, 126 (2014), 54--64

N. Balakrishnan and W. VoltermanOn the signatures of ordered system lifetimes, Journal of Applied Probability 51 (2014), 82--91

N. Balakrishnan and X. Zhu, An improved method of estimation for the parameters of the Birnbaum-Saunders distribution, J. Stat. Comput. Simul. 84 (2014), no. 10, 2285--2294

N. Balakrishnan and X. Zhu, On the existence and uniqueness of the maximum likelihood estimates of the parameters of Birnbaum-Saunders distribution based on Type-I, Type-II and hybrid censored samples, Statistics 48 (2014), no. 5, 1013--1032

K. Carlson, E. Cheung, I Farah, A. Gerhardt-Bourke, B. Hart, L. Mezuman, N. Sequeira, and A. Sherman, Omitting types and AF algebras, Arch. Math. Logic 53 (2014), no. 1-2, 157--169

B. Costa Lima, M.R. Grasselli, X.-S. Wang, J. Wu, Destabilizing a stable crisis: employment persistence and government intervention in macroeconomics, Structural Change and Economic Dynamics 30 (2014), 30--51

E. Dies and A. J. Nicas, The center of the virtual braid group is trivial, J. Knot Theory Ramific. 23 (2014), no. 8, 1450002, 6 pp

G. Dragomir
Closed geodesics on orbifolds of nonpositive and nonnegative curvature, Geom. Dedicata, 172 (2014), 399--411.

S.Feng and F. Xu (2014). Gamma-Dirichlet algebra and applicationsFrontiers of Mathematics in China, 9(4):797--812.

X. Fu and J.-P.  Gabardo, Measure of self-affine sets and associated densities. (English summary)Constr. Approx. 40 (2014), no. 3, 425--446

X. Fu and J.-P.  Gabardo, Construction of wavelet sets using integral self-affine multi-tiles, J. Fourier Anal. Appl. 20 (2014), no. 2, 234--257.

P. S.N. Gambrah and T.A. Pirvu, Risk Measures and Portfolio Optimization, 2014, J. Risk Fin. Man., 7 (2014), 113--129.

A. Gully, H. Liu, S. Srinivasan, A.K. Sethurajan, S. Schougaard, and B. Protas, Effective Transport Properties of Porous Electrochemical Materials - A Homogenization Approach, Journal of The Electrochemical Society, 2014, 161(8): E3066--E3077

J. Hong, Definable non-divisible Henselian valuations, Bull. Lond. Math. Soc. 46 (2014), 14--18

S. Melkoumian and B. Protas, Wake Effects on Drift in Two-Dimensional Inviscid Incompressible Flows, Physics of Fluids 26, 123601, 2014.

P.M. Murray, P.D. McNicholas, and R.P. Browne, Mixtures of skew-t factor analyzers, Computational Statistics and Data Analysis 77 (2014), 326--335.
P.M. Murray, P.D. McNicholas, and R.P. Browne,  Mixtures of common skew-t factor analyzers, Stat 3(1) (2014), 68--82.
S. Pamuk and E. Yalcin, Relative group cohomology and the orbit category. Comm. Alg. 42 (2014), no.7, 3220--3243

D. E. Pelinovsky and D.V. Ponomarev,  Justification of a nonlinear Schrodinger model for laser beams in photopolymers,  Z. Angew. Math. Phys. 65 (2014), 405--433

D. E. Pelinovsky and Y. Shimabukuro, Orbital stability of Dirac solitons, Letters in Mathematical Physics 104 (2014), 21--41 

W. Volterman, N. Balakrishnan, and E. Cramer, Exact meta-analysis of several independent progressively type-II censored data, Appl. Math. Model 38 (2014), 949--960

Y. ZhouAsymptotic behaviour of an infinitely-many-alleles diffusion with symmetric overdominance, Stochastic Process. Appl. 124 (2014), no. 8, 2771--2798


S. Alama and Q. GaoSymmetric vortices for two-component Ginzburg-Landau systems, J. Differential Equations 255 (2013), no. 10, 3564--3591

N. Balakrishnan and S. PalExpectation maximization-based liklihood inference for flexible cutre rate models with Weibull lifetimes, Stat. Meth.  Med. Res. (2013), 1--29

