Preprints

  • R. Hu and L. Peng, Stochastic multisymplectic PDEs and their structure-preserving numerical methods, preprint. PDF
  • Y. Ono, S. Fiori, and L. Peng, Euler-Poincaré reduction and the Kelvin-Noether theorem for discrete mechanical systems with advected parameters and additional dynamics, submitted. PDF
  • S. Chun, L. Peng, and H.J. Park, Neural bidomain model for multidimensional ephaptic coupling of neural spike propagation along myelinated fiber bundles with the nodes of Ranvier, submitted. PDF
  • L. Peng and H. Yoshimura, Discrete Dirac structures and discrete Lagrange-Dirac dynamical systems in mechanics, submitted. PDF
  • 彭 林玉, 富田 繁, 郡司 士, 半離散方程式の対称性と群不変解, submitted. PDF
  • L. Peng and P. E. Hydon, The difference variational bicomplex and multisymplectic systems, submitted. PDF

Refereed Journal Papers

  • [J-45] L. Jiu and L. Peng, Information geometry and alpha-parallel prior of the beta-logistic distribution, Communications in Statistics: Theory and Methods, published online, 2024. PDF
  • [J-44] Y. Ono and L. Peng, The Comparison of Riemannian Geometric Matrix-CFAR Signal Detectors, IEEE Transactions on Aerospace and Electronic Systems 60: 1679-1691, 2024. PDF
  • [J-43] H. Zhou, B. Gao, X. Zhao, L. Peng, and S. Bai, Developing a cloud evidence method for dynamic early warning of tunnel construction safety risk in undersea environment, Developments in the Built Environment 16: 100225, 2023. PDF
  • [J-42] Y. Liu and L. Peng, Some novel physical structures of a (2+1)-dimensional variable-coefficient Korteweg-de Vries system, Chaos, Solitons & Fractals 171: 113430, 2023. PDF
  • [J-41] X. Hua, L. Peng, W. Liu, Y. Cheng, H. Wang, H. Sun, and Z. Wang, LDA-MIG Detectors for Maritime Targets in Nonhomogeneous Sea Clutter, IEEE Transactions on Geoscience and Remote Sensing 61: 5101815, 2023. PDF
  • [J-40] F. Zufall, R. Kimura, and L. Peng, Towards a simple mathematical model for the legal concept of balancing of interests, Artificial Intelligence and Law 31: 807–827, 2023. PDF
  • [J-39] Y. Ono and L. Peng, Towards a median signal detector through the total Bregman divergence and robustness analysis, Signal Processing 201: 108728, 2022. PDF
  • [J-38] X. Hua, Y. Ono, L. Peng, and Y. Xu, Unsupervised Learning Discriminative MIG Detectors in Nonhomogeneous Clutter, IEEE Transactions on Communications 70: 4107-4120, 2022. PDF
  • [J-37] L. Peng, A modified formal Lagrangian formulation for general differential equations, Japan Journal of Industrial and Applied Mathematics 39: 573-598, 2022. PDF
  • [J-36] L. Peng, N. Arai, and K. Yasuoka, A stochastic Hamiltonian formulation applied to dissipative particle dynamics, Applied Mathematics and Computation 426: 127126, 2022. PDF
  • [J-35] L. Peng and P. E. Hydon, Transformations, symmetries and Noether theorems for differential-difference equations, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478: 20210944, 2022. PDF
  • [J-34] M. Li, H. Sun, and L. Peng, Fisher--Rao Geometry and Jeffreys Prior for Pareto Distribution, Communications in Statistics: Theory and Methods 51: 1895-1910, 2022. PDF
  • [J-33] X. Hua, Y. Ono, L. Peng, Y. Cheng, and H. Wang, Target Detection within Nonhomogeneous Clutter via Total Bregman Divergence-Based Matrix Information Geometry Detectors, IEEE Transactions on Signal Processing 69: 4326-4340, 2021. PDF
  • [J-32] X. Hua and L. Peng, MIG Median Detectors with Manifold Filter, Signal Processing 188: 108176, 2021. PDF
  • [J-31] X. Zhang, Y. Cao, L. Peng, J. Li, N. Ahmad, and S. Yu, Mobile Charging as a Service: A Reservation-Based Approach, IEEE Transactions on Automation Science and Engineering 17: 1976-1988, 2020. PDF
  • [J-30] C. Zhang, L. Peng, and D.J. Zhang, Discrete Crum’s theorems and lattice KdV-type equations, Theor. Math. Phys. 202: 165-182, 2020. PDF
  • [J-29] X. Duan, H. Sun, and L. Peng, Application of gradient descent algorithms based on geodesic distances, Science China: Information Sciences 63: 152201, 2020. PDF
  • [J-28] L. Pan, L. Peng, and Y. Zhou, An assignment model with local constraints: Competitive equilibrium and ascending auction, Economics Letters 188: 108905, 2020. PDF
  • [J-27] X. Zhang, Y. Cao, L. Peng, N. Ahmad, and L. Xu, Towards Efficient Battery Swapping Service Operation under Battery Heterogeneity, IEEE Transactions on Vehicular Technology 69: 6107-6118, 2020. PDF
