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Informationtheoretic inequalities on unimodular Lie groups
1.  Department of Mechanical Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218, United States 
[1] 
Franz W. Kamber and Peter W. Michor. Completing Lie algebra actions to Lie group actions. Electronic Research Announcements, 2004, 10: 110. 
[2] 
Katarzyna Grabowska, Marcin Zając. The Tulczyjew triple in mechanics on a Lie group. Journal of Geometric Mechanics, 2016, 8 (4) : 413435. doi: 10.3934/jgm.2016014 
[3] 
Nadya Markin, Eldho K. Thomas, Frédérique Oggier. On group violations of inequalities in five subgroups. Advances in Mathematics of Communications, 2016, 10 (4) : 871893. doi: 10.3934/amc.2016047 
[4] 
Elena Celledoni, Brynjulf Owren. Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems, 2014, 34 (3) : 977990. doi: 10.3934/dcds.2014.34.977 
[5] 
Emma Hoarau, Claire david@lmm.jussieu.fr David, Pierre Sagaut, ThiênHiêp Lê. Lie group study of finite difference schemes. Conference Publications, 2007, 2007 (Special) : 495505. doi: 10.3934/proc.2007.2007.495 
[6] 
Eduardo Martínez. Classical field theory on Lie algebroids: Multisymplectic formalism. Journal of Geometric Mechanics, 2018, 10 (1) : 93138. doi: 10.3934/jgm.2018004 
[7] 
Takeshi Fukao, Nobuyuki Kenmochi. Abstract theory of variational inequalities and Lagrange multipliers. Conference Publications, 2013, 2013 (special) : 237246. doi: 10.3934/proc.2013.2013.237 
[8] 
Theodore Voronov. Book review: General theory of Lie groupoids and Lie algebroids, by Kirill C. H. Mackenzie. Journal of Geometric Mechanics, 2021, 13 (3) : 277283. doi: 10.3934/jgm.2021026 
[9] 
David BlázquezSanz, Juan J. MoralesRuiz. Lie's reduction method and differential Galois theory in the complex analytic context. Discrete and Continuous Dynamical Systems, 2012, 32 (2) : 353379. doi: 10.3934/dcds.2012.32.353 
[10] 
Melvin Leok, Diana Sosa. Dirac structures and HamiltonJacobi theory for Lagrangian mechanics on Lie algebroids. Journal of Geometric Mechanics, 2012, 4 (4) : 421442. doi: 10.3934/jgm.2012.4.421 
[11] 
Wenlei Li, Shaoyun Shi. Singular perturbed renormalization group theory and its application to highly oscillatory problems. Discrete and Continuous Dynamical Systems  B, 2018, 23 (4) : 18191833. doi: 10.3934/dcdsb.2018089 
[12] 
JeanPaul Thouvenot. The work of Lewis Bowen on the entropy theory of nonamenable group actions. Journal of Modern Dynamics, 2019, 15: 133141. doi: 10.3934/jmd.2019016 
[13] 
Ben Muatjetjeja, Dimpho Millicent Mothibi, Chaudry Masood Khalique. Lie group classification a generalized coupled (2+1)dimensional hyperbolic system. Discrete and Continuous Dynamical Systems  S, 2020, 13 (10) : 28032812. doi: 10.3934/dcdss.2020219 
[14] 
Michele Zadra, Elizabeth L. Mansfield. Using Lie group integrators to solve two and higher dimensional variational problems with symmetry. Journal of Computational Dynamics, 2019, 6 (2) : 485511. doi: 10.3934/jcd.2019025 
[15] 
Lakehal Belarbi. Ricci solitons of the $ \mathbb{H}^{2} \times \mathbb{R} $ Lie group. Electronic Research Archive, 2020, 28 (1) : 157163. doi: 10.3934/era.2020010 
[16] 
Xuefeng Shen, Khoa Tran, Melvin Leok. Highorder symplectic Lie group methods on $ SO(n) $ using the polar decomposition. Journal of Computational Dynamics, 2022 doi: 10.3934/jcd.2022003 
[17] 
Yasuhiro Fujita, Katsushi Ohmori. Inequalities and the AubryMather theory of HamiltonJacobi equations. Communications on Pure and Applied Analysis, 2009, 8 (2) : 683688. doi: 10.3934/cpaa.2009.8.683 
[18] 
Leonid Faybusovich, Cunlu Zhou. Longstep pathfollowing algorithm for quantum information theory: Some numerical aspects and applications. Numerical Algebra, Control and Optimization, 2022, 12 (2) : 445467. doi: 10.3934/naco.2021017 
[19] 
Christopher Goodrich, Carlos Lizama. Positivity, monotonicity, and convexity for convolution operators. Discrete and Continuous Dynamical Systems, 2020, 40 (8) : 49614983. doi: 10.3934/dcds.2020207 
[20] 
Yongjian Liu, Zhenhai Liu, Dumitru Motreanu. Differential inclusion problems with convolution and discontinuous nonlinearities. Evolution Equations and Control Theory, 2020, 9 (4) : 10571071. doi: 10.3934/eect.2020056 
2020 Impact Factor: 0.857
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