# School of Mathematical and Statistical Sciences Faculty Publications and Presentations

### Submissions from 2021

Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation, Karen Yagdjian and Anahit Galstian

A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors, Jiaopeng Yang, Zhaosheng Feng, and Zhengrong Liu

Road network detection based on improved FLICM-MRF method using high resolution SAR images, Lamei Zhang, Chenwei Jiang, Bin Zou, and Zhijun Qiao

Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space, Lei Zhang and Zhijun Qiao

Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting, Zhihong Zhao, Yan Li, and Zhaosheng Feng

A note on “traveling wave solutions of a nonlocal dispersal predator–prey model with spatiotemporal delay” [Z. Angew. Math. Phys. (2018) 69:146], Zhihong Zhao, Xiangkui Zhao, and Zhaosheng Feng

Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model, Mingxuan Zhu, Lu Cao, Zaihong Jiang, and Zhijun Qiao

A high-precision SAR echo simulation method based on FDTD, Bin Zou, Yanqiu Jia, and Zhijun Qiao

Non-Archimedean Models of Morphogenesis, Wilson A. Zuniga-Galindo

### Submissions from 2020

LOCAL WELL-POSEDNESS AND BLOW-UP FOR A FAMILY OF U(1)-INVARIANT PEAKON EQUATIONS, Stephen C. Anco, Huijun He, and Zhijun Qiao

Effect of Hydraulic Resistivity on a Weakly Nonlinear Thermal Flow in a Porous Layer, Dambaru Bhatta and Daniel N. Riahi

Tilings by hexagonal prisms and embeddings into primitive cubic networks, Mikhail M. Bouniaev, Nikolay Dolbilin, and Mikhail I. Shtogrin

Embedding parallelohedra into primitive cubic networks and structural automata description, Mikhail M. Bouniaev and Sergey V. Krivovichev

Cartan’s Approach to Second Order Ordinary Differential Equations, Paul Bracken

Classical and Quantum Integrability: A Formulation That Admits Quantum Chaos, Paul Bracken

Delaunay surfaces expressed in terms of a Cartan moving frame, Paul Bracken

Entropy in Quantum Mechanics and Applications to Nonequilibrium Thermodynamics, Paul Bracken

Introductory Chapter: Dynamical Symmetries and Quantum Chaos, Paul Bracken

OPTIMAL QUANTIZATION FOR DISCRETE DISTRIBUTIONS, Russel Cabasag, Samir Huq, Eric Mendoza, and Mrinal Kanti Roychowdhury

Optimal control with MANF treatment of photoreceptor degeneration, Erika T. Camacho, Suzanne Lenhart, Luis A. Melara, M. Cristina Villalobos, and Stephen Wirkus

SOLUTION OF THE RECONSTRUCTION-OF-THE-MEASURE PROBLEM FOR CANONICAL INVARIANT SUBSPACES, Raul E. Curto, Sang H. Lee, and Jasang Yoon

Periodic triangulations of Zn, Mathieu Dutour Sikiric and Alexey Garber

On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5, Mathieu Dutour Sikiric, Alexey Garber, and Alexander Magazinov

Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime, Anahit Galstian and Karen Yagdjian

The global existence of small self-interacting scalar field propagating in the contracting universe, Anahit Galstian and Karen Yagdjian

CONCRETE POLYTOPES MAY NOT TILE THE SPACE, Alexey Garber and Igor Pak

Association of Visceral Adipose Tissue and Subclinical Atherosclerosis in US-Born Mexican Americans but not First Generation Immigrants, Clarence Gill, Miryoung Lee, Kristina Vatcheva, Nahid Rianon, Beverly Smulevitz, David D. McPherson, Joseph B. Mccormick, Susan P. Fisher-Hoch, and Susan T. Laing

Solving parametric radical equations with depth 2 rigorously using the restriction set method, Eleftherios Gkioulekas

The role of the asymmetric Ekman dissipation term on the energetics of the two-layer quasi-geostrophic model, Eleftherios Gkioulekas

Contact graphs of ball packings, Alexey Glazyrin

Repeated Minimizers of $p$-Frame Energies, Alexey Glazyrin and Josiah Park

Level 17 Ramanujan-Sato Series, Timothy Huber, Daniel Schultz, and Dongxi Ye

Energy Spectrum of Linear Internal Wave Field in the Vicinity of Continental Slope, Ranis N. Ibragimov, Austin Biondi, Nathan Arndt, Maria Castillo, Guang Lin, Vesselin Vatchev, and Sheng Zhang

Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles, Md Rafiul Islam, Angela Peace, Daniel Medina, and Tamer Oraby

Racial inequality in the trauma of women: A disproportionate decade, Shawn Izadi, Niral Patel, Demba Fofana, Anghela Z. Paredes, Samuel K. Snyder, Annelyn Torres-Reveron, and Jeffrey Skubic

Screening Potential Citrus Rootstocks for Phytophthora nicotianae Tolerance, Madhurababu Kunta, Sandy Chavez, Zenaida Viloria, Hilda S. del Rio, Madhavi Devanaboina, George Yanev, Jong-Won Park, and Eliezer S. Louzada

