University of Calgary

Publications - 2004


A continued fraction approach to the {D}iophantine equation {$ax\sp 2-by\sp 2=\pm1$}

Mollin, Richard

A counterexample in {S}turm-{L}iouville completeness theory

Binding, Paul and {\'C}urgus, Branko

A Description of Continued Fraction Expansions of Quadratic Surds Represented by Polynomials

Mollin, Richard

A fast spectral subtractional solver for elliptic equations

Braverman, Elena, Epstein, Boris, Israeli, Moshe and Averbuch, Amir

Algorithmic aspects of cubic function fields

Scheidler, Renate in Buell, Duncan Proceedings of the Sixth Algorithmic Number Theory Symposium (ANTS-VI), Lecture Notes in Computer Science, vol. 3976

An algebraic model for the center problem

Brudnyi, Alex

An Asymptotic Theory for Semiparametric Generalized Least Squares Estimation in Partially Linear Regression Models

Chen, Gemai and You, Jinhong

A New EWMA Control Chart for Monitoring both Location and Dispersion

Chen, Gemai and S.W. Cheng, H. Xie

An explicit expression for the first return map in the center proble

Brudnyi, Alex

A note on asymptotic distribution of products of sums

Lu, Xuewen and Qi, Yongcheng

A signature theorem for uniform matroids

Bisztriczky, Ted

Asset allocation with regime-switching: discrete-time case

Cheung, Ka Chun and Yang, Hailiang

A survey of morphic rings and modules

Nicholson, W. Keith

A symmetry completeness criterion for second-order differential equations

Bates, Larry

A transversal property of families of eight or nine unit disks

Bisztriczky, Ted

Bayesian Reserving Models Inspired by Chain Ladder Methods and Implemented Using WinBUGS

Scollnik, David

Block External Bootstrap in Partially Linear Models With Nonstationary Strong Mixing Error Terms

Chen, Gemai and You, Jinhong

Bounds for the independent domination number of graphs and planar graphs

MacGillivray, G. and Seyffarth, Karen

B-spline Estimation for Partially Linear Regression Models With Heteroscedasticity

Chen, Gemai and J. You

Canonical partitions of universal structures

Laflamme, Claude and Sauer, Norbert

Let $\mathbb{U}=(U,\mathfrak{L})$ be a universal binary countable homogeneous structure and $n\in \omega$. We determine the equivalence relation $\mathcal{C}(n)(\mathbb{U})$ on $[U]^n$ with the smallest number of equivalence classes $r$ so that each one of the classes is indivisible. As a consequence we obtain \[ \mathbb{U}\to (\mathbb{U})^n_{<\omega/r} \] and a characterization of the smallest number $r$ so that the arrow relation above holds. For the case of infinitely many colors we determine the canonical set of equivalence relations, extending the result of Erd\H{o}s and Rado for the integers to countable universal binary homogeneous structures.


Claim Size Processes

Cheung, Ka Chun and Hailiang Yang in Encyclopedia of Actuarial Science

Class numbers, quadratics, and exponential Diphantine equations

Mollin, Richard

Clean endomorphism rings

Nicholson, W. Keith, Varadarajan, K. and Zhou, Y.

Clean rings: A survey

Nicholson, W. Keith and Zhou, Y.

Clean rings: A survey

Nicholson, W. Keith and Zhou, Y.

Combination of general antithetic transformations and control variables

Lemieux, Christiane, Pierre L'Ecuyer and Hatem Ben-Ameur

Computing Average Run Lengths for the MaxEWMA Chart

Chen, Gemai and M.E. Calzada, S.M. Scariano

Constructions from empty polygons

Bisztriczky, Ted, K. Hosono, Gy. Karolyi and M. Urabe

Crop Responses to Air Quality in the West Central Region of Alberta: Foliar Injury Responses of Saskatoon Serviceberry (Amelanchier alnifolia Nutt.) and Yield Responses of Alfalfa (Medicago sativa L.)

Krupa, S. V., Nosal, Miloslav, Ryl, E. and Legge, A. H.

{$C\sp *$}-algebras associated with topological relations

Brenken, B.

