Publications

2024

2023

2022

2021

2020

2024

Bingyang Hu, Zhenghui Huo, Loredana Lanzani, Kevin Palencia, and Nathan Wagner, The commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothness, J. Funct. Anal., Volume 286, Issue 1, 1 January 2024, 110177, https://doi.org/10.1016/j.jfa.2023.110177
Zhenghui Huo, Brett D. Wick, Weighted estimate of the Bergman projection with matrix weights. AMS Contemporary Mathematics, Volume 799, 2024. https://doi.org/10.1090/conm/799/16020
Zhenghui Huo, Brett D. Wick, Lp regularity of the Bergman projection on the symmetrized polydisc. Canad. J. Math. 2024, http://dx.doi.org/10.4153/S0008414X24000634
Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu, On spectra of Hankel operators on the polydisc. Canad. Math. Bull. 2024, http://dx.doi.org/10.4153/S0008439524000845
Grange, Pascal. “Local resetting in non-conserving zero-range processes with extensive rates.” Journal of Physics Communications 8.4 (2024): 045004.
Micro-macro modeling of polymeric fluids and shear-induced microscopic behaviors with bond-breaking, Xuelian Bao, Huaxiong Huang, Zilong Song, Shixin Xu*, Physical Review Fluids, 9, 103301, October, 2024.
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport, Zilong Song, Shixin Xu, Robert Eisenberg, Huaxiong Huang, Physica D: Nonlinear Phenomena, 24 June 134272, 2024.
Interaction of Ionic Solution with Permeable Membranes: a Variational Approach, Shixin Xu, Zilong Song, Robert Eisenberg, Huaxiong Huang, J. Math. Study, 57,1, 2024.
Study of impacts of two types of cellular aging on the yeast bud morphogenesis, Kevin Tsai, Zhen Zhou, Jiadong Yang, Zhiliang Xu, Shixin Xu, Roya Zandi, Nan Hao, Weitao Chen, Mark Alber, PLOS Computational Biology, 20(9): e1012491, 2024.
VSG-GAN: A High Fidelity Image Synthesis Method with Semantic Manipulation in Retinal Fundus Image, Junjie Liu, Shixin Xu, Ping He, Sirong Wu, Xi Luo, Yuhui Deng, and Huaxiong Huang, Biophysical Journal, 123(17) 2815-2829, September, 2024.
Cellular Communication among Smooth Muscle Cells: the Role of Membrane Potential via Con- nexins, Chun Xiao, Yishui Sun†, Huaxiong Huang, Zilong Song, Xingye Yue, Shixin Xu*, Journal of Theoretical Biology, 576 (7), 111627, 2024.
Lin Jiu and Linyu Peng, “Information geometry and alpha-parallel prior of the beta-logistic distribution”, Communications in Statistics. Theory and Methods (online) Aug. 2024. (This is still published online only and the volume and issue seem to be this year, 2025. See https://doi.org/10.1080/03610926.2024.2387839)
Lin Jiu and Ye Li, “Hankel determinants of certain sequences of Bernoulli polynomials: A direct proof of an inverse matrix entry from Statistics”, Contributions to Discrete Mathematics, 19(4), pp. 64–84, Dec. 2024. (This was actually posted in Jan. 2025, but the volume number is in 2024. Please see https://cdm.ucalgary.ca/article/view/74294)
Qipin Chen, Shane Chern, and Lin Jiu, “Multi-headed lattices and Green functions”, Journal of Physics A: Mathematical and Theoretical, 57(46), Article 465204, Nov. 2024.
Shane Chern and Lin Jiu, “Hankel determinants and Jacobi continued fractions for q-Euler numbers”, Comptes Rendus Mathématique 362, pp. 203–216, Mar. 2024.
Feng, B. Hu, X. Xu, and Y. Zhang. Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow, Communications in Mathematical Sciences, 2025, 23(2): 431-464
-G. Liu, T. Witelski, X. Xu and J. Zhang, A Three-dimensional tumor growth model and its boundary instability, Communications On Applied Mathematics and Computation, 2024: 1-40
Qu, Z., & Zou, D. (2024). Autoencoding hyperbolic representation for adversarial generation. Transactions on Machine Learning Research, https://openreview.net/forum?id=NQi9U0YLW3.
Yang, Y., Wang, P., He, X., & Zou, D. (2024). GRAM: An interpretable approach for graph anomaly detection using gradient attention maps. Neural Networks, 178, 106463.
Wang, H., Li, J., Wang, J., Ping, Z., Xiong, H., Liu, W., & Zou, D. (2024). Translating test responses to images for test-termination prediction via multiple machine learning strategies. ACM Transactions on Design Automation of Electronic Systems. https://doi-org.proxy.lib.duke.edu/10.1145/3661310
Li, J., Yang, Y., Zou, D., Wu, L., Wu, Q., & Li Q. (2024). Recognition of Yuan Blue and White Porcelain produced in Jingdezhen based on machine learning. Heritage Science, 12(1), 79.
Wang, H., Zhang, Z., Xiong, H., Chen, Y., Zou, D., & Jin, H. (2024). GRAND: a graph neural network framework for improved diagnosis. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 43(4), 1288-1301.
R. Bermejo, G. Wilding, R. van de Weygaert, B. J. T. Jones, G. Vegter, K. Efstathiou (2024). Topological bias: how haloes trace structural patterns in the cosmic web. Monthly Notices of the Royal Astronomical Society, Volume 529, Issue 4, April 2024, Pages 4325-4353, https://doi.org/10.1093/mnras/stae543
N. Aminnejad, M. Greiver, and H. Huang, Predicting the Onset of Chronic Kidney Disease (CKD) for Diabetic Patients with Aggregated Longitudinal EMR Data, PLOS Digital Health, accepted (2024).
X. Bao, H. Huang, Z. Song and S. Xu, Micro-Macro Modeling of Polymeric Flu- ids and Shear-Induced Microscopic Behaviors with Bond-breaking, Physical Review Fluids, 9, 103301 (October, 2024).
X. Li, L. Li, J. Wei, P. Zhang, V. Turchenko, N. Vempala, E. Kabakov, F. Habib, A. Gupta, H. Huang, K. Lee, Using Advanced Convolutional Neural Network Ap- proaches to Reveal Patient Age, Gender, and Weight Based on Tongue Images, Biomed Res Int, August 1, 2024:5551209. doi: 10.1155/2024/5551209.
J. Liu, S. Xu, P. He, S. Wu X. Luo, Y. Deng, and H. Huang, VSG-GAN: A High Fidelity Image Synthesis Method with Semantic Manipulation in Retinal Fundus Image, Biophysical Journal, Volume 123, 1-15 (2024).