N. Balakrishnan, W. Volterman, and L. ZhangA meta-analysis of multisample Type-II censored data with parametric and nonparametric results, IEEE Transactions on Reliability 62 (2013), 2--12

N. Balakrishnan and X. ZhuA simple and efficient method of estimation of the parameters of a bivariate Birnbaum-Saunders distribution based on type-II censored samples, Multivariate statistics, 34--47, World Sci. Publ., Hackensack, NJ, 2013

M. Betti and D. Pelinovsky, Periodic traveling waves in diatomic granular chains, J. Nonlinear Sci. 23 (2013),  689--730

V. Bukshtynov and B. Protas, Optimal reconstruction of material properties in complex multiphysics phenomena, J. Comput. Phys. 242 (2013), 889--914

D. Champredon, S. Bellan, and J. Dushoff, HIV Sexual Transmission Is Predominantly Driven by Single Individuals Rather than Discordant Couples: A Model-Based Approach, PLoS ONE 8(12): e82906 (2013). doi:10.1371/journal.pone.0082906

W. Craig, A. Selvitella, and Y. Wang, Birkhoff normal form for the nonlinear Schrodinger equation, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 24 (2013), no. 2, 215--228

C.H. Daly, X. Liu, V.L. Grey & J.S. Hamid, A Systematic Review of Statistical Methods Used in Constructing Pediatric Reference Intervals, Clinical Biochemistry 46 (2013), 1220--1227 

G, Fan, S.A. Campbell, G.S.K. Wolkowicz, and H. Zhu, The bifurcation study of 1:2 resonance in a delayed system of two coupled neurons, J. Diff. Eqs. 25 (2013), 193--216 DOI: 10.1007/s10884-012-9279-9

X. Fu and J.-P. Gabardo, Dimension functions of self-affine scaling sets, Canad. Math. Bull. 56 (2013), 745--758

M. R. Grasselli, V. Leclere and M. Ludkovski, Priority Option: the value of being a leader,  Intern. J. Theor. Appl. Finance, 16 (1), 1350004 (37 pages)

M. R. Grasselli, O. Ismail, An agent-based computational model for bank formation and interbank networks,  in Handbook on Systemic Risk, J.-P. Fouque and J. Langsam (eds), 401-430, Cambridge University Press, 2013

J. Gustafsson and B. Protas, On Oseen Flows for Large Reynolds Numbers, Theoretical and Computational Fluid Dynamics 27 (2013), 665--680 

I. Hambleton, S. Pamuk, E. Yalcin, Equivariant CW-Complexes and the Orbit Category, Comment. Math. Helv. 88 (2013), no. 2, 369--425

I. Huh, R. Viveros-Aguilera and N. Balakrishnan, Differential Smoothing in the Bivariate Exponentially Weighted Moving Average Chart, Journal of Quality Technology, 45, No. 4, (2013), 377--393

S. Jewell, Y. Li and T. A. Pirvu, Non-Linear Equity Portfolio Variance Reduction under Delta-Gamma Approach Analysis, 2013, Operations Research Letters, 41 (6), 694--700

C. Junkins 
and M. Kolster, The analogue of the Gauss class number problem in motivic cohomology, Ann. Math. Que. 37 (2013), 79--108

O. Krylova and D. J. D. Earn, Effects of the infectious period distribution on predicted transitions in childhood disease dynamics, Journal of the Royal Society Interface 10 (2013), 20130098

H.K.T. Ng, R. Tripathi, and N. Balakrishnan, A two-stage Wilcoxon-type nonparametric test for stochastic ordering in two samples, J. Nonparametr. Stat. 25 (2013), no. 1, 73--89

X. Peng, K. Niakhai, and B. Protas, A Method for Geometry Optimization in a Simple Model of Two-Dimensional Heat Transfer, SIAM Journal on Scientific Computing 35 (2013), B1105--B1131 

E.M. Pullenayegum, H.S. Wong, and A. Childs,  Generalized additive models for the analysis of EQ-5D utility data, Medical Decision Making 33, pp. 244--251.

