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Department of Math and Statistics Research

Faculty Research

Mathematics & Statistics Scholarship 

Selected Peer‑Reviewed Journal Articles

Beyza Aslan

  • Aslan, B. Modeling the change in electric potential due to lightning in one-dimensional space. Appl. Anal. 101(17), 6280–6296.
  • Aslan, B. Crocheting Mathematics through COVID‑19. Journal of Humanistic Mathematics 11(2), 286–290.
  • Aslan, B. Another Approach: Modeling the Change in Electric Potential Due to Lightning in One-Dimensional Space by Using Green’s Function. Filomat (2024) 38(31), 10975–10982.
  • Aslan, B. (2025). Mathematics of Crocheting an Islamic Geometric Design. J. Math. Arts, 1-12, doi: 10.1080/17513472.2025.2576838.
  • Heppe, M., Akan, C., Schedel A., Crowley R., & Aslan, B. (2025). Evaluating Coastal Vulnerability and Resilience in Northeastern Florida and the St. Johns River. Shore and Beach, 93(3), 17-33.
  • Aslan, B. (2021). Application of support vector machines to diagnosis of late-onset Glutaric Acidemia Type 2 (GA2). EJMAA, 9(2), 265-272.

Denis Bell

  • Bell, D. Limit Distribution of a singular sequence of Ito integrals. In: A Lifetime of Excursions Through Random Walks and Lévy Processes, Springer Birkhäuser, 78, 83–86.
  • Bell, D.; Bolanos, R.; Nualart, D. Limit theorems for singular Skorohod integrals. Theory Probab. Math. Statist. 102, 21–44.

Devrim Bilgili

Elena Buzaianu

  • Buzaianu, E. Selecting among treatments with two Bernoulli endpoints. Communications in Statistics – Theory and Methods. https://doi.org/10.1080/03610926.2022.2117557
  • Buzaianu, E. Modified information criterion for testing changes in generalized lambda distribution model based on confidence distribution. Communications for Statistics: Applications and Methods 39(3), 1–17.
  • Buzaianu, E.; Schmidt, C.K. A two-stage design for comparing binomial treatments with a standard. Sequential Anal. 41(4), 435–450.
  • Buzaianu, E.; Chen, P.; Hsu, L. A restricted subset selection procedure for selecting the largest normal mean under heteroscedasticity. Sequential Anal. 42(1), 56–69.
  • Buzaianu, E.; Chen, P.; Hsu, L. Curtailment Procedure for Selecting Among Treatments with Two Bernoulli Endpoints. Sankhya B 84, 320–339.
  • Buzaianu, E.M.; Chen, P.; Hsu, L. Selecting among treatments with two Bernoulli endpoints. Communications in Statistics – Theory and Methods 53(6), 2024.
  • Buzaianu, E.M.; Chen, P.; Hsu, L. A restricted subset selection procedure for selecting the largest normal mean under heteroscedasticity. Sequential Analysis 42(1), 2023.

Malgorzata Czerwinska

  • Patterson, R.; Czerwinska, M. Deferred Sequences Spaces Defined by a Moduluus. Southeast Asian Bulletin of Mathematics (2024) 48, 1–10.
  • Czerwinska, M.; Dumitru, R.; Franco, J.A. On the Chaotic Thompson Metric of Matrices. Positivity 29(26), 2025.
  • Czerwinska, M.; Dumitru, R.; Franco, J.A. Lipschitz Type Continuity for Matrix Means. Journal of Mathematical Analysis and Applications 547(2), 2025.

