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MonteCarlo and polyhedronbased simulations I: extremal states of the logarithmic Nbody problem on a sphere
1.  Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180, United States 
2.  Department of Computational Science, National University of Singapore 
3.  Department of Physics, National University of Singapore 
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Giacomo Dimarco. The moment guided Monte Carlo method for the Boltzmann equation. Kinetic and Related Models, 2013, 6 (2) : 291315. doi: 10.3934/krm.2013.6.291 
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Guillaume Bal, Ian Langmore, Youssef Marzouk. Bayesian inverse problems with Monte Carlo forward models. Inverse Problems and Imaging, 2013, 7 (1) : 81105. doi: 10.3934/ipi.2013.7.81 
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Ajay Jasra, Kody J. H. Law, Yaxian Xu. Markov chain simulation for multilevel Monte Carlo. Foundations of Data Science, 2021, 3 (1) : 2747. doi: 10.3934/fods.2021004 
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Theodore Papamarkou, Alexey Lindo, Eric B. Ford. Geometric adaptive Monte Carlo in random environment. Foundations of Data Science, 2021, 3 (2) : 201224. doi: 10.3934/fods.2021014 
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Michael B. Giles, Kristian Debrabant, Andreas Rössler. Analysis of multilevel Monte Carlo path simulation using the Milstein discretisation. Discrete and Continuous Dynamical Systems  B, 2019, 24 (8) : 38813903. doi: 10.3934/dcdsb.2018335 
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Joseph Nebus. The Dirichlet quotient of point vortex interactions on the surface of the sphere examined by Monte Carlo experiments. Discrete and Continuous Dynamical Systems  B, 2005, 5 (1) : 125136. doi: 10.3934/dcdsb.2005.5.125 
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OlliPekka Tossavainen, Daniel B. Work. Markov Chain Monte Carlo based inverse modeling of traffic flows using GPS data. Networks and Heterogeneous Media, 2013, 8 (3) : 803824. doi: 10.3934/nhm.2013.8.803 
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Christopher Bose, Rua Murray. Minimum 'energy' approximations of invariant measures for nonsingular transformations. Discrete and Continuous Dynamical Systems, 2006, 14 (3) : 597615. doi: 10.3934/dcds.2006.14.597 
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Salma Souhaile, Larbi Afifi. Minimum energy compensation for discrete delayed systems with disturbances. Discrete and Continuous Dynamical Systems  S, 2020, 13 (9) : 24892508. doi: 10.3934/dcdss.2020119 
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Adam Bobrowski, Adam Gregosiewicz, Małgorzata Murat. Functionalspreserving cosine families generated by Laplace operators in C[0,1]. Discrete and Continuous Dynamical Systems  B, 2015, 20 (7) : 18771895. doi: 10.3934/dcdsb.2015.20.1877 
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Maria Cameron. Computing the asymptotic spectrum for networks representing energy landscapes using the minimum spanning tree. Networks and Heterogeneous Media, 2014, 9 (3) : 383416. doi: 10.3934/nhm.2014.9.383 
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Zoltán Horváth, Yunfei Song, Tamás Terlaky. Steplength thresholds for invariance preserving of discretization methods of dynamical systems on a polyhedron. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 29973013. doi: 10.3934/dcds.2015.35.2997 
[19] 
Nguyen Thi Bach Kim. Finite algorithm for minimizing the product of two linear functions over a polyhedron. Journal of Industrial and Management Optimization, 2007, 3 (3) : 481487. doi: 10.3934/jimo.2007.3.481 
[20] 
Rafael G. L. D'Oliveira, Marcelo Firer. Minimum dimensional Hamming embeddings. Advances in Mathematics of Communications, 2017, 11 (2) : 359366. doi: 10.3934/amc.2017029 
2020 Impact Factor: 1.327
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