W. Volterman and N. Balakrishnan, Efficient iterative computation of mixture weights for pooled order statistics for meta-analysis of multiple type-II right censored data, Comput. Statist. 28 (2013), 2231--2239

W. Volterman, K. Davies and N. Balakrishnan, Simultaneous Pitman closeness of progressively type-II right-censored order statistics to population quantiles, Statistics 47 (2013), no. 2, 439--452

X. Yu, Asymptotic decorrelation of wavelet packet transform for certain long-memory processes.IEEE Trans. Inform. Theory 59 (2013), no. 8, 5051--5062

X. Yu, Certain discrete dynamical systems, number systems and related integral self-affine sets. Theoret. Comput. Sci. 469 (2013), 119--126.


J. Alam, NK-R. Kevlahan, O.V. Vasilyev, and Z. Hossain, A Multi-resolution model for the simulation of transient heat and mass transfer. Numer Heat Tr B-Fund. 61(3): 147--170.

N. Balakrishnan and D. MitraLeft truncated and right censored Weibull data and likelihood inference with an illustration, Comput. Statist. Data Anal. 56 (2012), no. 12, 4011--4025

N. Balakrishnan and M. H. LingEM algorithm for one-shot device testing under the exponential distribution, Comput. Statist. Data Anal. 56 (2012), no. 3, 502--509

D. Bayegan and M. Harada, A Giambelli formula for the S^1-equivariant cohomology of type A Peterson varieties, Involve 5 (2012), no. 2, 115--132

C. Cappadocia and A. Nicas, Moduli of triangles in the Heisenberg group, Geom. Dedicata 161 (2012), 189--219

M. Coles and D. Pelinovsky, Loops of energy bands for Bloch waves in optical lattices, Stud. Appl. Math. 128 (2012), no. 3, 300--336

B. Dewitt and M. Harada, Poset pinball, highest forms, and (n−2,2) Springer varieties, Electron. J. Combin. 19 (2012), no. 1, Paper 56, 35 pp.

I. Ekeland, O. Mbodji, and T. Pirvu, Time-consistent portfolio management, SIAM J. Financial Math. B (2012), no. 1, 1--32

S. Feng, W. Sun, F.-Y. Wang, and F. XuFunctional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion, J. Funct. Anal. 260 (2011), 399--413

M.R. Grasselli, B. Costa LimaAn analysis of the Keen model for credit expansion, asset price bubbles and financial fragility,  Math. Fin. Econ., 6 (3), 191--210, 2012

A.M. Holdsworth, NK-R. Kevlahan, and DJD. Earn,  Multifractal signatures of infectious diseases. J R Soc: Interface. 9(74): 2167--2180. 

M. Jafari Jozani, K. Davies, N. Balakrishnan, Pitman closeness results concerning ranked set sampling. Statist. Probab. Lett. 82 (2012), no. 12, 2260--2269

K. Northcott, M. Imran,  and G. Wolkowicz, Competition in the presence of a virus in an aquatic system: an SIS model in the chemostat, J. Math. Biol. 64 (2012), no. 6, 1043--1086

D. Pelinovsky and A. SakovichMulti-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations, Nonlinearity 25 (2012), no. 12, 3423--3451

A. Selvitella and Y. Wang, Morawetz and interaction Morawetz estimates for a quasilinear Schrodinger equation J. Hyperbolic Differ. Equ. 9 (2012), no. 4, 613--639.

W. Volterman, K. Davies and N. Balakrishnan, Pitman closeness as a criterion for the determination of the optimal progressive censoring scheme, Stat. Methodol. 9 (2012), no. 6, 563--572


A. Abdelrazec and D. Pelinovsky, Convergence of the Adomian decomposition method for initial-value problems, Numerical Methods for PDEs 27 (2011), 749--766

D. Ayala and B. Protas, On Maximum Enstrophy Growth in a Hydrodynamic System, Physica D 240 (2011), 1553--1563

D. Badali, M. Chugunova, D.E. Pelinovsky, and S. Pollack,  Regularized shock solutions in coating flows with small surface tension,  Physics of Fluids 23 (2011),  093103 (8 pp)

N. Balakrishnan, H.K.T. Ng, and J. Navarro, Exact nonparametric inference for component lifetime distribution based on lifetime data from systems with known signatures, J. Nonparametr. Stat. 23 (2011), no. 3, 741--752