Michelle DeDeo

  • DeDeo, R. “On the Energy of Transposition Graphs.” In: Hoffman, F. (ed.) Combinatorics, Graph Theory and Computing, pp. 305–316. Springer Proceedings in Mathematics & Statistics 388 (Sept 2022). Springer, Cham. doi: 10.1007/978-3-031-05375-7_23
  • Williams, C.; DeDeo, M. “Digital Communication Use before and during Covid among Residential Older Adults.” Geriatric Nursing 53 (Aug 2023), 116–121. doi: 10.1016/j.gerinurse.2023.07.005
  • Baker, M.; Bagwell, M.; DeDeo, M. et al. “Factors that Contribute to Hospital Readmissions after Arthroscopic Knee Surgeries: A Path for Shared Decision Making.” Knee Surgery, Sports Traumatology, Arthroscopy (Feb 23, 2022). doi: 10.1007/s00167-022-06919-2. PMID: 35199185.
  • Butler, M.; DeDeo, M.; Lambert, D.; Murphy, D. “Population and Nest Site Evidence for Diamondback Terrapins, Malaclemys terrapin, in Northeast Florida.” Frontiers in Ecology and Evolution 10:833199. doi: 10.3389/fevo.2022.833199
  • DeDeo, M.; Velasquez, E. The Heat Equation on the Poincaré Upper Half Plane. Proceedings of the American Mathematical Society 149(10), 4171–4180. doi: 10.1090/proc/15610
  • DeDeo, R.; Garg, M. “Early detection of pediatric seizures in the high gamma band.” IEEE Access (2021). doi: 10.1109/ACCESS.2021.3087782
  • DeDeo, R. “A Graph Energy Upper Bound using Spectral Moments.” Congressus Numerantium 232 (2019), 233–240.
  • Aulakh, M.; DeDeo, M.; Free, J.; Berdeguez, K.; Rosenfeld, S.; Quinones-Hinojosa, A.; Chanan-Khan, A.; Ailawadhi, S. “Survival trends in glioblastoma and association with treating facility volume.” Journal of Clinical Neuroscience 68 (Oct 2019), 271–274. doi: 10.1016/j.jocn.2019.04.028
  • Shapiro, S.D.; DeDeo, M.; Barnes, A. “Strategies for Influenza Outbreak Management in a US Residential Summer Camp Communal Housing: A Comparative Analysis of Targeted Antiviral Prophylaxis.” (2025). Journal of Community Health Nursing, 1–15.

Dan Dreibelbis

  • Dreibelbis, D. Harmonic morphisms and their milnor fibrations.
  • Dreibelbis, D.; Olsen, W. Structure and transitions of line bitangencies in a family of surface pairs. Geom. 113, (2) 36, 29 pp.
  • Dreibelbis, D.; do Espirito, Santos, A.A.; Ribeiro, M.F.; Araujo dos Santos, R.N. A quick trip through fibration structures. Singul. 22, 134–158.

Alina Dumitru

  • Dumitru, R.; Franco, J.; Patterson, R. Regular methods of summability and the Banach-Saks property for double sequences. Filomat 35(5), 1489–1494.
  • Dumitru, R.; Franco, J. Geodesic in-betweenness for means of several matrices. Linear Algebra and Applications 636, 77–92.
  • Dumitru, R.; Franco, J. The Renyi power means of matrices. Linear Algebra Appl. 607, 45–57.
  • Dumitru, R.; Dinh, T.H.; Franco, J. On the matrix Heron means and Renyi divergences. Linear and Multilinear Algebra 70(8), 1442–1450.
  • Dumitru, R.; Dinh, T.H.; Franco, J. Some geometric properties of matrix means with respect to different metrics. Positivity 24(5), 1419–1434.
  • Dumitru, R.; Franco, J. Generalized Hellinger metric and Audenaert’s in-betweenness. Linear Algebra Appl. 585, 191–198.
  • Dumitru, R.; Franco, J. Fundamental theorems of summability theory for a new type of subsequences of double sequences. Class. Anal. 15(1), 23–33.
  • Dumitru, R.; Dinh, T.H.; Franco, J. On some trace inequalities. Inequal. Appl. 23(2), 467–476.
  • Dumitru, R.; Staicu, A.-M.; Islam, M.N.; Van Heugten, E. Longitudinal dynamic functional regression. J. R. Stat. Soc. Ser. C: Appl. Stat. 69(1), 25–46.
  • Czerwinska, M.; Dumitru, R.; Franco, J.A. On the Chaotic Thompson Metric of Matrices. Positivity 29(26), 2025.
  • Czerwinska, M.; Dumitru, R.; Franco, J.A. Lipschitz Type Continuity for Matrix Means. Journal of Mathematical Analysis and Applications 547(2), 2025.

Jose Franco

  • Franco, J.; multiple co‑authored works also listed under Dumitru.