2023

Dangxing Chen, Jiahui Ye, and Weicheng Ye, ”Interpretable selective learning in credit risk”, Re-
search in International Business and Finance (2023): 101940
Wang, H.*, Zhang, Z., Xiong, H., Chen, Y., Zou, D.*, and Jin, H. (2023). GRAND: a graph neural
network framework for improved diagnosis. IEEE Transactions on Computer-Aided Design of In-
tegrated Circuits and Systems, doi: 10.1109/TCAD.2023.3336212.
Yang, Y.++, Zou, D., and He, X. (2023). Graph neural network-based node deployment for through-
put enhancement. IEEE Transactions on Neural Networks and Learning Systems, doi: 10.1109 /
TNNLS.2023.3281643.
Jiang, R.#, Xue, Y.#, and Zou, D.* (2023). Interpretability-aware industrial anomaly detection using
autoencoders. IEEE Access, 11, 60490-60500, doi: 10.1109/ACCESS.2023.3286548.
Zachary Bradshaw, Ivan Gonzalez, Lin Jiu, Victor Hugo Moll, and Christophe Vignat,“Compatibility
of the method of brackets with classical integration rules”,Open Mathematics, vol. 21, no. 1,
Article number: 20220581, May. 2023.
Karl Dilcher and Lin Jiu, ”Hankel Determinants of shifted sequences of Bernoulli and Euler numbers”, Contributions to Discrete Mathematics, vol. 18 no. 2, pp. 146 – 175, Dec. 2023
A. B. Aazami, M. Á. Javaloyes, and M. C. Werner, ”Finsler pp-waves and the penrose limit”, General
Relativity and Gravitation 55, 52, 2023
Grange, P. (2023). Voter model under stochastic resetting. Journal of Physics A: Mathematical
and Theoretical, 56(49), 495005.
Coupled chemical reactions: Effects of electric field, diffusion, and boundary control, Shixin Xu,
Robert Eisenberg, Zilong Song, Huaxiong Huang, Phys. Rev. E 108, 064413, (2023).
Mathematical Model for Chemical Reactions in Electrolytes Applied to Cytochrome c Oxidase: An
Electro-Osmotic Approach, Shixin Xu, Robert Eisenberg, Zilong Song, Huaxiong Huang, Computa-
tion 11 (12), 253, (2023).
Cellular Communication among Smooth Muscle Cells: the Role of Membrane Potential via Con-
nexins, Chun Xiao, Yishui Sun, Huaxiong Huang, Zilong Song, Xingye Yue, Shixin Xu*, Journal of
Theoretical Biology, 576 (7) January, 111627, (2024), https://doi.org/10.1016/j.jtbi.2023.111627.
Droplet dynamics: A phase-field model of mobile charges, polarization, and its leaky dielectric
approximation, Yuzhe Qin, Huaxiong Huang, Zilong Song, Shixin Xu*, Physics of Fluids, 35, 000000
(2023); doi: 10.1063/5.0159956
Diffuse interface model for cell interaction and aggregation with Lennard-Jones type potential,
Lingyue Shen, Ping Lin, Zhiliang Xu, Shixin Xu*, Computer Methods in Applied Mechanics and
Engineering 415 (October 1, 2023). https://doi.org/10.1016/j.cma.2023.116257.
14. Homogenization theory of ion transportation in multicellular tissue, Chun Xiao, Huaxiong Huang,
Shixin Xu*, Tao Yu, and Xingye Yue, Discrete and Continuous Dynamical Systems Series B 28, no.
10 (November 1, 2023): 5701 – 28. https://doi.org/10.3934/dcdsb.2023072.
Mimicking effects of cholesterol in lipid bilayer membranes by self-assembled amphiphilic block
copolymers, Xiaoyuan Wang, Shixin Xu, Fredric S. Cohen, Jiwei Zhang, and Yongqiang Cai. Soft
Matter 19, no. 29 (July 2023): 5487 – 5501. https://doi.org/10.1039/d3sm00804e.
