University of Calgary

# Publications - 2003

## A finite element method for singularly perturbed reaction-diffusion problems

Duan, Huoyuan and Zhang, Dali

## A geometrical approach to mesh smoothing

Aiffa, Mohammed and Flaherty, J. E.

## Aggregate survival probability of a portfolio with dependent subportfolios

Ambagaspitiya, Rohana

Binding, Paul

Brudnyi, Alex

## Alternating paths through disjoint line segments

Hoffmann, Michael and Toth, Csaba

## A Multi-variate Model Integrating Passive Sampler and Meteorology Data to Predict the Frequency Distributions of Hourly Ambient Ozone (O3) Concentrations

Nosal, Miloslav and Krupa, S. V.

## An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations

Gu, Yuanxian, Liao, Wenyuan and Zhu, Jianping

Toth, Csaba

## Asset allocation: investment strategies for insurance and insurance portfolio

Cheung, Ka Chun and Hailiang Yang in Intelligent and Other Computational Techniques in Insurance: Theory and Applications

Brudnyi, Alex

## A wider class of stable gyroscopic systems

Lancaster, Peter and Zhou, Fei

Collins, John

Toth, Csaba

## Canonical vertex partitions

Sauer, Norbert

Let $\sigma$ be a finite relational signature and $\mathcal T$ a set of finite complete relational structures of signature $\sigma$ and $\Ha_{\mathcal T}$ the countable homogeneous relational structure of signature $\sigma$ which does not embed any of the structures in $\mathcal T$. In the case that $\sigma$ consists of at most binary relations and $\mathcal T$ is finite the vertex partition behaviour of $\Ht$ is completely analysed; in the sense that it is shown that a canonical partition exists and the size of this partition in terms of the structures in $\mathcal{T}$ is determined. If $\mathcal{T}$ is infinite some results are obtained but a complete analysis is still missing. Some general results are presented which are intended to be used in further investigations in case that $\sigma$ contains relational symbols of arity larger than two or that the set of bounds $\mathcal{T}$ is infinite.

## Computation of the fundamental units and the regulator of a cyclic cubic function field

Lee, Yoonjin, Scheidler, Renate and Yarrish, Christopher

## Consistency adjustments for pairwise comparison matrices

Farkas, Andr, Lancaster, Peter and R{\'o}zsa, P

## Construction of branched coverings over closed surfaces following the Hurwitz approach

Bogatyi, Semeon A., Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner

## Construction of families of long continued fractions revisited

Mollin, Richard

Singh, B. M., Rokne, J., Dhaliwal, Ranjit S. and Vrbik, J.

## Corrigenda and addition to: {C}omputer verification of the {A}nkeny-{A}rtin-{C}howla conjecture for all primes less than {$100\,000\,000\,000$}'' [{M}ath.\ {C}omp.\ {\bf 70} (2001), no. 235, 1311-1328; \refmr {MR}1709160 (2001j:11125)\endrefmr]

Poorten, A. J., Riele, H. J. J. and Williams, Hugh

## Coupling of the effective properties of a random mixture through the reconstructed spectral representation

Cherkaev, Elena and Zhang, Dali

Brudnyi, Alex

## Cyclic polytopes, hyperplanes, and {G}ray codes

Bisztriczky, Ted, B{\"o}r{\"o}czky, Jr. and Gunderson, David

## Decomposition of spectral asymptotics for {S}turm-{L}iouville equations with a turning point

Binding, Paul, Browne, Patrick and Watson, Bruce

## Delay differential logistic equations with a nonlinear harvesting function

Berezansky, L., Braverman, Elena and Idels, L.

## Delete-group Jackknife Estimate in Partially Linear Regression Models with Heteroscedasticity

Chen, Gemai and You, Jinhong

## Diurnal and Seasonal Changes in Stem Increment and Water Use by Yellow Poplar Trees in Response to Environmental Stress

McLaughlin, S. B., Nosal, Miloslav and Wullschleger, S. D.