Daniela Genova

  • Genova, D. Unconventional computation and natural computation, 20th International Conference 2023, Jacksonville, FL, USA. Lecture Notes in Computer Science (LNCS), Springer, vol. 14003.
  • Genova, D.; Hoogeboom, H.; Kleijn, J. Comparing Reactions in Reaction Systems. Theoretical Computer Science 881, 83–96.
  • Genova, D.; Hoogeboom, H.J.; Jonoska, N. Companions and an essential motion of a reaction system. Inform. 175(1–4), 187–199.
  • Genova, D.; Hoogeboom, H.J.; Prodanoff, Z. Extracting reaction systems from function behavior. Membrane Computing 2(3), 194–206.
  • Genova, D.; Kari, J. (eds.) Unconventional Computation and Natural Computation 2023. Lecture Notes in Computer Science, Volume 14003 (Springer, 2023).
  • Genova, D.; Hoogeboom, H.J.; Kleijn, J. Functional Equivalence and a Cover Relation for Reaction Systems. Theoretical Computer Science, Elsevier, Vol. 1004, Article 114633 (2024). https://doi.org/10.1016/j.tcs.2024.114633
  • Genova, D.; Petre, I. Preface, Natural Computing. Springer, Vol. 23(2), 157–158 (2024). https://doi.org/10.1007/s11047-024-09991-4
  • Farrell, D.; Genova, D.; Strickley, S. Minimizing Cycles in Reaction Systems. In: Cho, D.J.; Kim, J. (eds.), Unconventional Computation and Natural Computation (UCNC 2024), Lecture Notes in Computer Science, Springer, Vol. 14776, pp. 237–252 (2024). https://doi.org/10.1007/978-3-031-63742-1_17

Tyler Grimes

  • Boissoneault, C.; Rose, D.K.; Grimes, T.; Waters, M.F.; Khanna, A.; Datta, S.; Daly, J.J. Trajectories of stroke recovery of impairment, function, and quality of life in response to 12‑month mobility and fitness intervention. NeuroRehabilitation 40(4), 573–584.
  • Grimes, T.; Datta, S. A novel probabilistic generator for large‑scale gene association networks. PLoS One (2021) 16(11): e0259193.
  • Grimes, T.; Datta, S. SeqNet: an R package for generating gene‑gene networks and simulating RNA‑seq data. Journal of Statistical Software 98(12). doi: 10.18637/jss.v098.i12
  • Ahn, S.; Grimes, T.; Datta, S. The analysis of gene expression data incorporating tumor purity information. Frontiers in Genetics 12:642759.

Sami Hamid

  • Hamid, S.; Gleaton, J.; Sa, P. Asymptotic properties of MLE’s of parameters of exponentiated exponential lifetime distributions. Statist. Theory Methods 51(22), 7856–7870.
  • Gleaton, J.; Sa, P.; Hamid, S. Asymptotic Properties of MLE’s for Distributions Generated from an Exponential Distribution by a Generalized Log‑Logistic Transformation. Journal of Probability and Statistical Science. DOI: 10.1080/03610926.2021.1882495
  • Pearcy, C.; Hamid, S. On Restrictions of Operators on Hilbert Space to a Half‑Space. Acta Scientiarum Mathematicarum 91, 219–225 (2025).
  • Hamid, S.; Patterson, R.F. Multi‑dimensional matrix characterization of (ℓ1, ℓ1) and Mercerian‑type theorem via matrix convolution. Bulletin of Mathematical Analysis and Applications 16(4) (2024), 116–129.
  • Hamid, S.; Patterson, R.F. Fundamental theorems of summability theory for double sequences via stretching by blocks. Journal of Inequalities and Applications (2024) 2024:143. https://doi.org/10.1186/s13660-024-03226-x
  • Hamid, S.; Patterson, R.F. Stretching Double Sequences by “Blocks”. Filomat 38(32) (2024), 11247–11257.
  • Sa, P.; Gleaton, J.; Hamid, S. Characteristics of the GLLE Family of Lifetime Distributions, and Applications. Journal of Probability and Statistical Science Vol. 22(1), 40–49 (2024).