N. Balakrishnan, K. Davies, J. Keating, and R. Mason, Pitman closeness, monotonicity and consistency of best linear unbiased and invariant estimators for exponential distribution under type II censoring, J. Stat. Comput. Simul. 81 (2011), no. 8, 985--999

N. Balakrishnan, K. Davies, J. Keating, and R. Mason, Correlation-type goodness of fit test for extreme value distribution based on simultaneous closeness, Comm. Statist. Simulation Comput. 40 (2011), no. 7, 1074--1095

V. Bukshtynov, O. Volkov, and B. Protas, On optimal reconstruction of constitutive relations, Phys. D 240 (2011), no. 16, 1228--1244

D. Chen, Examples of Einstein Manifolds in Odd Dimensions, Ann. Glob. Anal. Geom., 40  (2011) 339--377.

A. Childs and Y. Chen,  Multilevel fixed and sequential acceptance sampling: The R package MFSAS, J. Stat. Software 43 (2011), 1--20

O. Coskun and S. Pamuk, Projective resolutions of globally defined Mackey functors in characteristic zero. Arch. Math.  96  (2011),  no. 1, 39--48 

D.L. DeAngelis, G.S.K. Wolkowicz, Y. Lou, Y. Jiang, M. Novak, R. Svanback, M. Araujo, Y. S. Jo, and E. Cleary, (2011) The effect of travel loss on evolutionarily stable distributions of populations in space,The American Naturalist,/ Vol. 178, No. 1, 15--29, (on-line Appendix A (7 pages) and Appendix B (2 pages)). on-line Appendix A (7 pages) and Appendix B (2 pages)). DOI: 10.1086/660280 |pdf file|

M. Farazmand, N.K.R. Kevlahan and B. Protas, Controlling the dual cascade of two-dimensional turbulence, J. Fluid Mech. 668 (2011), 202--222

S. Feng, W. Sun, F.Y. Wang, and F. Xu, Functional inequalities for the unlabeled two-parameter infinite-alleles diffusion. J. Func. Anal.  260 (2011), 399--413. 

I. Hambleton and L. SavinCoarse geometry and P. A. Smith theory, Homology Homotopy Appl. 13 (2011), no. 2, 73--102

Pamuk, Mehmetcik, Homotopy self-equivalences of 4-manifolds with π1-free second homotopy. J. Math. Soc. Japan  63  (2011),  no. 3, 801--814.

D. Pelinovsky and A. Sakovich, Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation, Phys. D 240 (2011), no. 3, 265--281

F. XuThe sampling formula and Laplace transform associated with the two-parameter Poisson-Dirichlet distribution, Adv. in Appl. Probab. 43 (2011), no. 4, 1066--1085


N. Balakrishnan, R. Tripathi, N. Kannan, and H.K.T. NgSome nonparametric precedence-type tests based on progressively censored samples and evaluation of power, J. Statist. Plann. Inference 140 (2010), no. 2, 559--573

M. Coles, D. Pelinovsky, and P. Kevrekidis, Excited states in the large density limit: a variational approach, Nonlinearity 23 (2010), no. 8, 1753--1770

M. Chugunova and D. Pelinovsky, Count of eigenvalues in the generalized eigenvalue problem, J. Math. Phys. 51 (2010), no. 5, 052901, 19 pp.

G. Fan and G. Wolkowicz, A predator-prey model in the chemostat with time delay, Int. J. Differ. Equ. 2010, Art. ID 287969, 41 pp

D. Han and N. Balakrishnan, Inference for a simple step-stress model with competing risks for failure from the exponential distribution under time constraint, Comput. Statist. Data Anal. 54 (2010), no. 9, 2066--2081

J. Gustafsson and B. Protas, Regularization of the backward-in-time Kuramoto-Sivashinsky equation, J. Comput. Appl. Math. 234 (2010), no. 2, 398--406

D. He, L. Stone, and B. Cazelles, Noise-induced synchronization in multitrophic chaotic ecological systems, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 20 (2010), no. 6, 1779--1788

T. Hurd and Z. ZhouA Fourier transform method for spread option pricing, SIAM J. Financial Math. 1 (2010), 142--157

Y. Liu, Pelinovsky, D. Pelinovsky, and A. SakovichWave breaking in the Ostrovsky-Hunter equation, SIAM J. Math. Anal. 42 (2010), no. 5, 1967--1985