Delay differential logistic equations with harvesting

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

Distinct distances in the plane

Toth, Csaba and József Solymosi

Distribution of words with a prede fined range of mismatches to a DNA probe in bacterial genomes, Bioinformatics:

Melko, Mike and Arcady R. Mushegian

Dividing polynomials when you only know their values

Amiraslani, Amirhossein

Effective Size and Loss of Heterozygosity on subdivided population

Gezahagne, Azamed

Effects of Foot Orthoses on the Musculoskeletal System of Recreational Runners: A Functional Data Analsysis Approach

Amuah, Joseph

Empirical likelihood for the additive risk model.

Lu, Xuewen and Qi, Yongcheng

Endomorphisms of type {I} von {N}eumann algebras with discrete center

Brenken, B.

Equivalence of inverse {S}turm-{L}iouville problems with boundary conditions rationally dependent on the eigenparameter

Binding, Paul, Browne, Patrick and Watson, Bruce

"Ergodic theory and its application to the analysis of nucleic acid sequences" Proceedings of the South Dakota Academy of Sciences 83: 55-63

Melko, Mike

Estimating the Value of Reduced Ozone Exposure on Managed Forests for the Air Quality Valuation Model, 1Natural Resources Canada

Nosal, Miloslav

EWMA Charts for Monitoring the Mean Censored Weibull Lifetimes

Chen, Gemai and Zhang, Lingyun

Good Orbital Integrals

Cunningham, Clifton and Hales, Thomas

Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in H^\infty

Brudnyi, Alex

Hamiltonian {H}opf bifurcation of the hydrogen atom in crossed fields

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

HIV/AIDS Modeling:A Case for Universal Medicaid in America

Aggarwala, Ben

Illuminating labyrinths

Toth, Csaba

Infinitely Many Quadratic Diophantine Equations Solvable Everywhere Locally but Not Solvable Globally

Mollin, Richard

Influence of a commercial warm chlorinated water treatment and packaging on the shelf-life of ready-to-use lettuce

McKellar, R.C., Odumeru, J., Zhou, T., Harrison, A., Mercer, D.G., Young, J.C., Lu, Xuewen, Boulter, J., Piyasena, P. and Karr, S.

Inverse Modeling of Aerosol Dynamics: Condensational Growth

Henze, D. K., Seinfeld, J.H., Liao, Wenyuan, Sandu, Adrian and Carmichael, G.R.

JPEG compression of stereoscopic digital images for diagnosis of diabetic retinopathy via tele-ophthalmology

Baker, C, Rudnisky, CJ, Tennant, M, Sanghera, P, Hinz, B, de Leon, Alexander and Greve, M

Large transversals to small families of unit disks

Bisztriczky, Ted

Maximal asymptotic biases of M-estimators of location with preliminary scale estimates

Collins, John and Szatmari-Voicu, Daniela

Millennial-scale Relationships of Diatom Species Richness and Production in Two Prairie Lakes

Chen, Gemai and J. Rusak, P. Leavitt, S. McGowan, O. Olson, S. Wunsam

Modeling of Variance and Volatility Swaps for Fiancial Markets with Stochastic Volatility

Swishchuk, Anatoliy

Modern algebra with applications

Gilbert, William J. and Nicholson, W. Keith

Modified censored moment estimation for the two-parameter Birnbaum–Saunders distribution

Wang, Z., Desmond, A.F. and Lu, Xuewen

Monodromy in the resonant swing spring

Dullin, Holger, Giacobbe, Andrea and Cushman, Richard

Monodromy of the quantum {$1:1:2$} resonant swing spring

Giacobbe, A., Cushman, Richard, Sadovski{\'{\i}}, D. A. and Zhilinski{\'{\i}}, B. I.

On {B}ohl-{P}erron type theorems for linear difference equations

Berezansky, L. and Braverman, Elena

On coincidence points of mappings of torus to a surface

Bogatyi, Semeon, Kudryavtseva, Elena and Zieschang, Heiner

On impulsive {B}everton-{H}olt difference equations and their applications

Berezansky, Leonid and Braverman, Elena

On oscillation of nonlinear delay equations of population dynamics

Berezansky, Leonid, Braverman, Elena and Idels, Lev

On seven points in the boundary of a plane convex body in large relative distances

Langi, Zsolt

By the relative distance of points $p$ and $q$ of a convex body $C$ we mean the ratio of the Euclidean length of the segment $pq$ to the half of the Euclidean length of a longest chord of C parallel to $pq$. We show that in the boundary of every plane convex body there exist seven points in pairwise relative distances at least $2 \over 3$. We also give an estimate in case of three points.