Fei Heng

  • Heng, F.; Indergard, M.; Bellantuono, A.; Rodriguez‑Lanetty, M.; Gilg, M. Acclimation to elevated temperatures in Acropora cervicornis: effects of host genotype and symbiont shuffling. Marine Ecology Progress Series 701, 41–65.
  • Heng, F.; Shi, H.; Seegobin, K.; Zhou, K.; Chen, R.; Qin, H.; Manochakian, R.; Zhao, Y.; Lou, Y. Genomic landscape of lung adenocarcinomas in different races. Frontiers in Oncology.
  • Heng, F.; Qi, L.; Sun, Y.; Juraska, M.; Moodie, Z.; Magaret, C.A.; Carpp, L.S.; Gilbert, P.B. Neutralizing antibody correlates of sequence specific dengue disease in a tetravalent dengue vaccine efficacy trial in Asia. Vaccine 40(41), 5912–5923.
  • Heng, F.; Sun, Y.; Shou, Q.; Gilbert, P.; Qian, Z. Semiparametric additive time‑varying coefficients model for longitudinal data with censored time origin. Biometrics 79(2), 695–710. https://doi.org/10.1111/biom.13610
  • Heng, F.; Sun, Y.; Lee, U.; Gilbert, P. Estimation of conditional cumulative incidence functions under generalized semiparametric regression models with missing covariates with application to biomarker correlates analyses in vaccine trials. Canadian Journal of Statistics 51(1), 235–257. https://doi.org/10.1002/cjs.11693
  • Heng, F. Genomic characterization of primary versus metastatic lung adenocarcinoma. 16(10): S973.
  • Heng, F. Use of antibiotics is associated with an increase in immunotherapy related adverse effects in patients with non‑small cell lung cancer. 16(1): S1010.
  • Heng, F.; Sun, Y.; Hyun, S.; Gilbert, P. Analysis of the time‑varying Cox model for the cause‑specific hazard functions with missing causes. Lifetime Data Anal. 26(4), 731–760.
  • Heng, F.; Sun, Y.; Qi, L.; Gilbert, P. Analysis of generalized semiparametric mixed varying‑coefficients models for longitudinal data. J. Statist. 47(3), 351–373.
  • Heng, F.; Sun, Y.; Qi, L.; Gilbert, P. A hybrid approach for the stratified mark‑specific proportional hazards model with missing covariates and missing marks, with application to vaccine efficacy trials. J. R. Stat. Soc. Ser. C: Appl. Stat. 69(7), 205, 11 pp.
  • Magaret, C.A.; Li, L.; deCamp, A.C.; Rolland, M.; Juraska, M.; Williamson, B.D.; Ludwig, J.; Molitor, C.; Benkeser, D.; Luedtke, A.; Simpkins, B.; Heng, F.; Sun, Y.; Carpp, L.N.; Bai, H.; Dearlove, B.L.; Giorgi, E.E.; Jongeneelen, M.; Brandenburg, B.; McCallum, M.; Bowen, J.E.; Veesler, D.; Sadoff, J.; Gray, G.E.; Roels, S.; Vandebosch, A.; Stieh, D.J.; Le Gars, M.; Vingerhoets, J.; Grinsztejn, B.; Goepfert, P.A.; de Sousa, L.P.; Silva, M.S.T.; Casapia, M.; Losso, M.H.; Little, S.J.; Gaur, A.; Bekker, L.; Garrett, N.; Truyers, C.; Van Dromme, I.; Swann, E.; Marovich, M.A.; Follmann, D.; Neuzil, K.M.; Corey, L.; Greninger, A.L.; Roychoudhury, P.; Hyrien, O.; Gilbert, P.B. (2024). Quantifying how single dose Ad26.COV2.S vaccine efficacy depends on Spike sequence features. Nature Communications 15(1): 2175.
  • Yan, G.; Nee, R.; Scialla, J.J.; Greene, T.; Yu, W.; Heng, F.; Norris, K.C. (2024). Role of Age and Competing Risk of Death in the Racial Disparity of Kidney Failure Incidence after Onset of Chronic Kidney Disease. Journal of the American Society of Nephrology, 10–1681.
  • Butts, E.; Gococo‑Benore, D.; Pai, T.; Moustafa, M.A.; Heng, F.; Chen, R.; Zhao, Y.; Manochakian, R.; Lou, Y. (2023). Risk stratification following curative therapy for stage I NSCLC. Frontiers in Oncology 13:1250315.
  • Koyama, A.K.; Nee, R.; Yu, W.; Choudhury, D.; Heng, F.; Cheung, A.K.; Norris, K.C.; Cho, M.E.; Yan, G. (2023). Role of Anemia in Dementia Risk Among Veterans with Incident CKD. American Journal of Kidney Diseases 82(6), 706–714.
  • Koyama, A.K.; Nee, R.; Yu, W.; Choudhury, D.; Heng, F.; Cheung, A.K.; Cho, M.E.; Norris, K.C.; Yan, G. (2023). Risk of ESKD and Death Among Homeless Veterans with Incident CKD. ASN Kidney Week 2023.

