Mathematics Across Contemporary Sciences

1. Front Matter

   Pages i-x

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2. The Lusternik-Schnirelmann Category for a Differentiable Stack

   • Samirah Alsulami, Hellen Colman, Frank Neumann

   Pages 1-15

3. Centrosymmetric, and Symmetric and Hankel-Symmetric Matrices

   • Richard A. Brualdi, Shi-Mei Ma

   Pages 17-31

4. Partially Independent Random Variables

   • Costanza Catalano, Alberto Gandolfi

   Pages 33-56

5. Sobol Sensitivity: A Strategy for Feature Selection

   • Dmitry Efimov, Hana Sulieman

   Pages 57-75

6. Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics

   • Jon Pierre Fortney

   Pages 77-90

7. On a New Class of Variational Problems

   • Hichem Hajaiej

   Pages 91-109

8. A Scientific Tour on Orthogonal Arrays

   • A. S. Hedayat

   Pages 111-135

9. Hoffman’s Coclique Bound for Normal Regular Digraphs, and Nonsymmetric Association Schemes

   • Hadi Kharaghani, Sho Suda

   Pages 137-150

10. A Suspension Bridge Problem: Existence and Stability

    • Salim A. Messaoudi, Soh Edwin Mukiawa

    Pages 151-165

11. An Interpolation-Based Approach to American Put Option Pricing

    • Greg Orosi

    Pages 167-175

12. Stable Homotopy Groups of Moore Spaces

    • Inès Saihi

    Pages 177-192

13. Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes

    • Minjia Shi, Yiping Zhang, Patrick Solé

    Pages 193-206

14. Factorization of Computations in Bayesian Networks: Interpretation of Factors

    • Linda Smail, Zineb Azouz

    Pages 207-226

15. Optimal Drug Treatment in a Simple Pandemic Switched System Using Polynomial Approach

    • Abdessamad Tridane, Mohamed Ali Hajji, Eduardo Mojica-Nava

    Pages 227-240

16. On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual \( H^{1}\) Penalty Model for Image Restoration

    • Thomas Wunderli

    Pages 241-259

This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region.

• 62P06, 35A99, 05B20, 55M30, 94C99, 60A06
• Mathematical Applications
• Linear and Multilinear Algebras
• Matrix Theory
• Analysis
• Symmetric matrices
• Variational problems
• Semi-linear problems
• Machine learning

• Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates

  Taher Abualrub, Hana Sulieman

• Department of Mathematics and Statistics, American University of Sharjah , Sharjah, United Arab Emirates

  Abdul Salam Jarrah

• Department of Mathematics, Université de Lille 1, Lille, France

  Sadok Kallel

Sadok Kallel holds a PhD in Mathematics from Stanford University (1994) and a Bachelor’s degree in Electrical Engineering from Michigan State University. He is currently a faculty member at the American University of Sharjah and a research fellow with the “Laboratoire Painlevé” at the University of Lille 1 in France, where he was a faculty member from 1999 to 2011. His main research interests are in algebraic and differential topology, in particular in configuration spaces and loop space theory, with a focus on applications to nonlinear analysis and mathematical physics. He is also the director of the “Mediterranean Institute for the Mathematical Sciences” in Tunis, Tunisia, and the managing editor for the journal GSMD (Graduate Student Mathematical Diary).

Taher Abualrub is a Professor of Mathematics at the American University of Sharjah. He received his Master and PhD degrees in Mathematics from the University of Iowa, USA, in 1994 and 1998, respectively. In 1998 he also joined the American University of Sharjah (AUS) as an Assistant Professor in the department of Mathematics and Statistics. His current research interests include error correcting codes, DNA computing, wavelet theory, and control theory. He serves as a reviewer for several scientific journals including Math Review, IEEE Transactions on Information Theory, Applied Discrete Mathematics, and Journal of the Franklin Institute, and has published over 45 refereed journal articles and conference proceedings papers.

Hana Sulieman is a Professor of Statistics and Head of the Department of Mathematics and Statistics at the American University of Sharjah in the United Arab Emirates (UAE). Before joining the AUS, she was an associate researcher at Queen’s University, Kingston, Canada, where she also completed her PhD in Applied Statistics. She has many years of experience in Statistical consulting in Canada and the UAE.  Her primary research interests are sensitivity analysis in nonlinear parameter estimation and statistical design of experiments. Through consulting activities, she has also developed other research interests related to statistical applications and modeling in the health sciences and education. She has authored numerous publications in international peer reviewed journals and given many presentations at international and regional conferences. Further, she is a regular reviewer for international journals in the fields of applied statistics and data analysis.   

Abdul Salam Jarrah is a Professor of Mathematics at the American University of Sharjah (AUS) in the United Arab Emirates. Before joining the AUS, he was a senior research scientist at the Virginia Bioinformatics Institute at Virginia Tech, USA. He received his PhD in Mathematics from New Mexico State University in 2002. His current research interests include discrete dynamical systems, computational algebra, and their applications in biology, especially the modeling and simulation of biological systems. He has made valuable contributions to these fields through many publications in international journals. He also serves as a reviewer for several scientific journals including Mathematical Biosciences, Bulletin of Mathematical Biology, and IEEE Transactions on Computational Biology.

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