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.
2017
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. White, Virtual knot groups and
almost classical knots, Fund. Math. 138 (2017),
101--142
H.U. Boden, A. J. Nicas, and L. White, Alexander
invariants of periodic virtual knots, ArXiv
math.GT/1706.02671
H.U. Boden, M. Chrisman, and R. Gaudreau, Virtual
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 knots, ArXiv
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: https://doi.org/10.1093/cje/bex018)
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. 60, no. 3 (2017), 529--550
2016
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. 6, no. 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. Selvitella, The
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
2015
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. Zhu, Inference 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. Zhu, Birnbaum-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. Gaudreau, Bridge
numbers for virtual and welded knots, J. Knot Theory
Ramific. 24 (2015), no. 2, 1550008, 15 pp
H.U. Boden, E. Dies, A. I. Gaudreau, A.
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 Processes, 141-155. 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.
2014
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. Ling, Best
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. Ling, Gamma
lifetimes and one-shot device testing analysis,
Reliability Engineering and System Safety, 126 (2014),
54--64
N.
Balakrishnan and W. Volterman, On 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 applications. Frontiers 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. Zhou, Asymptotic
behaviour of an infinitely-many-alleles diffusion with
symmetric overdominance, Stochastic Process. Appl. 124 (2014),
no. 8, 2771--2798
2013
S. Alama
and Q. Gao, Symmetric vortices for
two-component Ginzburg-Landau systems, J. Differential
Equations 255 (2013), no. 10, 3564--3591
N.
Balakrishnan and S. Pal, Expectation
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. Zhang, A
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. Zhu, A 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.
2012
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. Mitra, Left 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. Ling, EM 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. Xu, Functional
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 Lima, An 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. Sakovich, Multi-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
2011
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, http://www.jstor.org/stable/10.1086/660280
(on-line Appendix A (7 pages) and Appendix B (2 pages)). http://www.jstor.org/stable/10.1086/660280
on-line
Appendix A (7 pages) and Appendix B (2 pages)). DOI:
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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. Savin, Coarse 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. Xu, The
sampling formula and Laplace transform associated with the
two-parameter Poisson-Dirichlet distribution, Adv. in
Appl. Probab. 43 (2011), no. 4, 1066--1085
2010
N.
Balakrishnan, R. Tripathi, N. Kannan, and H.K.T. Ng, Some
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. Zhou, A Fourier transform method
for spread option pricing, SIAM J. Financial Math. 1 (2010), 142--157
Y. Liu,
Pelinovsky, D. Pelinovsky, and A. Sakovich, Wave
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.
Pamuk, Homotopy
self-equivalences of 4-manifolds with free fundamental group,
Canad. J. Math. 62 (2010), no. 6, 1387--1403
D.
Pelinovsky and A. Sakovich, Global
well-posedness of the short-pulse and sine-Gordon equations
in energy space, Comm. Partial Differential
Equations 35 (2010), no. 4, 613--629
S. Rodney, A
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.
2009
S. Alama
and Q. Lu, Compactly supported solutions
to stationary degenerate diffusion equations, J.
Differential Equations 246 (2009), no.
8, 3214--3240.
T. Azizov
and M. Chugunova, Pontryagin's theorem and
an analysis of the spectral stability of solitons,
(Russian) Mat. Zametki 86 (2009), no.
5, 643--658
N.
Balakrishnan and D. Han, Optimal
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. Yang, De-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. Zhao, New 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. Sakovich, Wave
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. Fan, A new method for finding
special solutions of nonlinear diffusion equation,
Nonlinear Dynam. 55 (2009), no.
4, 349--353
F. Xu, A
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. 5 (2009), Art.
11, 35 pp.
2008
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. Han, Exact 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.
Fratarcangeli, A
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. Fan, An 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
2007
N.
Balakrishnan and D. Han, Optimal
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. Xie, Exact 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. Xie, Exact 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. Chen, Curve 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. Fan, New 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
2006
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. Li, Confidence
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. Yang, Classification
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 Lim, Intertwining 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. Yu, Natural 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. Yu, Wavelets 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. Chen, Examples for cross curvature
flow on 3-manifolds, Calc. Var. Partial Differential
Equations 26 (2006), no. 2, 227--243
L. Ma
and D. Chen, A 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. Fan, An 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.Yu, Cube-approximating
bounded wavelet sets in R^n. Proc. Amer.
Math. Soc. 134 (2006), no. 2, 491--499
2005
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. Li, BLUEs 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.
Fratarcangeli, Elimination
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. Lafontaine, Determining
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
2004
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.Yu, Construction 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.
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