Yisu Jia

  • Jia, Y.; Kechagias, S.; Livsey, J.; Lund, R.; Pipiras, V. Latent Gaussian Count Time Series. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.2021.1944874 118(541), 596–606.
  • Jia, Y.; Lund, R.; Livsey, J. Superpositioned stationary count time series. Engrg. Inform. Sci. 35(3), 538–556.
  • Jia, Y. Response of metabolic hormones and blood metabolites to realimentation in rehabilitated harbor seal (Phoca vitulina) pups.

Jae‑Ho Lee

  • Lee, J.-H.; Xia, Z.-J.; Koolen, J.H. A new feasibility condition for the AT4 family. J. Combin. 30(2), Paper No. 2.7, 14 pp.
  • Lee, J.-H. Circular Hessenberg pairs. Linear Algebra Appl. 655, 202–235.
  • Lee, J.-H.; Patterson, R. Multidimensional summability process on Baskakov‑type approximation. Math. Anal. Appl. 14(2), 12–23.
  • Lee, J.-H. Grassmann graphs, degenerate DAHA, and non‑symmetric dual q‑Hahn polynomials. Linear Algebra 588, 160–195.
  • Koolen, H.; Lee, J.H.; Li, S.; Li, Y.; Liang, X.; Tan, Y.‑Y. On the (non‑) existence of tight distance‑regular graphs; a local approach. Electronic Journal of Combinatorics 31(2), 2024, #P.2.25, 20 pp.

Ognjen Milatovic

  • Milatovic, O. Self‑adjointness of perturbed bi‑Laplacians on infinite graphs. Indagationes Mathematicae 32, 442–455.
  • Milatovic, O. Minimal and maximal extensions of M‑hypoelliptic proper uniform pseudo‑differential operators in Lp‑spaces on non‑compact manifolds. Journal of Pseudo‑Differential Operators and Applications 12, 16, 22 pp.
  • Milatovic, O.; Saratchandran, H. Essential self‑adjointness of perturbed biharmonic operators via conformally transformed metrics. Potential Analysis 56(4), 623–647.
  • Milatovic, O.; Saratchandran, H. Generalized Ornstein‑Uhlenbeck semigroups in weighted Lp‑spaces on Riemannian manifolds. Journal of Functional Analysis 283(8), Paper No. 109623, 62 pp.
  • Milatovic, O. Extended Sobolev scale on Zn. Journal of Pseudo‑Differential Operators and Applications.
  • Milatovic, O. Self‑adjointness of non‑semibounded covariant Schrödinger operators on Riemannian manifolds. Mathematische Nachrichten 296(2023), no. 9, 3967–3985.
  • Milatovic, O. The essential adjointness of pseudo‑differential operators on Zn. Complex Analysis and Operator Theory 18(6), 22 pages (2024).
  • Milatovic, O. Covariant Schrödinger operator and L2‑vanishing property on Riemannian manifolds. Differential Geometry and its Applications 97 (2024), 20 pages.

