Waseda Institute for Advanced Study (WIAS)早稲田大学 高等研究所

その他

彭 林玉

名前

彭 林玉 (PENG, Linyu)

取得学位

Ph.D.

資格 Status

講師

HP(URL)

Monthly Spotlight

[Monthly Spotlight]は研究員にスポットをあて、研究内容とそのビジョンを毎月紹介していくコンテンツです。
Symmetry methods for discrete equations PENG Linyu 講師

研究テーマ

Symmetries, geometric mechanics, information geometry

略歴

2013.9  PhD in Mathematics, University of Surrey
2013.10 — 2015.3  Junior Researcher, Research Institute of Nonlinear Partial Differential Equations, Waseda University & Assistant Professor, Department of Applied Mechanics and Aerospace Engineering, Waseda University
2015.4 — 2018.3   Assistant Professor, Department of Applied Mechanics and Aerospace Engineering, Waseda University
2018.3 —    Assistant Professor, Waseda Institute for Advanced Study, Waseda University

研究項目

Symmetries
Conservation Laws
Integrable Systems
Geometric Integrator Theory
Multisymplectic Structures
Moving Frames & Invariant Analysis
Dirac Mechanics & Nonholonomic Systems
Information Geometry

主な研究業績
Book:
  1. H. Sun, Z. Zhang, L. Peng, X. Duan, 2016, An Elementary Introduction to Information Geometry, Beijing: Science Press. (Originally printed in Chinese)
Selected Papers
  1.  Linyu Peng, Symmetries and Reductions of Integrable Nonlocal Partial Differential Equations, Symmetry 11(7) (2019): 884, 11pp.
  2. James A Wright and Linyu Peng, An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity, Results in Applied Mathematics 2 (2019): 100015, 9pp.
  3. C. Zhang, L. Peng, D.J. Zhang, 2018, Discrete Crum’s Theorems and Integrable Lattice Equations, arXiv:1802.10044
  4.  L. Peng, 2017, Symmetries, conservation laws, and Noether’s theorem for differential-difference equations, Stud. Appl. Math. 139: 457–502.
  5.  X. Zhang, N. Wang, Y. Cao, L. Peng, H. Meng, 2017, A stochastic analytical modelling framework on ISP-P2P collaborations in multi-domain environments, IEEE Systems Journal, first version published online. (http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8000561&tag=1)
  6.  Y. Cao, X. Zhang, R. Wang, L. Peng, N. Aslam, X. Chen, 2017, Applying DTN routing for reservation-driven EV charging management in smart cities, IEEE IWCMC, Valencia, Spain.
  7.  C. Li, L. Peng, H. Sun, 2015, Entropic dynamical models with unstable Jacobi fields, Rom. Journ. Phys. 60: 1249–1262.
  8.  L. Peng, 2015, Self-adjointness and conservation laws of difference equations, Commun. Nonlinear Sci. Numer. Simul. 23: 209–219.
  9.  L. Peng, 2014, Relations between symmetries and conservation laws for difference systems, J. Differ. Equ. Appl. 20: 1609–1626.
  10.  X. Duan, H. Sun, L. Peng, 2014, The alpha-geometric structures on manifold of positive definite Hermite matrices, Acta Math. Sin., Engl. Ser. 30: 2137–2145.
  11.  Z. Zhang, H. Sun, L. Peng, L. Jiu, 2014, A natural gradient algorithm for stochastic distribution systems, Entropy 16: 4338–4352.
  12.  Z. Zhang, H. Sun, L. Peng, 2013, Natural gradient algorithm for stochastic distribution systems with output feedback, Differ. Geom. Appl. 31: 682–690.
  13.  X. Duan, H. Sun, L. Peng, 2013, Riemannian means on special Euclidean group and unipotent matrices group, The Scientific World Journal 2013: Article ID 292787, 9 pages.
  14.  X. Duan, H. Sun, L. Peng, X. Zhao, 2013, A natural gradient algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance, Appl. Math. Comput. 219: 9899–9905.
  15.  F. Zhang, H. Sun, L. Jiu, L. Peng, 2013, The arc length variational formula on the exponential statistical manifold, Mathematica Slovaca 63: 1101–1112.
  16.  L. Peng, H. Sun, G. Xu, 2012, Information geometric characterization of the complexity of fractional Brownian motions, J. Math. Phys. 53: 123305.
  17.  H. Sun, L. Peng, Z. Zhang, 2011, Information geometry and its applications, Adv. Math. (China) 40: 257–269.
  18.  L. Peng, H. Sun, D. Sun, J. Yi, 2011, The geometric structures and instability of entropic dynamic models, Adv. Math. 227: 459–471.
  19.  L. Peng, H. Sun, X. Sun, 2011, Geometric structure of Hamiltonian dynamics with conformal Eisenhart metric, Internat. J. Math. Math. Sci. 2011: Article ID 710274, 26 pages.
趣味 関心

所属学会

日本数学会
日本応用数理学会
International Society of Difference Equations (ISDE)
Society of Foundations of Computational Mathematics (FoCM)

受賞歴

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