Publications

Center Faculty

Prof Konstantinos Efstathiou, Ph.D. with DKU affiliation

1. Gao, J. and Efstathiou, K., 2020. Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies. Physical Review E, 101(2), p.022302.
2. Martynchuk, N., Broer, H.W. and Efstathiou, K., 2020. Recent advances in the monodromy theory of integrable Hamiltonian systems. Indagationes Mathematicae.

 

Prof Zhe Liu, Ph.D.  with DKU affiliation

1. Kadison, R; Liu, Z; Thom A. A note on commutators in algebras of unbounded operators. Expositiones Mathematicae, 38 (2020), 232-239.
2. Lei, Q; Liu, W; Liu, Z; Wu, J. Quantum observable generalized orthoalgebras. Positivity, (2020) 24, 663-675.
3. Chen, Y; Hadwin, D; Liu, Z; Nordgren, E. A Beurling theorem for generalized Hardy spaces on a multiply connected domain. Canad. J. Math. 70 (2018), no. 3, 515-537.

 

Prof Marcus Werner, Ph.D. with DKU affiliation

1. Werner, M. C. (editor): Gravitational Lensing and Optical Geometry: A Centennial Perspective(MDPI, Basel, 2020. ISBN 978-3-03943-286-8). Special Issue of Universe.
2. Roesch, P. and Werner, M. C.: “The isoperimetric problem in Riemannian optical geometry,” Pure Appl. Math. Quart. 16 (2020), in press.

 

Prof Shixin Xu, Ph.D. with DKU affiliation

1. Shen, L., Huang, H., Lin, P., Song, Z. and Xu, S.*, 2020. An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. Journal of Computational Physics, 405, p.109179.
2. Xu, S., Chen, X., Liu, C. and Yue, X., 2019. Numerical method for Multi-Alleles Genetic Drift Problem. SIAM Journal on Numerical Analysis, 57(4), pp.1770-1788.
3. Xu, S., Chang, J.C., Chow, C.C., Brennan, K.C. and Huang, H., 2020. A mathematical model for persistent post-CSD vasoconstriction. PLOS Computational Biology, 16(7), p.e1007996.
4. McCarthy, Z., Xu, S., Rahman, A. et al. Modelling the linkage between influenza infection and cardiovascular events via thrombosis. Sci Rep 10, 14264 (2020).
5. Xiao, C. Xu, S.,  Yue, X.,   Zhang, C.,  Zhang, C.,  Homogenization of a discrete network model for chemical vapor infiltration process,   Comm. Math. Sci., 19(7), 1809-1826, 2021.
6. Zhu, Y.  Xu, S.,*,   Eisenberg, R.,   Huang, H.,  Optic Nerve Microcirculation: Fluid Flow and Electrodiffusion, Phys. Fluids 33, 041906 (2021); https://doi.org/10.1063/5.0046323.
7. Zhu, Y, Xu, S.*, Eisenberg, RS., Huang, H., A Tridomain Model for Potassium Clearance in Optic Nerve of Necturus, Biophysical Journal (2021), DOI: https://doi.org/10.1016/j.bpj.2021.06.020.
8. Chen Y., Cheng J.,  Gupta A.,  Huang H.,  Xu, S.*, Numerical Method for Parameter Inference of Nonlinear ODEs with Partial Observations, Royal Society Open Science, 28 July 2021, https://doi-org.proxy.lib.duke.edu/10.1098/rsos.210171
9. Li, S., Pan, R., Gupta, A., Xu, S* ., Fang, Y., & Huang, H., Predicting the Risk of Rupture for Vertebral Aneurysm based on Geometric Features of Blood Vessels, Royal Society Open Science, 2021, 8: 210392. https://doi.org/10.1098/rsos.210392 .

 

Prof Xiaoqian Xu, Ph.D. with DKU affiliation

1. Iyer, G, Xu. X, Zlatos. A, Convection-Induced Singularity Suppression in the Keller-Segel and Other Non-linear PDEs, arxiv preprint arXiv:1908.01941 (2019), to appear in Transaction of AMS.