Richard Patterson

  • Patterson, R.; Savas, R. Multidimensional gauge theory via summability methods. Filomat 36(17), 5875–5883.
  • Patterson, R.; Nuray, F. Inclusion theorems double deferred Cesàro means III. Facta Univ. Ser. Math. Inform. 37(5), 943–950.
  • Patterson, R.; Srivastava, H.M.; Savas, E. Asymptotic double subseries. Inst. Math. 112(126), 143–150.
  • Patterson, R.; Savas, R. Summability approximation theorems of double random variables. Statist. Theory Methods 51(24), 8617–8624.
  • Patterson, R.; Lee, J.-H. Multidimensional summability process on Baskakov‑type approximation. Math. Anal. Appl. 14(2), 12–23.
  • Savaş, R.; Patterson, R.; Öztürk, M. (λ, μ)‑Asymptotically Statistical Equivalent Bivariate Measurable. Journal of Analysis 30(2), 557–567.
  • Patterson, R.; Franco, J.; Dumitru, R. Regular methods of summability and the Banach‑Saks property for double sequences. Filomat 35(5), 1489–1494.
  • Patterson, R.; Savas, R. Gauge strongly summability of measurable functions. Carpathian Journal of Mathematics 37(1), 109–117.
  • Patterson, R.; Savas, R. Multidimensional statistical convergence of functions via ideal. Jangjeon Math. Soc. 23(4), 509–518.
  • Patterson, R.; Savas, R. Generalization of statistically convergent. Methods of Functional Analysis and Topology 26(4), 384–389.
  • Patterson, R.; Savas, R. I2‑lacunary strongly summability for multidimensional measurable functions. Inst. Math. 107(121), 93–107.
  • Patterson, R.; Savas, R.; Savas, E. Multidimensional linear functional connected with double strong Cesàro summability. Indian Journal of Pure and Applied Mathematics 51(1), 143–153.
  • Patterson, R.; Savas, R. Multidimensional matrix characterization of asymptotic I2‑equivalent and ideal for double sequences. Functional Analysis and Optimization 40(6), 654–669.
  • Patterson, R.; Czerwinska, M. Deferred Sequences Spaces Defined by a Moduluus. Southeast Asian Bulletin of Mathematics (2024) 48, 1–10.
  • Johnson, C.; Patterson, R.F. Summability test for multidimensional singular points. Punjab Univ. J. Math. (Lahore) 56(7) (2024), 348–356.
  • Hamid, S.; Patterson, R.F. Multi‑dimensional matrix characterization of (ℓ1, ℓ1) and Mercerian‑type theorem via matrix convolution. Bulletin of Mathematical Analysis and Applications 16(4) (2024), 116–129.
  • Hamid, S.; Patterson, R.F. Fundamental theorems of summability theory for double sequences via stretching by blocks. Journal of Inequalities and Applications (2024) 2024:143. https://doi.org/10.1186/s13660-024-03226-x
  • Hamid, S.; Patterson, R.F. Stretching Double Sequences by “Blocks”. Filomat 38(32) (2024), 11247–11257. 

Mohammad Rahman

  • Rahman, M. Approximation of an Integral Markov Process Arising in the Approximation of Stochastic Differential Equation. Advances in Pure Mathematics 12, 29–47.
  • Rahman, M.; Wang, K.; Zhan, M. Exploring Phase‑Lock Equations as Nonlinear Ordinary Differential Equations. Journal of Computational Pure and Applied Mathematics 3(1), 2025, 1–18. DOI: 10.33790/cpam1100115
  • Rahman, M.; Wang, K.; Zhan, M. Existence and Uniqueness of Time‑Periodic Solutions to the Semigeostrophic Equations. Journal of Applied Nonlinear Dynamics 14(2), 2025, 263–270.
  • Rahman, M.; Bassett, N. A Model of Glucose, Insulin, β‑Cell, Receptor, and Cortisol (GIβRC) Dynamics. Proceedings of the International Conference on Computational and Mathematical Modeling 2025, 25–27. Centre for Mathematical Modelling, University of Colombo, Sri Lanka.

Luminita Razaila

Ping Sa

  • Sa, P.; Hamid, S.; Gleaton, J. Asymptotic properties of MLE’s of parameters of exponentiated exponential lifetime distributions. Statist. Theory Methods 51(22), 7856–7870.
  • Gleaton, J.; Sa, P.; Hamid, S. Asymptotic Properties of MLE’s for Distributions Generated from an Exponential Distribution by a Generalized Log‑Logistic Transformation. Journal of Probability and Statistical Science. DOI: 10.1080/03610926.2021.1882495
  • Sa, P. Characteristics of the GLLE Family of Lifetime Distributions, and Applications. Journal of Probability and Statistical Science 20(1), 204–227.
  • Sa, P.; Gleaton, J.; Hamid, S. Characteristics of the GLLE Family of Lifetime Distributions, and Applications. Journal of Probability and Statistical Science Vol. 22(1), 40–49.