Y. Feng, M. Tang, X. Xu, and Z. Zhou. Tumor boundary instability induced by nutrient consumption
and supply, Zeitschrift fur angewandte Mathematik und Physik 74, no. 3 (2023): 107.
Y. Feng, L. Li, J.-G. Liu, and X. Xu. Existence of weak solutions to p-Navier-Stokes equations. arXiv
preprint arXiv:2302.09223 (2023). To appear in Discrete and Continuous Dynamical Systems –
Series B.
J.-G. Liu, T. Witelski, X. Xu and J. Zhang, A Three-dimensional tumor growth model and its bound-
ary instability, arXiv preprint arXiv:2401.04954 (2024).
H. Li, Z. Xiang, and X. Xu. Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via
the Poiseuille ow, arXiv preprint arXiv:2312.01069 (2023).
B. Hu, Z. Huo, L. Lanzani, K. Palencia and N. A. Wagner,“The commutator of the Bergman projec-
tion on strongly pseducoconvex domains with minimal smoothness”, J. Funct. Anal., (286)2024,
no. 1, 110117
Z. Huo and B. D. Wick,“Weighted estimates of the Bergman projection with matrix weights”,
accepted in AMS Comtemp. Math. 2024

2022

Karl Dilcher and Lin Jiu. “Hankel determinants of sequences related to Bernoulli and
Euler polynomials”. In: International Journal of Number Theory 18.02 (2022), pp. 331–359.
DOI: 10.1142/S179304212250021X. eprint: https://doi.org/10.1142/S179304212250021X.
Konstantinos Efstathiou, Bohuan Lin, and Holger Waalkens. “Loops of Infinite Order
and Toric Foliations”. In: Regular and Chaotic Dynamics 27.3 (2022), pp. 320–332. DOI:
10.1134/S1560354722030042.
Yu Feng, Bingyang Hu, and Xiaoqian Xu. “Suppression of Epitaxial Thin Film Growth
by Mixing”. In: Journal of Differential Equations 317 (Apr. 25, 2022), pp. 561–602. ISSN:
0022-0396. DOI: 10.1016/j.jde.2022.02.011.
Lin Jiu, Italo Simonelli, and Heng Yue. “Loop Decompositions of Random Walks and
Nontrivial Identities of Bernoulli and Euler Polynomials”. In: INTEGERS: Electronic Journal
of Combinatorial Number Theory 22 (2022), A91.
Yuzhe Qin, Huaxiong Huang, Yi Zhu, Chun Liu, and Shixin Xu. “A phase field model for
mass transport with semi-permeable interfaces”. In: Journal of Computational Physics 464
(2022), p. 111334. ISSN: 0021-9991. DOI: 10.1016/j.jcp.2022.111334.
Lingyue Shen, Zhiliang Xu, Ping Lin, Huaxiong Huang, and Shixin Xu. “An Energy Stable
C0 Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation”.
In: SIAM Journal on Scientific Computing 44.1 (2022), B122–B145. DOI: 10.1137/21M1416631.
eprint: https://doi.org/10.1137/21M1416631.
Weicheng Ye and Dangxing Chen. “Analysis of Performance Measure in Q Learning with
UCB Exploration”. In: Mathematics 10.4 (2022). ISSN: 2227-7390. DOI: 10.3390/math100405
75.
Yongjiao Zhang, Igor Hoveijn, and Konstantinos Efstathiou. “Entrainment degree of
globally coupled Winfree oscillators under external forcing”. In: Chaos 32.10 (2022),
p. 103121. DOI: 10.1063/5.0113961. eprint: https://doi.org/10.1063/5.0113961.
Jinchen Zhao and Myung-Joong Hwang. “Frustrated Superradiant Phase Transition”. In:
Phys. Rev. Lett. 128 (16 Apr. 2022), p. 163601. DOI: 10.1103/PhysRevLett.128.163601.
Quan Zhao, Shixin Xu, and Weiqing Ren. “A Level Set Method for the Simulation of Moving
Contact Lines in Three Dimensions”. In: Communications in Computational Physics 32.5
(2022), pp. 1310–1331. ISSN: 1991-7120. DOI: 10.4208/cicp.OA-2022-0021.

