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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 & 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 & 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 & Continuous Dynamical Systems  B, 2019, 24 (8) : 38813903. doi: 10.3934/dcdsb.2018335 
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Jiakou Wang, Margaret J. Slattery, Meghan Henty Hoskins, Shile Liang, Cheng Dong, Qiang Du. Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow. Mathematical Biosciences & Engineering, 2006, 3 (4) : 683696. doi: 10.3934/mbe.2006.3.683 
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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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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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