Kening Wang

  • Brenner, S.; Sung, L.-Y.; Wang, K. Additive Schwarz preconditioners for C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates. Numerical Methods for Partial Differential Equations 38(1), 102–117.
  • Tian, Y.; Yin, Y.; Wang, K. Impulsive Control of Complex‑Valued Neural Networks with Mixed Time Delays and Uncertainties. Mathematics (2022) 10(3): 526.
  • Wang, K.; Oh, M.; Ma, L. P1 finite element methods for a weighted elliptic state‑constrained optimal control problem. Algorithms 87(1), 1–17.
  • Wang, K.; Zhu, C.; Li, X. An anti‑windup approach for nonlinear impulsive system subject to actuator saturation. Chaos, Solitons & Fractals 133, 109658, 7 pp.
  • Wang, K. Attractivity of Time‑periodic Solutions of Ginzburg‑Landau Equations of Superconductivity and Numerical Simulations. Journal of Vibration Testing and System Dynamics 8(3) (2024), 317–328.
  • Wang, K.; Rahman, M.; Zhan, M. Exploring Phase‑Lock Equations as Nonlinear Ordinary Differential Equations. Journal of Computational Pure and Applied Mathematics 3(1), 2025, 1–18. DOI: https://doi.org/10.33790/cpam1100115
  • Wang, K.; Rahman, M.; Zhan, M. Existence and Uniqueness of Time‑Periodic Solutions to the Semigeostrophic Equations. Journal of Applied Nonlinear Dynamics 14(2), 2025, 263–270.

Mei‑Qin

  • Zhan, M.‑Q. Uniqueness and decay of weak solutions to phase‑lock equations. Discontinuity, Nonlinearity, and Complexity 10(1), 31–41.
  • Zhan, M.‑Q. Almost Time Periodic Solutions to the Quasigeostrophic Motion. DANOC Book of Abstract.
  • Zhan, M.‑Q.; Wang, K. Attractivity of Time‑periodic Solutions of Quasigeostrophic Equations and Numerical Simulations. Journal of Vibration Testing and System Dynamics 8(3) (2024), 317–328.
  • Zhan, M. (2024). Almost Time Periodic Solutions to the Quasigeostrophic Motion. Days of Applied Nonlinearity and Complexity (DANOC), January 12–14, pp. 88–89.
  • Rahman, M.; Wang, K.; Zhan, M.Q. (2025). Existence and Uniqueness of Periodic Solutions to the Semigeostrophic Equations. Journal of Applied Nonlinear Dynamics 14(2), 263–270.
  • Rahman, M.; Wang, K.; Zhan, M. Exploring Phase‑Lock Equations as Nonlinear Ordinary Differential Equations. Journal of Computational Pure and Applied Mathematics 3(1), 2025, 1–18. DOI: 10.33790/cpam1100115

Published Books

Denis Bell

  • Bernhardt, C.; Bell, D. A Mathematical Tour. CRC Press, 2025.

Daniela Genova

  • D. Genova; J. Kari, Guest Editors. Special Issue: Unconventional Computation and Natural Computation – Selected Papers from the International Conference UCNC 2023. Natural Computing, Springer, Vol. 24, Issue 1, Part 1 (2025).
  • D. Genova; I. Petre, Guest Editors. Special Issue: Selected Papers from the Third Workshop on Reaction Systems 2023. Natural Computing, Springer, Vol. 23, Issue 2, Part 1 (2024).

Grant Applications

Fei Heng

  • (Role: Subcontract PI) NIH/NIAID, 23X077F1, “COVID‑19 Variant Immunologic Landscape (COVAIL) Trial – Correlates or Protection” (PI: Dr. Peter Gilbert), 2024–2025.
  • UNF Research Enhancement Plan, “Learning the Test Pathway for Underlying Causes of Chronic Kidney Disease”, submitted Sep. 2023 — denied.
  • (Role: Subrecipient PI) BARDA NextGen SDCC (statistical and data coordinating center) proposal, “NextGen Vaccine Study Statistical and Data Coordination Support” (PI: Dr. Peter Gilbert), 2026–2031 — pending.
  • (Role: Subrecipient PI) BARDA NextGen SDCC proposal, “Assessing Foundational CoP Data: Assessment of foundational CoP data from first‑generation COVID‑19 vaccine trials.” (PI: Dr. Peter Gilbert), 2024–2026 — pending.
  • (Role: Subrecipient PI) NIH R01 application, “Assessing the CKD Evaluation in Real World Practice (ACE‑CKD).” (PI: Julia J. Scialla and Guofen Yan), submitted Oct. 2023 (resubmission) — denied.
  • (Role: Subrecipient PI) NIH R01 application “Disparities in kidney outcomes among Black and White people at risk for chronic kidney disease (CKD).” (PI: Guofen Yan), submitted Oct. 2023 — denied.

Yisu Jia

  • Economic Risk and Resilience in the US Soybean Agriculture under Extreme Weather: a Spatial‑Temporal Machine Learning Analysis to the Multiregional Soybean Checkoff Program of the Atlantic Soybean Council.

