School of Mathematical and Statistical Sciences Faculty Publications and Presentations

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

 

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Submissions from 2021

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On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices, Alexey Garber

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Continuous-time controlled branching processes, Ines Garcia, George Yanev, Manuel Molina, Nikolay Yanev, and Miguel Velasco

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Covering by homothets and illuminating convex bodies, Alexey Glazyrin

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Domes over Curves, Alexey Glazyrin and Igor Pak

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Controlled Branching Processes with Continuous Time, Miguel Gonzalez, Manuel Molina, Ines Del Puerto, Nikolay Yanev, and George Yanev

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Isometric Flows of G 2-structures, Sergey Grigorian

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Smooth loops and loop bundles, Sergey Grigorian

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Quantization coefficients for uniform distributions on the boundaries of regular polygons, Joel Hansen, Itzamar Marquez, Mrinal Kanti Roychowdhury, and Eduardo Torres

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Arithmetic properties of septic partition functions, Timothy Huber, Mayra Huerta, and Nathaniel Mayes

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Visualization of Exact Invariant Solutions Associated with Atmospheric Waves in a Thin Circular Layer, Ranis N. Ibragimov, Lauren D. Mongrain, Benjamin Stimmel, Olga Trozkaya, Guang Lin, Sheng Zhang, Vesselin Vatchev, and Daniel Stankiewicz

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CORRELATION BETWEEN NO-SLIP AND SLIP BOUNDARY CONDITIONS ASSOCIATED WITH A TWO-DIMENSIONAL NAVIER-STOKES FLOWS IN A PLANE DIFFUSER, Ranis Ibragimov and Vesselin Vatchev

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Evaluation of the United States COVID-19 vaccine allocation strategy, Md Rafiul Islam, Tamer Oraby, Audrey McCombs, Mohammad Mihrab Chowdhury, Mohammad Al-Mamun, Michael G. Tyshenko, and Claus KadelkaI

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Mitigating the externality of diseases of poverty through health aid, Kamal Jnawali, Michael G. Tyshenko, and Tamer Oraby

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Globally conservative solutions for the modified Camassa–Holm (MOCH) equation, Zhaonan Luo, Zhijun Qiao, and Zhaoyang Yin

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Existence results for nonlinear Schrodinger equations involving the fractional (p, q)-Laplacian and critical nonlinearities, Huilin Lv, Shenzhou Zheng, and Zhaosheng Feng

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Modeling the effect of lockdown timing as a COVID‑19 control measure in countries with differing social contacts, Tamer Oraby, Michael G. Tyshenko, Jose Campo Maldonado, Kristina Vatcheva, Susie Elsaadany, Walid Q. Alali, Joseph C. Longenecker, and Mustafa Al‑Zoughool

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Pseudo-peakons and Cauchy analysis for an integrable fifth-order equation of Camassa-Holm type, Enrique G. Reyes, Mingxuan Zhu, and Zhijun Qiao

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Exploratory Data Mining Techniques (Decision Tree Models) for Examining the Impact of Internet-Based Cognitive Behavioral Therapy for Tinnitus: Machine Learning Approach, Hansapani Rodrigo, Eldré W. Beukes, Gerhard Andersson, and Vinaya Manchaiah

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Internet-based cognitive–behavioural therapy for tinnitus: secondary analysis to examine predictors of outcomes, Hansapani Rodrigo, Eldré W. Beukes, Gerhard Andersson, and Vinaya Manchaiah

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Negative Order KdV Equation with No Solitary Traveling Waves, Miguel Rodriguez, Jing Li, and Zhijun Qiao

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OPTIMAL QUANTIZATION FOR MIXED DISTRIBUTIONS, Mrinal Kanti Roychowdhury

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Characterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanics, Kaitlyn Stephens Serbin, Megan Wawro, and Rebecah Storms

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CMMSE on explicit and numerical solutions for stochastic PDEs: Fisher and Burgers equations, Erwin Suazo, Tamer Oraby, and Jose Palacio

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Lions-type theorem of the p-Laplacian and applications, Yu Su and Zhaosheng Feng

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Analysis of intervention effectiveness using early outbreak transmission dynamics to guide future pandemic management and decision-making in Kuwait, Michael G. Tyshenko, Tamer Oraby, Joseph C. Longenecker, Harri Vainio, Janvier Gasana, Walid Q. Alali, Mohammad AlSeaidan, Susie ElSaadany, and Mustafa Al-Zoughool

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Social distancing and testing as optimal strategies against the spread of COVID-19 in the Rio Grande Valley of Texas, Kristina P. Vatcheva, Josef A. Sifuentes, Tamer Oraby, Jose Campo Maldonado, Timothy Huber, and Cristina Villalobos

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Nivelando el Campo Educativo [Leveling the Educational Field], Cristina Villalobos, Timothy Huber, Jose Ponce, and Josef A. Sifuentes

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On problems with weighted elliptic operator and general growth nonlinearities, John Villavert

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Chromatic Quasisymmetric Class Functions for combinatorial Hopf monoids, Jacob A. White

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The Chromatic Quasisymmetric Class Function of a Digraph, Jacob A. White

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Huygens' principle for the generalized Dirac operator in curved spacetime, Karen Yagdjian

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

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

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p-adic Cellular Neural Networks, B. A. Zambrano-Luna and Wilson A. Zuniga-Galindo

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

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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

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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

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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

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

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

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

Submissions from 2020

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

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

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

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

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

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

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

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

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Introductory Chapter: Dynamical Symmetries and Quantum Chaos, Paul Bracken

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

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

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

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Periodic triangulations of Zn, Mathieu Dutour Sikiric and Alexey Garber

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

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

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

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

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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

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

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

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Contact graphs of ball packings, Alexey Glazyrin

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

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

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Ramanujan type congruences for quotients of level 7 Klein forms, Timothy Huber and Dongxi Ye

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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

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

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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

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

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

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Surviving Mathematics, Nathalie M. Luna

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

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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

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

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Quantization for Uniform Distributions on Hexagonal, Semicircular, and Elliptical Curves, Gabriela Pena, Hansapani Rodrigo, Mrinal Kanti Roychowdhury, Josef A. Sifuentes, and Erwin Suazo

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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

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

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Optimal Quantization Via Dynamics, Joseph Rosenblatt and Mrinal Kanti Roychowdhury

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

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

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

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

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

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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

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

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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

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Social and Health Risk Factor Levels of Preschool Children Living Along the Texas-Mexico Border, Roberto Treviño-Peña, Xiaohui Wang, Lin Wang, Zasha Romero, Elizabeth Alanis, and Huimin Li

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

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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

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Coordinating STEM Core Courses for Student Success, Cristina Villalobos, Hyung Won Kim, Timothy J. Huber, Roger Knobel, Shaghayegh Setayesh, Lekshmi Sasidharan, Anahit Galstyan, and Andras Balogh

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

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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

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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

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

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

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

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Exponential and Hypoexponential Distributions: Some Characterizations, George Yanev

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

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

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