L. Ma and D. Chen, Remarks on complete non-compact gradient Ricci expanding solitons, Kodai Math. J. 33 (2010), no. 2, 173--181

H.K.T. Ng and N. Balakrishnan, Precedence-type test based on Kaplan-Meier estimator of cumulative distribution function, J. Statist. Plann. Inference 140 (2010), no. 8, 2295--2311

M. PamukHomotopy self-equivalences of 4-manifolds with free fundamental group, Canad. J. Math. 62 (2010), no. 6, 1387--1403

D. Pelinovsky and A. SakovichGlobal well-posedness of the short-pulse and sine-Gordon equations in energy space, Comm. Partial Differential Equations 35 (2010), no. 4, 613--629

S. RodneyA degenerate Sobolev inequality for a large open set in a homogeneous space, Trans. Amer. Math. Soc. 362 (2010), no. 2, 673--685

W. Volterman and N. Balakrishnan, Exact nonparametric confidence, prediction and tolerance intervals based on multi-sample Type-II right censored data, J. Statist. Plann. Inference 140 (2010), no. 11, 3306--3316

B.G. Wagner and D.J.D. Earn, Population dynamics of live-attenuated virus vaccines, Theoretical Population Biology 77 (2010), no. 2, 79--94

J.A.M. Young, J.R. Marentette, C. Gross, J. McDonald, A. Verma, S. Marsh-Rollo, P.D.M. MacDonald, D.J.D. Earn and S. Balshine, Demography and substrate affinity of the round goby (Neogobius  melanostomus) in Hamilton Harbour, Journal of Great Lakes Research 36 (2010), no. 1, 115--122

X. Yu, Semiorthogonal multiresolution analysis frames in higher dimensions. Acta Appl. Math. 111 (2010), no. 3, 257--286.


S. Alama and Q. LuCompactly supported solutions to stationary degenerate diffusion equations, J. Differential Equations 246 (2009), no. 8, 3214--3240.

T. Azizov and M. ChugunovaPontryagin's theorem and an analysis of the spectral stability of solitons, (Russian) Mat. Zametki 86 (2009), no. 5, 643--658

N. Balakrishnan and D. HanOptimal step-stress testing for progressively Type-I censored data from exponential distribution, J. Statist. Plann. Inference 139 (2009), no. 5, 1782--1798

N. Balakrishnan and P. YangDe-aliasing effects using semifoldover techniques, J. Statist. Plann. Inference 139 (2009), no. 9, 3102--3111

N. Balakrishnan, Q. Xie, and D. Kundu, Exact inference for a simple step-stress model from the exponential distribution under time constraint, Ann. Inst. Statist. Math. 61 (2009), no. 1, 251--274

N. Balakrishnan, L. Zhang and Q. Xie,  Inference for a simple step-stress model with type-I censoring and lognormally distributed lifetimes, Comm. Statist. Theory Methods 38 (2009), no. 8-10, 1690--1709

N. Balakrishnan and X. ZhaoNew multi-sample nonparametric tests for panel count data, Ann. Statist. 37 (2009), no. 3, 1112--1149

D. Chen, A note on Ricci signatures. Proc. Amer. Math. Soc. 137 (2009), no. 1, 273--278

M. Chugunova and D. Pelinovsky, On the uniform convergence of the Chebyshev interpolants for solitons, Math. Comput. Simulation 80 (2009), no. 4, 794--803

M. Chugunova and D. Pelinovsky, On quadratic eigenvalue problems arising in stability of discrete vortices, Linear Algebra Appl. 431 (2009), no. 5-7, 962--973

G. Fan, M. Min-Oo, and G. S. K. Wolkowicz, Hopf bifurcation of delay differential equations with delay dependent parameters, Can. Appl. Math. Q. 17 (2009), 37--60

R. Griffiths and M. Lescop, On the 2-rank of the Hilbert kernel of number fields, Canad. J. Math. 61 (2009), no. 5, 1073--1091

Y. Liu, D. Pelinovsky, and A. SakovichWave breaking in the short-pulse equation, Dyn. Partial Differ. Equ. 6 (2009), no. 4, 291--310