On the Secruity of the BB84 Quantum Key Distribution Protocol

Cannings, Richard and Cannings, Richard

Ordering optimal proportions in the asset allocation problem with dependent default risks

Cheung, Ka Chun and Yang, Hailiang

Preliminary Test Estimation of the Parameters of Simple Linear Model with Measurement Error

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

Pricing Options and Variance Swaps in Markov-Modulated Brownian and Fractional Brownian Markets

Swishchuk, Anatoliy and Elliott, Robert

Principal rings with the dual of the isomorphism theorem

Nicholson, W. Keith and Campos, E.

Projections in the space H^\infty and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces

Brudnyi, Alex

Quadruple trigonometrical series equations and their application to an inclusion problem in the theory of elasticity

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

Radical classes of polynomial rings

Khan, Muhammad Ali and M. Aslam

Ramsey degrees of finite ultrametric spaces, Ultrametric Urysohn spaces and dynamics of their isometry groups

Nguyen Van Thé, Lionel

Rational methods for recognizing generalized homogeneous functors

Bauer, Kristine and McCarthy, Randy

Realization of primitive branched coverings over closed surfaces

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

Remote Preparation and Distribution of Bipartite Entangled States

Gour, Gilad and Sanders, Barry

Rings in which elements are uniquely the sum of an idempotent and a unit

Nicholson, W. Keith and Zhou, Y.

Rings with the dual of the isomorphism theorem

Nicholson, W. Keith and Sanchez Campos, E.

Root vectors for geometrically simple two-parameter eigenvalues

Binding, Paul and Ko{\v{s}}ir, Toma

Simple curves on surfaces and an analog of a theorem of Magnus for surface groups

Bogopolski, Oleg V., Kudryavtseva, Elena and Zieschang, Heiner

Sphere packings in 3-space

Bezdek, Karoly in

Testing regression models: a strong martingale approach

Burke, Murray

Tests of transformation in nonlinear regression

Yang, Zhenlin and Chen, Gemai

The arithmetic of certain cubic function fields

Bauer, Mark

In this paper, we discuss the properties of curves of the form $y^3=f(x)$ over a given field K of characteristic different from 3. If $f(x)$ satisfies certain properties, then the Jacobian of such a curve is isomorphic to the ideal class group of the maximal order in the corresponding function field. We seek to make this connection concrete and then use it to develop an explicit arithmetic for the Jacobian of such curves. From a purely mathematical perspective, this provides explicit and efficient techniques for performing arithmetic in certain ideal class groups which are of fundamental interest in algebraic number theory. At the same time, it provides another source of groups which are suitable for Diffie-Hellman type protocols in cryptographic applications.


The Conductor of Lecacheux\'s Parametric Family of Cyclic Quintic Fields

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

A formula for the conductor of Lecacheux\'s parametric family of cylic quintic fields is given.


The Kneser-Poulsen Conjecture for Spherical Polytopes

Bezdek, Karoly and Connelly, Robert

If a finite set of balls of radius pgr/2 (hemispheres) in the unit sphere Sn is rearranged so that the distance between each pair of centers does not decrease, then the (spherical) volume of the intersection does not increase, and the (spherical) volume of the union does not decrease. This result is a spherical analog to a conjecture by Kneser (1954) and Poulsen (1955) in the case when the radii are all equal to pgr/2.


The odd symplectic group in geometry

Bates, Larry and Cushman, Richard

The {R}eissner-{S}agoci type problem for a non-homogeneous elastic cylinder embedded in an elastic non-homogeneous half-space

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

When the Central Norm is 2 in the Simple Continued Fraction Expansion of a Quadratic Surd

Mollin, Richard

Winning ways for your mathematical plays. {V}ol. 4

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