2021

Xing Shi Cai and Guillem Perarnau. “The Giant Component of the Directed Configuration Model Revisited”. In: Latin American Journal of Probability and Mathematical Statistics 18.1 (2021), p. 1517. ISSN: 1980-0436. DOI: 10.30757/ALEA.v18-55.
Yu Chen, Jin Cheng, Arvind Gupta, Huaxiong Huang, and Shixin Xu. “Numerical Method for Parameter Inference of Systems of Nonlinear Ordinary Differential Equations with Partial Observations”. In: Royal Society Open Science 8.7 (July 2021), p. 210171. ISSN: 2054-5703. DOI: 10.1098/rsos.210171.
Karl Dilcher and Lin Jiu. “Orthogonal Polynomials and Hankel Determinants for Certain Bernoulli and Euler Polynomials”. In: Journal of Mathematical Analysis and Applications 497.1 (May 1, 2021), p. 124855. ISSN: 0022-247X. DOI: 10.1016/j.jmaa.2020.124855.
Robert S. Eisenberg. “Optic Nerve Microcirculation: Fluid Flow and Electrodiffusion”. In: Physics of Fluids 33.4 (Apr. 30, 2021), p. 041906. ISSN: 1070-6631. DOI: 10.1063/5.0046323.
Jian Gao and Konstantinos Efstathiou. “Synchronized Clusters in Globally Connected Networks of Second-Order Oscillators: Uncovering the Role of Inertia”. In: Chaos: An Interdisciplinary Journal of Nonlinear Science 31.9 (Sept. 2021), p. 093137. ISSN: 1054-1500. DOI: 10.1063/5.0057125.
Bingyang Hu and Zhenghui Huo. “Dyadic Carleson Embedding and Sparse Domination of Weighted Composition Operators on Strictly Pseudoconvex Domains”. In: Bulletin des Sciences Mathématiques 173 (Dec. 1, 2021), p. 103067. ISSN: 0007-4497. DOI: 10.1016/j.bulsci.2021.103067.
Gautam Iyer, Xiaoqian Xu, and Andrej Zlatoš. “Convection-Induced Singularity Suppression in the Keller-Segel and Other Non-Linear PDEs”. In: Transactions of the American Mathematical Society 374.09 (Sept. 2021), pp. 6039–6058. ISSN: 0002-9947, 1088-6850. DOI: 10.1090/tran/8195.
Junjie Liu, Yiyang Sun, Jing Ma, Jiachen Tu, Yuhui Deng, Ping He, Rongshan Li, Fengyun Hu, Huaxiong Huang, Xiaoshuang Zhou, and Shixin Xu. “Analysis of Main Risk Factors Causing Stroke in Shanxi Province Based on Machine Learning Models”. In: Informatics in Medicine Unlocked 26 (Jan. 1, 2021), p. 100712. ISSN: 2352-9148. DOI: 10.1016/j.imu.2021.100712.
N. Martynchuk, H. W. Broer, and K. Efstathiou. “Recent Advances in the Monodromy Theory of Integrable Hamiltonian Systems”. In: Indagationes Mathematicae. Special Issue in Memory of Hans Duistermaat 32.1 (Feb. 1, 2021), pp. 193–223. ISSN: 0019-3577. DOI: 10.1016/j.indag.2020.05.001.
Pavel Naumov and Italo Simonelli. “The Polymatrix Gap Conjecture”. In: International Game Theory Review (Nov. 11, 2021), p. 2250005. ISSN: 0219-1989, 1793-6675. DOI: 10.1142/S0219198922500050.
Georg Wilding, Keimpe Nevenzeel, Rien van de Weygaert, Gert Vegter, Pratyush Pranav, Bernard J T Jones, Konstantinos Efstathiou, and Job Feldbrugge. “Persistent Homology of the Cosmic Web– I. Hierarchical Topology in Λ CDM Cosmologies”. In: Monthly Notices of the Royal Astronomical Society 507.2 (Sept. 4, 2021), pp. 2968–2990. ISSN: 0035-8711, 1365-2966. DOI: 10.1093/mnras/stab2326.
Chun Xiao, Shixin Xu, Xingye Yue, Changjuan Zhang, and Changrong Zhang. “Homogenization of a Discrete Network Model for Chemical Vapor Infiltration Process”. In: Communications in Mathematical Sciences 19.7 (2021), pp. 1809–1826. ISSN: 15396746, 19450796. DOI: 10.4310/CMS.2021.v19.n7.a3.
Yi Zhu, Shixin Xu, Robert S. Eisenberg, and Huaxiong Huang. “A Tridomain Model for Potassium Clearance in Optic Nerve of Necturus”. In: Biophysical Journal 120.15 (Aug. 3, 2021), pp. 3008–3027. ISSN: 0006-3495. DOI: 10.1016/j.bpj.2021.06.020.