 

Prof Italo Simonelli, Ph.D. with DKU affiliation

1. I.Simonelli and L. Simonelli, 2020, Local Limit Theorems for Poisson’s Binomial in the Case of Infinite Limiting Expectation, Annales Univ. Sci. Budapest., Sect. Comp. 50 (2020) 283–298

 

Prof Lin Jiu, Ph.D.  with DKU affiliation

1. Dilcher, K. and Jiu, L., 2021. Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials. Journal of Mathematical Analysis and Applications, 497(1), p.124855.

 

 

Affiliate Faculty

Prof Ming Li, Ph.D. with DKU affiliation

1. Chen, W., Zhang, D., Li, M.; Lee, Dah-Jye, “STCAM: Spatial-Temporal and Channel Attention Module for Dynamic Facial Expression Recognition”, IEEE Transactions on Affective Computing, 2020.
2. Cai, W., Chen, J., Zhang, J., Li, M., Variable-length Data Loader and Utterance-level Aggregation for Speaker and Language Recognition”, IEEE/ACM Transactions on Audio, Speech, and Language Processing, 2020
3. Li, M., Tang, D., Zeng, J., Zhou, T., Zou, X., “An Automated Assessment Framework for Atypical Prosody and Stereotyped Idiosyncratic Phrases related to Autism Spectrum Disorder”, Computer Speech and Language, 2018.
4. Li, M., Xu, H., Huang, X., Song, Z., Liu, X., and Li, X., “Facial Expression Recognition with Identity and Emotion Joint Learning”, IEEE Transaction on Affective Computing, 2018.
5. Li, Z., Hu, B., Li, M., and Luo, G., “String Stability Analysis for Vehicle Platooning under Unreliable Communication Links with Event-Triggered Strategy”, IEEE Transactions on Vehicular Technology, 2018.

 

Prof Song Gao, Ph.D. with DKU affiliation

1. O’Connell, L., Gao, S, McCorquodale, D., Fleisher, J., Lopez, J. V., PeerJ, “Fine-Grained Compositional Analysis of Port Everglades Inlet Microbiome using High Throughput DNA Sequencing”,  the Journal of Life and Environmental Sciences (2018),PeerJ 6:e4671, DOI 10.7717/peerj.4671.
2. Gao, S, Spiro, T., Roberts, K. P., etc., Environmental Science Problem Solving, University Science Books, United States, 2020 (In Press)

 

Prof Myung-Joong Hwang, Ph.D. with DKU affiliation

1. 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)
2. B.-B. Wei, G. Sun, and M.-J. Hwang “Dynamical Scaling Laws of Out-of-Time-Ordered Correlators” Physical Review B 100, 195107 (2019)

 

Prof Peter Pickl, Ph.D. with DKU affiliation

1. Petrat, S., Pickl, P. and Soffer, A., 2020, February. Derivation of the Bogoliubov time evolution for a large volume mean-field limit. In Annales Henri Poincaré (Vol. 21, No. 2, pp. 461-498). Springer International Publishing.
2. Chen, L., Li, X., Pickl, P. and Yin, Q., 2020. Combined mean field limit and non-relativistic limit of Vlasov–Maxwell particle system to Vlasov–Poisson system. Journal of Mathematical Physics, 61(6), p.061903.
3. Jeblick, M., Leopold, N. and Pickl, P., 2019. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics, 372(1), pp.1-69.
4. Neiss, R.A. and Pickl, P., 2020. A mean field limit for the Hamiltonian Vlasov system. Journal of Statistical Physics, 178(2), pp.472-498.
5. Boßmann, L., Pavlović, N., Pickl, P. and Soffer, A., 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics, pp.1-35.
6. Jeblick, M. and Pickl, P., 2018. Derivation of the time dependent two dimensional focusing NLS equation. Journal of Statistical Physics, 172(5), pp.1398-1426.
7. Mitrouskas, D., Petrat, S. and Pickl, P., 2019. Bogoliubov corrections and trace norm convergence for the Hartree dynamics. Reviews in Mathematical Physics, 31(08), p.1950024.
8. Leopold, N. and Pickl, P., 2018, March. Mean-field limits of particles in interaction with quantized radiation fields. In Workshop on Macroscopic Limits of Quantum Systems (pp. 185-214). Springer, Cham.
9. Huang, H.,  Liu, J. and Pickl, P., 2020. On the Mean-Field Limit for the Vlasov-Poisson-Fokker-Planck System. Journal of Statistical Physics, Vol. 181 no 4