L. Ma and D. Chen, Radial symmetry and uniqueness for positive solutions of a Schrodinger type system. Math. Comput. Modelling 49 (2009), no. 1-2, 379--385

M. Pamuk, Homotopy self-equivalences of 4-manifolds with PD_2 fundamental group, Topology Appl. 156 (2009), no. 8, 1445--1458

M. Qin and G. FanA new method for finding special solutions of nonlinear diffusion equation, Nonlinear Dynam. 55 (2009), no. 4, 349--353

F. XuA central limit theorem associated with the transformed two-parameter Poisson-Dirichlet distribution, J. Appl. Probab. 46 (2009), no. 2, 392--401

X. Zhang, S. Walter, and R. Agnihotram, Properties of the projected length of the curve (PLC) and area swept out by the curve (ASC) indices for the receiver operating characteristic (SROC) curve. Int. J. Biostat. (2009), Art. 11, 35 pp.


M. Akinlar and J.-P. Gabardo, Oblique duals associated with rational subspace Gabor frames. J. Integral Equations Appl. 20 (2008), no. 3, 283--309

N. Balakrishnan and D. HanExact inference for a simple step-stress model with competing risks for failure from exponential distribution under Type-II censoring, J. Statist. Plann. Inference 138 (2008), no. 12, 4172--4186

N. Balakrishnan and T. Li, Ordered ranked set samples and applications to inference, J. Statist. Plann. Inference 138 (2008), no. 11, 3512--3524

M. Chugunova and D. Pelinovsky, Spectrum of a non-self-adjoint operator associated with the periodic heat equation, Journal of Mathematical Analysis and its Applications 342 (2008) 970--988.

A. Deza, E. Nematollahi, and T. Terlaky, How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds, Math. Program. 113 (2008), no. 1, Ser. A, 1--14

S. FratarcangeliA first-order version of Pfaffian closure, Fund. Math. 198 (2008), no. 3, 229--254

M.R. Grasselli and S. Silla, A policyholder's utility indifference valuation model for the guaranteed annuity option,  Math. Methods in Econ. and Fin., 3 (2), 61--80, 2008

T. Li and N. Balakrishnan, Some simple nonparametric methods to test for perfect ranking in ranked set sampling, J. Statist. Plann. Inference 138 (2008), no. 5, 1325--1338

M. Lukas, D. Pelinovsky, and P. Kevrekidis, Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices, Phys. D 237 (2008), no. 3, 339--350

L. Ma and D. Chen, Radial symmetry and monotonicity for an integral equation, J. Math. Anal. Appl. 342 (2008), no. 2, 943--949

M. Qin and G. FanAn effective method for finding special solutions of nonlinear differential equations with variable coefficients, Phys. Lett. A 372 (2008), no. 18, 3240--3242

M. Salahi, M. Peyghami, and T. Terlaky, New complexity analysis of IIPMs for linear optimization based on a specific self-regular function, European J. Oper. Res. 186 (2008), no. 2, 466--485

B. Wagner and D. Earn, Circulating vaccine derived polio viruses and their impact on global polio eradication, Bull. Math. Biol. 70 (2008), no. 1, 253--280


N. Balakrishnan and D. HanOptimal progressive type-II censoring schemes for nonparametric confidence intervals of quantiles, Comm. Statist. Simulation Comput. 36 (2007), no. 4-6, 1247--1262

N. Balakrishnan and Q. XieExact inference for a simple step-stress model with type-I hybrid censored data from the exponential distribution, J. Statist. Plann. Inference 137 (2007), no. 11, 3268--3290

N. Balakrishnan and Q. XieExact inference for a simple step-stress model with type-II hybrid censored data from the exponential distribution, J. Statist. Plann. Inference 137 (2007), no. 8, 2543--2563.