2020

Richard V. Kadison; Zhe Liu; Andreas Thom. A note on commutators in algebras of unbounded operators. Expositiones Mathematicae, 38 (2020), 232-239.
Lei, Qiang; Liu, Weihua; Liu, Zhe; Wu, Junde. Quantum observable generalized orthoalgebras. Positivity, 24 (2020), 663-675.
Lingyue Shen, Zilong Song, Huaxiong Huang, Pin Lin, Shixin Xu. An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density, Journal of Computational Physics, Volume 405 (15), 109179, 2020.
Shixin Xu, Joshua C. Chang, Carson C. Chow, K. C. Brennan, Huaxiong Huang, A mathematical model for persistent post-CSD vasoconstriction, PLoS Computational Biology 16 (7), e1007996, 2020.
Zachary J. McCarthy, Shixin Xu, Ashrafur Rahman, et al. Modelling the linkage between influenza infection and cardiovascular events via thrombosis, Scientific Reports, 10, 14264 (2020).
Karl Dilcher and Lin Jiu. Orthogonal Polynomials and Hankel Determinants for Certain Bernoulli and Euler Polynomials, Journal of Mathematical Analysis and Applications, Vol. 497 (Issue 1), Article 12485, 2021 (accepted 2020).
Henri P. Roesch and Marcus C. Werner. The isoperimetric problem in Riemannian optical geometry, Pure and Applied Mathematics Quarterly, vol. 16, no.3, pp. 495-514, 2020.
Italo Simonelli and Lucia Simonelli. Local limit theorems for Poisson’s binomial in the case of infinite expectation, Annales Univ. Sci. Budapest., Sect. Comp. 50 (2020) 283–298.
G. Watanabe, B. P. Venkatesh, P. Talkner, M.-J. Hwang, and A. del Campo. Quantum Statistical Enhancement of the Collective Performance of Multiple Bosonic Engines” Physical Review Letters 124, 210603 (2020).
G. Iyer, X. Xu, A. Zlatos. Convection-Induced Singularity Suppression in the Keller-Segel and Other Non-linear PDEs, to appear in the Transactions of the American Mathematical Society (https://arxiv.org/abs/1908.01941)
Feng, Y. and Xu, X., 2020. Suppression of epitaxial thin film growth by mixing. arXiv preprint arXiv:2011.14088. (https://arxiv.org/abs/2011.14088)
J. Gao, K. Efstathiou. Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies. Physical Review E, 101(2), 022302 (2020).
N. Martynchuk, H. W. Broer, K. Efstathiou. Recent advances in the monodromy theory of integrable Hamiltonian systems. Indagationes Mathematicae (2020).

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