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职业迁徙
个人简介
In the framework of complex networks and systems, my current research activities can roughly be grouped into three categories as follows.
1. Physical and functional properties of complex networks.
Robustness and resilience of complex networks using percolation theory, probabilistic analysis, master equations, network-theoretic methods, and numerical simulations; Information diffusion and epidemic disease models using graph theory, ordinary/partial/stochastic differential equations, stochastic processes, stability theory, Lie algebra method, and numerical simulations.
2. Mathematical properties of complex network models and random graphs.
Combinatorial study of various random graph models, including E-R random graph, Chung-Lu model, random regular graphs, random intersection graphs, random geometric graphs, inhomogeneous random graphs, stochastic block models, networks of networks; Topological and geometric properties including degree distribution, distance, Hamiltonian path, cycles, connectivity, connected components, clustering coefficient, chromatic number, clique number, independence number, hierarchical self-similarity, expander properties, Gromov hyperbolicity, random walks, graphon, and various algebraic graph indices.
3. Nonlinear dynamical systems and collective behaviours in complex systems.
Social/biological dynamics over complex networks (including opinion evolutions, information diffusion, and swarm dynamics); Synchronization phenomenon and consensus problems in multi-agent systems with applications in system engineering using control theory, matrix theory, optimization methods, and numerical simulations.
Opportunities to carry out postgraduate research towards a PhD/MSc by research exist in all the areas of interest identified above. I’m always open to suggestions for PhD/MSc topics in my research area of complex networks and systems.
1. Physical and functional properties of complex networks.
Robustness and resilience of complex networks using percolation theory, probabilistic analysis, master equations, network-theoretic methods, and numerical simulations; Information diffusion and epidemic disease models using graph theory, ordinary/partial/stochastic differential equations, stochastic processes, stability theory, Lie algebra method, and numerical simulations.
2. Mathematical properties of complex network models and random graphs.
Combinatorial study of various random graph models, including E-R random graph, Chung-Lu model, random regular graphs, random intersection graphs, random geometric graphs, inhomogeneous random graphs, stochastic block models, networks of networks; Topological and geometric properties including degree distribution, distance, Hamiltonian path, cycles, connectivity, connected components, clustering coefficient, chromatic number, clique number, independence number, hierarchical self-similarity, expander properties, Gromov hyperbolicity, random walks, graphon, and various algebraic graph indices.
3. Nonlinear dynamical systems and collective behaviours in complex systems.
Social/biological dynamics over complex networks (including opinion evolutions, information diffusion, and swarm dynamics); Synchronization phenomenon and consensus problems in multi-agent systems with applications in system engineering using control theory, matrix theory, optimization methods, and numerical simulations.
Opportunities to carry out postgraduate research towards a PhD/MSc by research exist in all the areas of interest identified above. I’m always open to suggestions for PhD/MSc topics in my research area of complex networks and systems.
研究兴趣
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HELIYONno. 4 (2024): e25654-e25654
RESEARCH IN MATHEMATICSno. 1 (2024)
Heliyonno. 6 (2024): e27756-e27756
RESEARCH IN MATHEMATICSno. 1 (2024)
JOURNAL OF MATHEMATICS (2024)
MATHEMATICSno. 2 (2024): 192
Journal of Complex Networksno. 2 (2023): 509-512
SYSTEMS & CONTROL LETTERS (2023): 105509
IEEE Transactions on Systems, Man, and Cybernetics: Systemsno. 3 (2023): 1656-1665
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