M. Chugunova and D. Pelinovsky, Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations, Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 4, 773--800

G. Fan and G. Wolkowicz, Analysis of a model of nutrient driven self-cycling fermentation allowing unimodal response functions, Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 4, 801--831

P. Fernandes and A. Nicas, Classification of di-embeddings of the n-cube into R^n, Homology, Homotopy Appl.9 (2007), no. 1, 213--220

D. He and D. J. D. Earn, Epidemiological effects of seasonal oscillations in birth rates, Theoretical Population Biology 72 (2007), 274--291

N. Kevlahan, J. Alam, and O. Vasilyev, Scaling of space-time modes with Reynolds number in two-dimensional turbulence, J. Fluid Mech. 570 (2007), 217--226

L. Ma and D. ChenCurve shortening in a Riemannian manifold, Ann. Mat. Pura Appl. (4) 186 (2007), no. 4, 663--684

I. Polik and T. Terlaky, A survey of the S-lemma, SIAM Rev. 49 (2007), no. 3, 371--418

M.-C. Qin, F.-X. Mei, and G. FanNew explicit solutions of the Burgers equation, Nonlinear Dynam. 48 (2007), no. 1-2, 91--96

M. Salahi, J. Peng, and T. Terlaky, On Mehrotra-type predictor-corrector algorithms, SIAM J. Optim. 18 (2007), no. 4, 1377--1397

M. Salahi and T. Terlaky, Postponing the choice of the barrier parameter in Mehrotra-type predictor-corrector algorithms. European J. Oper. Res. 182 (2007), no. 2, 502--513

M. Salahi and T. Terlaky, Adaptive large-neighborhood self-regular predictor-corrector interior-point methods for linear optimization. J. Optim. Theory Appl. 132 (2007), no. 1, 143--160

X. Yu and J.-P. Gabardo, Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs, J. Approx. Theory 145 (2007), no. 1, 133--139


J. Alam, N. Kevlahan, and O. Vasilyev, Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations, J. Comput. Phys. 214 (2006), no. 2, 829--857

N. Balakrishnan and T. Li, Fisher information and Tukey's linear sensitivity measure based on ordered ranked set samples. Advances in distribution theory, order statistics, and inference, 187-206, Stat. Ind. Technol., Birkhauser Boston, Boston, MA, 2006

N. Balakrishnan and T. LiConfidence intervals for quantiles and tolerance intervals based on ordered ranked set samples, Ann. Inst. Statist. Math. 58 (2006), no. 4, 757--777

N. Balakrishnan and P. YangClassification of three-word indicator functions of two-level factorial designs, Ann. Inst. Statist. Math. 58 (2006) 595--608

N. Balakrishnan and P. Yang, Connections between the resolutions of general two-level factorial designs, Ann. Inst. Statist. Math. 58 (2006) 609--618

A. J. Berrick and M-F LimIntertwining matrices for number fields: supplement to: "Intertwiners and the K-theory of commutative rings" [J. Reine Angew. Math. 569 (2004), 55--101; MR2055714] by Berrick. J. Reine Angew. Math. 601 (2006), 159--162

M. Chugunova and D. Pelinovsky, Block-diagonalization of the symmetric first-order coupled-mode syste,. SIAM J. Appl. Dyn. Syst. 5 (2006), no. 1, 66--83

A. Deza, E. Nematollahi, R. Peyghami, and T. Terlaky, The central path visits all the vertices of the Klee-Minty cube, Optim. Methods Softw. 21 (2006), no. 5, 851--865

J.-P. Gabardo and X. YuNatural tiling, lattice tiling and Lebesgue measure of integral self-affine tiles, J. London Math. Soc., 74 (2006), no. 2, 184--204

J.-P. Gabardo and X. YuWavelets associated with non-uniform multiresolution analyses and one-dimensional spectral pairs, J. Math. Anal. Appl. 323 (2006), 798--817

J. Lucier,  Intersective sets given by a polynomial. Acta Arith. 123 (2006),  no. 1, 57--95

L. Ma, D. Chen, and Yang Yang, Some results on subelliptic equations, Acta Math. Sin. 22 (2006), no. 6, 1695--1704

L. Ma and D. ChenExamples for cross curvature flow on 3-manifolds, Calc. Var. Partial Differential Equations 26 (2006), no. 2, 227--243

L. Ma and D. ChenA Liouville type Theorem for an integral system, Commun. Pure Appl. Anal. 5 (2006), 855--859

M. Porter, M. Chugunova, and D. Pelinovsky, Feshbach resonance management of Bose-Einstein condensates in optical lattices, Physical Review E 74,1 (2006)

M.-C. Qin, F.-X. Mei, and G. FanAn effective method for seeking conservation laws of partial differential equations, Commun. Theor. Phys. (Beijing) 46 (2006), no. 1, 21--22