The Group for Research and Consulting in Statistics

The Group for Research and Consulting in Statistics (GRCS) is located at the University of North Florida in Jacksonville, Florida. The GRCS, previously the Institute of Statistics, has been in operation since 1983.

We offer statistical support and expertise to regional businesses; to units of state, county and municipal government; to hospitals and other not-for-profit entities; to academic researchers, including both faculty and students, at the University of North Florida and at other institutions of higher education.

  • Mission Statement

    The Group for Research and Consulting in Statistics' Mission is:

    To be a center for the dissemination of statistical knowledge and expertise throughout Northeast Florida by forming partnerships with and providing support to:

    • business enterprises;
    • organizations and departments connected to state, county, and city governments;
    • for profit and not-for-profit health organizations;
    • academic researchers and teachers within the University of North Florida and other institutions of higher education;
    • public service and charitable organizations;

    To enhance and promote undergraduate and graduate education at all departments and colleges within the University of North Florida by:

    • supporting graduate students in all departments in their research;
    • offering opportunities for students to participate in real life consulting projects;
    • offering opportunities for students to participate in academic research projects;
    • offering opportunities for faculty and students to collaborate on research and consulting projects;

    To be a center for research by:

    • initiating research which will bring together faculty, student, and other researchers both from UNF and other research foci;
    • connecting researchers from within the Department of Mathematics and Statistics with researchers in other departments or organizations;
    • collaborating with other researchers by providing statistical and other expertise;
    • What story does my data have to tell?
  • Staff

    Fei Heng, Ph.D.

    Assistant Professor, Mathematics & Statistics Department

    Phone: (904) 620-2654

    Office: Building 14E room 2719

    Email: f.heng@unf.edu

  • Research Support

    The GRCS supports research by:

    • providing statistical support to researchers, students, and teachers within the University of North Florida and other institutions of higher education;
    • participating as co-investigators in grant funded research with researchers, students, and teachers within the University of North Florida and other institutions of higher education;
    • initiating grant proposals and conducting research associated with these grants.
  • Consulting

    The GRCS forms short term and long term contractual arrangements with individuals and organizations to provide consulting services. The GRCS offers consulting services to organizations such as:

    • industrial, commercial , financial, and other business enterprises;
    • organizations and departments connected to state, county, and city governments;
    • for profit and not-for-profit health organization including hospitals, HMOs, and physician's groups;
    • public service and charitable organizations.

    The expertise of faculty, students, and consultants are available to help clients solve problems is areas such as:

    • data collection, organization, and analysis;
    • experimental design;
    • statistical quality control;
    • statistical and probabilistic modeling;
    • survey construction, design, and analysis.

    The GRCS can help clients in their quests to answer questions such as:

    • What story does my data have to tell?
    • How large a sample should I select? How should the items in the sample be selected?
    • Are key manufacturing, service or natural processes under statistical control? That is, are key processes behaving in a stable and predictable manner? What methods should I use to establish and maintain statistical control over key processes? How capable are key processes?
    • How can statistical methods be used to improve products and processes? How can statistical methods be used in product design and development?
    • What does the future hold? That is, how can statistical forecasting be used to make better business and organizational decisions?
  • Professional and Lifelong Learning Activities

    The GRCS offers tailor-made statistical training and mini-courses, whose content will be developed to suit the needs of the client.

    In addition, the GRCS offers off-the-self courses, which can be taught to groups from local business and other organizations. the following courses will also be periodically offered by open enrollment at prescribed times (typically during the summer):

    • Introductory and intermediate Quality Statistics
    • SPC Awareness for Managers
    • Statistical Process Control for Service Organizations (SPC)
    • Statistical Process Control for Manufacturing (SPC)
    • Design of Surveys and Analysis of Survey Data
    • Process and Product Improvement using Designed Experiments (DOE)
    • publishes a newsletter;
    • publishes and makes available technical reports;
    • maintains a web page.
  • Communications

    The GRCS operates as a communications center for research within the Department of Mathematics and Statistics and for other researchers engaged in projects with the GRCS; advertises the services and expertise of the faculty; contributes to the academic, business and government community's understanding of the vital role that UNF researchers can and do play in Northeast Florida. To help support these activities the GRCS will:

    • publishes a newsletter;
    • publishes and makes available technical reports;
    • maintains a web page.