Network-type’ problems (for example, internet reliability and security, genetic regulation, transportation, utilities and communication infrastructure) are one of the emergent themes of 21st century science. Despite these diverse fields of application, and the varied methods of study used across these different fields, it has become increasingly clear that substantial scientific progress can be made by considering commonalities both through mathematical abstraction, using notation and ideas from graph theory and statistical physics, and through quantitative study of datasets.
Collective behaviour problems arise in a similarly broad range of situations: obvious examples from the natural world include human crowd dynamics, animal social groups, herding, swarming and shoaling behaviours. By analogy these descriptions have crossed into many other fields, notably as descriptions of behaviour in economics and financial markets. ‘Network-type’ and collective behaviour problems exhibit similarities, for example both tend to be concerned with the emergence of overall behaviour on a system-wide scale from interactions at the level of individuals, where each individual directly influences only a subset of other individuals. It is therefore natural to consider these apparently different topics under the same theme and to initiate discussions and collaborations between researchers across both areas.
In this workshop, we will invite excellent specialists in applied mathematics, numerical computing and graph theory to exchange their ideas, communicate the latest research results and develop further collaborations. We expect that after the workshop all participants will have a better understanding of the state-of-the-arts of the area and will have gained impetus to further investigate important problems in the area as well as new problems that will certainly come out of the workshop. Topics included but not limited to the following areas: Social network model in modularity and community detection; Random network models, generation and simulation; Dynamics on networks, such as temporal networks; Open problems in Graph theory and algorithms.
01月09日
2017
01月13日
2017
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2018年12月10日 中国
三亚国际数学论坛:Mathematical Theory Applied in Coding and Cryptography2018年08月27日 中国
三亚国际数学论坛:Theory of Banach Spaces and Related Topics2018年06月04日 中国
三亚国际数学论坛:Modeling, Analysis, Simulations and Applications of Inter-Facial Dynamics and FSI Problems2018年05月14日 中国
三亚国际数学论坛:Recent Advances in Convex Geometry and Geometric Functional Analysis2018年04月09日 中国
三亚国际数学论坛:Asymptotic, Algebraic and Geometric Aspects of Integrable Systems2018年03月12日 中国
三亚国际数学论坛:Partial Differential Equations in Geometry and Physics2018年03月12日 中国
三亚国际数学论坛:Algorithmic Game Theory and Internet Economics2018年02月26日 中国
三亚国际数学论坛:Nonlinear Partial Differential Equations and Related Topics2018年02月26日 中国
三亚国际数学论坛:Global Differential Geometry2018年01月29日 中国
三亚国际数学论坛:Young Geometric Analysts
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