  • [J-26] X. Zhang, L. Peng, Y. Cao, S. Liu, H. Zhou, and L. Huang, Towards holistic charging management for urban electric taxi via a hybrid deployment of battery charging and swap stations, Renewable Energy 155: 703-716, 2020. PDF
  • [J-25] E.L. Mansfield, A. Rojo-Echeburua, P.E. Hydon, and L. Peng, Moving frames and Noether’s finite difference conservation laws I, Transactions of Mathematics and its Applications 3: tnz004, 47pp, 2019. PDF
  • [J-24] L. Peng, Symmetries and reductions of integrable nonlocal partial differential equations, Symmetry 11: 884, 11pp, 2019. PDF
  • [J-23] L. Peng and Z. Zhang, Statistical Einstein manifolds of exponential families with group-invariant potential functions, J. Math. Anal. Appl. 479: 2104-2118, 2019. PDF
  • [J-22] J.A. Wright and L. Peng, An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity, Results in Applied Mathematics 2: 100015, 13pp, 2019. PDF
  • [J-21] X. Zhang, N. Wang, Y. Cao, L. Peng, and H. Meng, A stochastic analytical modelling framework on ISP-P2P collaborations in multi-domain environments, IEEE Systems Journal 12: 2320-2331, 2018. PDF
  • [J-20] L. Peng, Symmetries, conservation laws, and Noether's theorem for differential-difference equations, Stud. Appl. Math. 139: 457-502, 2017. PDF
  • [J-19] L. Peng, Self-adjointness and conservation laws of difference equations, Commun. Nonlinear Sci. Numer. Simul. 23: 209-219, 2015. PDF
  • [J-18] C. Li, L. Peng, and H. Sun, Entropic dynamical models with unstable Jacobi fields, Rom. Journ. Phys. 60: 1249-1262, 2015. PDF
  • [J-17] L. Peng, Relations between symmetries and conservation laws for difference systems, J. Differ. Equ. Appl. 20: 1609-1626, 2014. PDF
  • [J-16] X. Duan, H. Sun, and L. Peng, The alpha-geometric structures on manifold of positive definite Hermite matrices, Acta Math. Sin., Engl. Ser. 30: 2137-2145, 2014. PDF
  • [J-15] Z. Zhang, H. Sun, L. Peng, and L. Jiu, A natural gradient algorithm for stochastic distribution systems, Entropy 16: 4338-4352, 2014. PDF
  • [J-14] X. Duan, H. Sun, L. Peng, and X. Zhao, A natural gradient algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance, Appl. Math. Comput. 219: 9899-9905, 2013. PDF
  • [J-13] Z. Zhang, H. Sun, and L. Peng, Natural gradient algorithm for stochastic distribution systems with output feedback, Differ. Geom. Appl. 31: 682-690, 2013. PDF
  • [J-12] X. Duan, H. Sun, and L. Peng, Riemannian means on special Euclidean group and unipotent matrix group, The Scientific World Journal 2013: Article ID 292787, 9 pages, 2013. PDF
  • [J-11] F. Zhang, H. Sun, L. Jiu, and L. Peng, The arc length variational formula on the exponential statistical manifold, Mathematica Slovaca 63: 1101-1112, 2013. PDF
  • [J-10] F.S. Syed, L. Peng, H. Sun, and X. Duan, Information geometry of power spectral, Transaction of Beijing Institute of Technology 33: 327-330, 2013. PDF
  • [J-9] L. Peng, H. Sun, and G. Xu, Information geometric characterization of the complexity of fractional Brownian motions, J. Math. Phys. 53: 123305, 2012. PDF
  • [J-8] L. Peng, H. Sun, D. Sun, and J. Yi, The geometric structures and instability of entropic dynamic models, Adv. Math. 227: 459-471, 2011. PDF
  • [J-7] L. Peng, H. Sun, and X. Sun, Geometric structure of Hamiltonian dynamics with conformal Eisenhart metric, Internat. J. Math. Math. Sci. 2011: Article ID 710274, 26 pages, 2011. PDF
  • [J-6] H. Sun, L. Peng, and Z. Zhang, Information geometry and its applications, Adv. Math. (China) 40: 257-269, 2011. PDF
  • [J-5] F. Li, P. Wu, H. Sun, and L. Peng, 3D object recognition based on linear Lie algebra model, Journal of Beijing Institute of Technology 18: 46-50, 2009. PDF
  • [J-4] T. Li, L. Peng, and H. Sun, The geometric structure of the inverse Gamma distribution, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 49: 217-225, 2008. PDF
  • [J-3] F. Li, L. Peng, and H. Sun, On fibre bundle surfaces and their curvatures, Journal of Beijing Institute of Technology 17: 451-454, 2008. PDF
  • [J-2] F. Li, P. Wu, L. Peng, and H. Sun, Surface model based on a fibre bundle of Hamiltonian Lie algebra and Gaussian curvature, Science & Technology Review 26: 37-39, 2008. PDF
  • [J-1] L. Peng, H. Sun, and L. Jiu, The geometric structure of the Pareto distribution, Boletín de la Asociación Matemática Venezolana 14: 5-13, 2007. PDF

Books

Book Chapters

Conference Proceedings

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