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→应用
=== 1. 分子构象动力学：把大量分子形状合并成少数稳定形状 ===
=== 分子构象动力学：把大量分子形状合并成少数稳定形状 ===
代表文献： Kube & Weber, 2007, *A coarse graining method for the identification of transition rates between molecular conformations*。
代表文献： Kube & Weber, 2007, *A coarse graining method for the identification of transition rates between molecular conformations*。
=== 3. 生化反应网络：把复杂的分子组合合并成可计算的状态 ===
=== 生化反应网络：把复杂的分子组合合并成可计算的状态 ===
代表文献：Ganguly, Petrov & Koeppl, 2014, *Markov chain aggregation and its applications to combinatorial reaction networks*；Petrov, 2019, *Markov chain aggregation and its application to rule-based modelling*。
代表文献：Ganguly, Petrov & Koeppl, 2014, *Markov chain aggregation and its applications to combinatorial reaction networks*；Petrov, 2019, *Markov chain aggregation and its application to rule-based modelling*。
=== 4. 化学反应网络长期行为：把分子数状态合并成“能自我维持的物种集合”===
=== 化学反应网络长期行为：把分子数状态合并成“能自我维持的物种集合”===
代表文献：Mu et al., 2018, *Organisation-Oriented Coarse Graining and Refinement of Stochastic Reaction Networks*。
代表文献：Mu et al., 2018, *Organisation-Oriented Coarse Graining and Refinement of Stochastic Reaction Networks*。
=== 5. 网络社团检测：把节点合并成社团 ===
=== 网络社团检测：把节点合并成社团 ===
代表文献：Piccardi, 2011, *Finding and Testing Network Communities by Lumped Markov Chains*。
代表文献：Piccardi, 2011, *Finding and Testing Network Communities by Lumped Markov Chains*。
=== 6. 城市交通与出租车流：把细空间单元合并成功能区域 ===
=== 城市交通与出租车流：把细空间单元合并成功能区域 ===
代表文献：Zhang & Wang, 2020, *Spectral State Compression of Markov Processes*；Duan, Ke & Wang, 2019, *State Aggregation Learning from Markov Transition Data*。
代表文献：Zhang & Wang, 2020, *Spectral State Compression of Markov Processes*；Duan, Ke & Wang, 2019, *State Aggregation Learning from Markov Transition Data*。
=== 7. 海洋流与空间流动：把细网格合并成大尺度流动区域 ===
=== 海洋流与空间流动：把细网格合并成大尺度流动区域 ===
代表文献：Faccin, Schaub & Delvenne, 2021, *State aggregations in Markov chains and block models of networks*。
代表文献：Faccin, Schaub & Delvenne, 2021, *State aggregations in Markov chains and block models of networks*。
=== 8. Agent-based model 与观点动力学：把个体配置合并成宏观社会状态 ===
=== Agent-based model 与观点动力学：把个体配置合并成宏观社会状态 ===
代表文献：Banisch, Lima & Araújo, 2012, *Agent Based Models and Opinion Dynamics as Markov Chains*。
代表文献：Banisch, Lima & Araújo, 2012, *Agent Based Models and Opinion Dynamics as Markov Chains*。
=== 9. 排队网络与计算机系统：把复杂系统状态合并成性能状态 ===
=== 排队网络与计算机系统：把复杂系统状态合并成性能状态 ===
代表文献：Song & Takahashi, 1991, *Aggregate Approximation for Tandem Queueing Systems with Production Blocking*；Gambin, Krzyżanowski & Pokarowski, 2008, *Aggregation algorithms for perturbed Markov chains with applications to networks modeling*。
代表文献：Song & Takahashi, 1991, *Aggregate Approximation for Tandem Queueing Systems with Production Blocking*；Gambin, Krzyżanowski & Pokarowski, 2008, *Aggregation algorithms for perturbed Markov chains with applications to networks modeling*。