## Erratum: {D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; {MR}1848504 (2002j:53109)]

Cushman, Richard and Sniatycki, Jedrzej

## Erratum: {D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; \refmr {MR}1848504 (2002j:53109)\endrefmr]

Cushman, Richard and Sniatycki, Jedrzej

## Evaluation of Canada Wide Standard for Ozone Efficacy in Protecting Canada�s Forests: Phase I

Percy, K. E., Nosal, Miloslav and et, al

## Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Swishchuk, Anatoliy and Wu, Jianhong

## Finite distributive lattices and the splitting property

Duffus, Dwight and Sands, Bill

Toth, Csaba

## Illuminating both sides of line segments

Toth, Csaba in Discrete and Computational Geometry, vol. 2098 of LNCS

Toth, Csaba

## Illuminating polygons with vertex Ï-floodlights

Toth, Csaba in Computational Science - ICCS 2001, Part I, vol. 2073 of LNCS

Toth, Csaba

## Improved Estimation of Regression Parameters in Measurement Error Models: Finite Sample Case

Kim, Hyang Mi and Saleh, A.K.Md.E

Mollin, Richard

Mollin, Richard

## Irreversible Markov processes for phylogenetic models

Bohl, Erich and Lancaster, Peter

## Jackknife type estimation for smooth functions of parametric component in partially linear models

Chen, Gemai and J. You

## Large Sample Theory for Box-Cox Transformed Linear Models (With Discussions)

Chen, Gemai and R. Lockhart, M. Stephens

## Linear {H}amiltonian {H}opf bifurcation for point-group-invariant perturbations of the {$1:1:1$} resonance

Efstathiou, K., Sadovski{\'{\i}}, D. A. and Cushman, Richard

## Linearized oscillation theory for a nonlinear delay impulsive equation

Berezansky, Leonid and Braverman, Elena

## Linearized oscillation theory for a nonlinear delay impulsive equation

Berezansky, Leonid and Braverman, Elena

## Linearized oscillation theory for a nonlinear nonautonomous delay differential equation

Berezansky, Leonid and Braverman, Elena

Mollin, Richard

## Minimal number of preimages under mappings between surfaces

Bogatyi, Semeon A., Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner

## Modeling Microbiology Food Responses

McKellar, Robin and Lu, Xuewen

## Multivariate local polynomial regression for estimating average derivatives

Li, Qi, Lu, Xuewen and Ullah, Aman

## New computations concerning the {C}ohen-{L}enstra heuristics

Riele, Herman and Williams, Hugh

## New quadratic polynomials with high densities of prime values

Jacobson, Jr. and Williams, Hugh

## Normal and seminormal eigenvalues of matrix functions.

Lancaster, Peter and Psarrakos, P.

## On Class Group Computations Using the Number Field Sieve

Bauer, Mark and Hamdy, Safuat

The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a variant of the quadratic sieve factoring algorithm. Paradoxical as it sounds, the principles of the number field sieve, in a strict sense, could not be applied to number field computations, yet. In this article we give an indication of the obstructions. In particular, we first present fundamental core elements of a number field sieve for number field computations of which it is absolutely unknown how to design them in a useful way. Finally, we show that the existence of a number field sieve for number field computations with a running time asymptotics similar to that of the genuine number field sieve likely implies the existence of an algorithm for elliptic curve related computational problems with subexponential running time.

## On four points of a convex body in large relative distances

Langi, Zsolt and Lassak, Marek

Bezdek, Karoly

## On oscillation of a food-limited population model with time delay

Berezansky, Leonid and Braverman, Elena

## On oscillation of a food-limited population model with time delay [MR1954246]

Berezansky, Leonid and Braverman, Elena

## On quasi-Frobenius rings

Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed

Aggarwala, Ben

## On {T}ate-{S}hafarevich groups of {$y\sp 2=x(x\sp 2-k\sp 2)$}

Lemmermeyer, F. and Mollin, Richard

## On the modulus of the {R}iemann zeta function in the critical strip

Zvengrowski, Peter

## On the {$m$}th {P}etty numbers of normed spaces

Bezdek, Karoly, Naszodi, Marton and Visy, Balazs in Discrete geometry

## On the relative lengths of sides of convex polygons

Langi, Zsolt

Let $C$ be a convex body. By the relative distance of points $p$ and $q$ we mean the ratio of the Euclidean distance of $p$ and $q$ to the half of the Euclidean length of a longest chord of $C$ parallel to $pq$. The aim of the paper is to find upper bounds for the minimum of the relative lengths of the sides of convex hexagons and heptagons.

## On the Wecken property for the root problem of mappings between surfaces

Bogatyi, Semeon A., Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner

## Oscillation and other properties of linear impulsive and nonimpulsive delay equations

Berezansky, L. and Braverman, Elena

## Oscillation criteria for a linear neutral differential equation

Berezansky, Leonid and Braverman, Elena

## Oscillation for equations with positive and negative coefficients and distributed delay. {II}. {A}pplications

Berezansky, Leonid and Braverman, Elena

## Oscillation for equations with positive and negative coefficients and with distributed delay. {I}. {G}eneral results

Berezansky, Leonid and Braverman, Elena

## Oscillation properties of a logistic equation with distributed delay

Berezansky, Leonid and Braverman, Elena

## Perturbation theory for analytic matrix functions: the semisimple case.

Lancaster, Peter, Markus, A. S. and Zhou, F.