Subnormality of Powers of Multivariable Weighted Shifts, Sang Hoon Lee, Woo Young Lee, and Jasang Yoon

Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness, Michael R. Lindstrom and Andrea L. Bertozzi

Functional Kernel Density Estimation: Point and Fourier Approaches to Time Series Anomaly Detection, Michael R. Lindstrom, Hyuntae Jung, and Denis Larocque

Schrödinger-Poisson systems with singular potential and critical exponent, Senli Liu, Haibo Chen, and Zhaosheng Feng

Surviving Mathematics, Nathalie M. Luna

Homotopy groups and quantitative Sperner-type lemma, Oleg R. Musin

Analysis of the Healthcare MERS-CoV Outbreak in King Abdulaziz Medical Center, Riyadh, Saudi Arabia, June–August 2015 Using a SEIR Ward Transmission Model, Tamer Oraby, Michael G. Tyshenko, Hanan H. Balkhy, Yasar Tasnif, Adriana Quiroz-Gaspar, Zeinab Mohamed, Ayesha Araya, Susie Elsaadany, Eman Al-Mazroa, Mohammed A. Alhelail, Yaseen M. Arabi, and Mustafa Al-Zoughool

Drug delivery in catheterized arterial blood flow with atherosclerosis, Saulo Orizaga, Daniel N. Riahi, and Jose R. Soto

HIV-Associated Neurocognitive Disorder (HAND) Biomarker Identification: Significance Analysis of Microarrays and Two Persuasive Approaches with Random Forest, Hansapani Rodrigo, Bryan Martinez, Roberto De La Garza, and Upal Roy

Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems, Joseph Rosenblatt and Mrinal Kanti Roychowdhury

Optimal Quantization Via Dynamics, Joseph Rosenblatt and Mrinal Kanti Roychowdhury

The quantization of the standard triadic Cantor distribution, Mrinal Kanti Roychowdhury

Topological Pressure and Fractal Dimensions of Cookie-Cutter-Like Sets, Mrinal Kanti Roychowdhury

Quantization for a Mixture of Uniform Distributions Associated with Probability Vectors, Mrinal Kanti Roychowdhury and Wasiela Salinas

Local Dimensions and Quantization Dimensions in Dynamical Systems, Mrinal Kanti Roychowdhury and Bilel Selmi

A study on Quantization Dimension in complete metric spaces, Mrinal Kanti Roychowdhury and S. Verma

Characterizing quantum physics students’ conceptual and procedural knowledge of the characteristic equation, Kaitlyn Stephens Serbin, Brigitte Johana Sánchez Robayo, Julia Victoria Truman, Kevin Lee Watson, and Megan Wawro

Extreme events and emergency scales, Veniamin Smirnov, Zhuanzhuan Ma, and Dimitri Volchenkov

A Single-center Comparison Using Exoskeleton Rehabilitation for Cerebrovascular Accidents and Traumatic Brain Injury in a Cohort of Hispanic Patients, Lisa R. Trevino, Kristina Vatcheva, Michael E. Auer, Angela Morales, Lama M. Abdurrahman, Sarajova Viswamitra, and Annelyn Torres-Reveron

Mathematical modeling of nonlinear blood glucose-insulin dynamics with beta cells effect, Gabriela Urbina, Daniel N. Riahi, and Dambaru Bhatta

Sex and age differences in prevalence and risk factors for prediabetes in Mexican-Americans, Kristina Vatcheva, Belinda M. Reininger, Susan P. Fisher-Hoch, and Joseph B. Mccormick

Classification of radial solutions to equations related to Caffarelli–Kohn–Nirenberg inequalities, John Villavert

Biomedical Freshman Research Initiative: A Course-based Undergraduate Research Experience at a Hispanic-Serving Institution, Natasha J. Vora, Kristina Vatcheva, Manuel G. Saldivar, Saraswathy Nair, Michael Lehker, and Sue Anne Chew

A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions, Gangwei Wang, Kaitong Yang, Haicheng Gu, Fei Guan, and A. H. Kara

Burnside chromatic polynomials of group-invariant graphs, Jacob A. White

On Cohen-Macaulay Hopf monoids in species, Jacob A. White

An effective method to obtain contour of fisheye images based on explicit level set method, Xuegang Wu and Zhijun Qiao

Exponential and Hypoexponential Distributions: Some Characterizations, George Yanev

On Arnold–Villasenor conjectures for characterizaing exponential distribution based on sample of size three, George Yanev

Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities, Jie Yang, Haibo Chen, and Zhaosheng Feng

Weighted Lp(⋅) -regularity for fully nonlinear parabolic equations, Junjie Zhang, Shenzhou Zheng, and Zhaosheng Feng

Existence and stability of the doubly nonlinear anisotropic parabolic equation, Huashui Zhan and Zhaosheng Feng

STABILITY OF ANISOTROPIC PARABOLIC EQUATIONS WITHOUT BOUNDARY CONDITIONS, Huashui Zhan and Zhaosheng Feng