M. Salahi, T. Terlaky and G. Zhang, The complexity of self-regular proximity based infeasible IPMs, Comput. Optim. Appl. 33 (2006), no. 2-3, 157--185

X.YuCube-approximating bounded wavelet sets in R^n. Proc. Amer. Math. Soc. 134 (2006), no. 2, 491--499


D. Agueev and D. Pelinovsky, Modeling of wave resonances in low-contrast photonic crystals, SIAM J. Appl. Math. 65 (2005) 1101--1129

N. Balakrishnan and J.-A. Kim, EM algorithm and optimal censoring schemes for progressively type-II censored bivariate normal data. Advances in ranking and selection, multiple comparisons, and reliability, 21-45, Stat. Ind. Technol., Birkhauser Boston, Boston, MA, 2005.

N. Balakrishnan and T. LiBLUEs of parameters of generalized geometric distribution using ordered ranked set sampling, Comm. Statist. Simulation Comput. 34 (2005), no. 2, 253--266

M. Cara and A. Tourin, A direct method for computing the effective Hamiltonian in the Majda-Souganidis model of turbulent combustion, Can. Appl. Math. Q. 13 (2005), no. 2, 107--121

M.S. Cavers, I.J. Kim, B.L. Shader, K.N. Vander Meulen, On determining minimal spectrally arbitrary patterns, Electron. J. Linear Algebra 13 (2005), 240--248

M.S. Cavers and K. N. Vander Meulen, Spectrally and inertially arbitrary sign patterns, Linear Algebra Appl. 394 (2005), 53--72

S. FratarcangeliElimination of imaginaries in expansions of o-minimal structures by generic sets, J. Symbolic Logic 70 (2005), no. 4, 1150--1160

J.-A. Kim and N. Balakrishnan, Nonparametric tests for independence between lifetimes and covariates from censored bivariate normal samples, Comm. Statist. Simulation Comput. 34 (2005), no. 3, 685--710

I. Polik, T. Terlaky, Interior point methods with self-regular proximities, Alkalmaz. Mat. Lapok 22 (2005), no. 1, 177--198

M. Salahi and T. Terlaky, An adaptive self-regular proximity based large-update IPM for LO, Optim. Methods Softw. 20 (2005), no. 1, 169--185

L. Thabane, A. Childs, and A. LafontaineDetermining the Level of Statisticians' Participation in Canadian-based Research Ethics Committees, IRB: Ethics & Human Research 27 (2005), 11--14.

Y. Wu, J. Xu, D. He, and D. Earn, Generalized synchronization induced by noise and parameter mismatching in Hindmarsh-Rose neurons, Chaos Solitons Fractals 23 (2005), no. 5, 1605--1611

P. Wu and R. Elliott, Parameter estimation for a regime-switching mean-reverting model with jumps, Int. J. Theor. Appl. Finance 8 (2005), no. 6, 791--806


N. Balakrishnan and J.-A. Kim,. EM algorithm for type-II right censored bivariate normal data. Parametric and semiparametric models with applications to reliability, survival analysis, and quality of life, 177-210, Stat. Ind. Technol., Birkhauser Boston, Boston, MA, 2004.

J.-P. Gabardo and X.YuConstruction of wavelet sets with certain self-similarity properties, J. Geom. Anal. 14 (2004), no. 4, 629--651.

I. Hambleton and M. Tanase, Permutations, isotropy and smooth cyclic group actions on definite 4-manifold,. Geom. Topol. 8 (2004), 475--509

D. He, M. Zhan, and C.-H. Lai, Spurious synchronization in non-diagonally coupled identical Lorenz oscillators, Phys. Lett. A 326 (2004), no. 5-6, 349--354

M. Salahi, R. Sotirov and T. Terlaky, On self-regular IPMs. With discussion and rejoinder by the authors. Top 12 (2004), no. 2, 209--300

R.J. Smith and G.S.K. Wolkowicz,  Analysis of a Model of the  Nutrient Driven Self-cycling Fermentation Process, Dynamics of Continuous, Discrete and Impulsive Systems,/ Series B: Applications and Algorithms 11 (2004), 239-265.

Last modified: 19-Sept-2017