## Quadratic equations in free groups and topological applications

Kudryavtseva, Elena, Weidmann, Richard and Zieschang, Heiner

## Quasi-Frobenius Rings

Nicholson, W. Keith and Yousif, Mohammed

## Randomized polynomial lattice rules for multivariate integration and simulation

Lemieux, Christiane and L'Ecuyer, Pierre

## Relative distance and a convex body touched by its homothetical copies

Langi, Zsolt

The relative distance of points $p$ and $q$ of a convex body $C$ is the ratio of the length of the segment $pq$ to the half of the length of a longest chord of $C$ parallel to $pq$. In this paper we find a connection between pairwise relative distances of $k$ points in the boundary of a convex body and the ratio of $k$ homothetical copies of the body touching it.

## Relative distance and packing a body by homothetical copies

Langi, Zsolt and Lassak, Marek

This paper discusses packings of a planar convex body $C$ by smaller positive homothets of $C$. In particular, bounds on the maximum homothety ratio $r$ for which $k$ homothets of $C$ of ratio $r$ can pack $C$, where the maximum is taken over all possible $C$, are given for various small values of $k$. The paper surveys previously known results, finds some new ones, gives examples, and presents various interesting conjectures. The case of centrally symmetric $C$ is also considered. The basic approach to the problem is via the notion of relative distance of points in $C$---this is distance as measured in the norm with unit ball ${1\over2}(C-C)$

Langi, Zsolt

## Representation of solutions of Pell equations using Lucas sequences

Jones, James P.

We consider classes of Pell equations of the form x^2 - dy^2 = c, where d = a^2 - 4, d = a^2 + 4, d = a^2 - 1, or d = a^2 + 1 and c = +4, -4, +1 or -1. We show that all the solutions are expressible in terms of Lucas sequences and we give the Lucas sequences explicitly.

## Right semidefinite eigenvalue problems

Binding, Paul and Volkmer, Hans

Mollin, Richard

## Segment endpoint visibility graphs are Hamiltonian

Toth, Csaba and Michael Hoffmann

## Separation in totally-sewn 4-polytopes

Bisztriczky, Ted and Oliveros, D.

## Sets with a unique extension to a set of constant width

Naszodi, Marton and Visy, Bal

## Single-Stage Queueing THeory in Flexible Manufacturing Systems (FMS)

Blankson, Jonathan

Brudnyi, Alex

Brudnyi, Alex

## Stitching images back together

Lutscher, Frithjof, McNulty, Jenny, Morris, Joy and Seyffarth, Karen

## Sturm-{L}iouville theory for the {$p$}-{L}aplacian

Binding, Paul and Dr{\'a}bek, P.

Mollin, Richard

## Tangential Markov inequalities on transcendental curves

Bos, Len, Brudnyi, Alex, Levenberg, N. and Totik, V.

## The breaking of a non-homogeneous fiber embedded in an infinite non-homogeneous medium

Vrbik, J., Singh, B. M., Rokne, J. and Dhaliwal, Ranjit S.

## The cohomology ring of the orientable {S}eifert manifolds. {II}

Bryden, John and Zvengrowski, Peter

## The Erdos-Szekeres problem for planar points in arbitrary position

Bisztriczky, Ted and Fejes Toth, G.

## The Index of a Dihedral Quartic Field

Silvester, Alan, Spearman, Blair K. and Williams, Kenneth S.

Let $c \neq 1$ be a squarefree integer. The set of all possible field indices for non-pure dihedral quartic fields containing the quadratic field $\mathbb{Q} ( \sqrt{c} )$ is determined by means of congruences on $c$ modulo 24.

## The integral homology of orientable {S}eifert manifolds

Bryden, John and Zvengrowski, Peter

Rios, Cristian

Bezdek, Karoly

## The {R}eissner-{S}agoci problem for a non-homogeneous half-space with a surface constraint

Singh, B. M., Danyluk, H. T., Vrbik, J., Rokne, J. and Dhaliwal, Ranjit S.

## Uniform Convergence Rate of Estimators of Autocovariances in Partly Linear Regression Models With Correlated Errors

Chen, Gemai and J. You, M. Chen, X. Jiang

## Vertex embeddings of regular polytopes

Adams, Josh, Zvengrowski, Peter and Laird, Philip

## Winning ways for your mathematical plays. {V}ol. 2

Berlekamp, Elwyn R., Conway, John H. and Guy, Richard

## Winning ways for your mathematical plays. {V}ol. 3

Berlekamp, Elwyn R., Conway, John H. and Guy, Richard