### Submissions from 2019

Joint spectra of spherical Aluthge transforms of commuting n-tuples of Hilbert space operators, Chafiq Benhida, Raul E. Curto, Sang Hoon Lee, and Jasang Yoon

The effect of Hispanic ethnicity on surgical outcomes: An analysis of the NSQIP database., Monica Betancourt-Garcia, Kristina Vatcheva, Prateek Gupta, Ricardo D. Martinez, Joseph B. McCormick, Susan P. Fisher-Hoch, and R. Armour Forse

Diabetes and Its Effect on Abdominal Aortic Aneurysm Growth Rate in Hispanic Patients, Monica Betancourt-Garcia, Kristina Vatcheva, Amrit Thakur, Prateek Gupta, Eugene Postevka, Ricardo Martinez, and R. Armour Forse

Metric geometry and the determination of the Bohmian quantum potential, Paul Bracken

On a Class of Parameter Dependent Series Generalizing Euler’s Constant, Paul Bracken

Properties of a class of mean dependent on a parameter, Paul Bracken

Shape Equations for Two-Dimensional Manifolds through a Moving Frame Variational Approach, Paul Bracken

The Generalized Weierstrass System in Three-Dimensional Euclidean Space, Paul Bracken

High-order rogue waves of a long-wave–short-wave model of Newell type, Jungchao Chen, Liangyuan Chen, Bao-Feng Feng, and Ken-ichi Maruno

Connections between Pre-service Teachers’ Mathematical Dispositions and Self-efficacy for Teaching Mathematics, Jasmine M. Cruz, Aaron T. Wilson, and Xiaohui Wang

Investigation of Constant Volume and Constant Flux Initial Conditions on Bidensity Particle-Laden Slurries on an Incline, Dominic Diaz, Jessica Bojorque, Joshua Crasto, Margaret Koulikov, Tameez Lati, Aviva Prins, Andrew Shapiro, Clover Ye, David Arnold, and Michael R. Lindstrom

On the regularity radius of Delone sets in R3, Nikolay Dolbilin, Alexey Garber, Undine Leopold, and Egon Schulte

Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background, Bao-Feng Feng, Liming Ling, and Daisuke A. Takahashi

Experimental Demonstration of Deterministic Chaos in a Waste Oil Biodiesel Semi-Industrial Furnace Combustion System, Shengyang Gao, Fashe Li, Qintai Xiao, Jianxin Xu, Huage Wang, and Hua Wang

VORONOI CONJECTURE FOR FIVE-DIMENSIONAL PARALLELOHEDRA, Alexey Garber and Alexander Magazinov

Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion, Qiaoyi Hu and Zhijun Qiao

Attitudes toward Using and Teaching Confidence Intervals: A Latent Profile Analysis on Elementary Statistics Instructors, Hyung Won Kim, Woo Jin Kim, Aaron T. Wilson, and Ho Kyoung Ko

Blocks in the category of finite-dimensional representations of principal W-algebra for Q(2), Elena Poletaeva

“Diabesity” among Latinos: A Culturally Relevant Mathematics Activity by a Mathematics Teacher Candidate, Olga Ramirez and Cherie McCollough

Optimal quantization for the Cantor distribution generated by infinite similutudes, Mrinal Kanti Roychowdhury

Assessment of Gestational Diabetes Mellitus Outcomes for Hispanic Women Living in the Rio Grande Valley, Norma Somohano-Mendiola, Jane D. Champion, and Kristina Vatcheva

Statin Prescription for Patients With Atherosclerotic Cardiovascular Disease from National Survey Data, Kristina Vatcheva, Vicente Aparicio, Ayesha Araya, Eduardo Gonzalez, and Susan T. Laing

Fast equilibration dynamics of viscous particle-laden flow in an inclined channel, Jeffrey Wong, Michael R. Lindstrom, and Andrea L. Bertozzi

Solutions of evolutionary equation based on the anisotropic variable exponent Sobolev space, Huashui Zhan and Zhaosheng Feng

### Submissions from 2018

On the origin of crystallinity: a lower bound for the regularity radius of Delone sets, Igor A. Baburin, Mikhail M. Bouniaev, Nikolay Dolbilin, Nikolay Yu. Erokhovets, Alexey Garber, Sergey V. Krivovichev, and Egon Schulte

Linear Stability Analysis with Solution Patterns due to Varying Thermal Diffusivity for a Convective Flow in a Porous Medium, Dambaru Bhatta

Solution of mathematical model for gas solubility using fractional-order Bhatti polynomials, Muhammad I. Bhatti, Paul Bracken, Nicholas Dimakis, and Armando Herrera

The Local Theory for Regular Systems in the Context of t-Bonded Sets, Mikhail M. Bouniaev and Nikolay Dolbilin

A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space, Paul Bracken

Cartan frames and algebras with links to integrable systems differential equations and surfaces, Paul Bracken

Using restrictions to accept or reject solutions of radical equations, Eleftherios Gkioulekas