Dr. Yilun Shang

Associate Professor
Tongji University, China


Highest Degree
Ph.D. in Applied Mathematics from Shanghai Jiao Tong University, China

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Area of Interest:

Mathematics
Probability Theory
Synchronization
Population Dynamics
Applied Mathematics

Selected Publications

  1. Shang, Y., 2017. Subspace confinement for switched linear systems. Forum Math., 29: 693-699.
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  2. Shang, Y., 2017. Limit of a nonpreferential attachment multitype network model. Int. J. Modern Phys. B, Vol. 31. 10.1142/S0217979217500266.
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  3. Li, Y., Y. Shang and Y. Yang, 2017. Clustering coefficients of large networks. Inform. Sci., 382-383: 350-358.
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  4. Shang, Y., 2016. On the likelihood of forests. Physica A: Stat. Mech. Applic., 456: 157-166.
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  5. Shang, Y., 2016. Localized recovery of complex networks against failure. Scient. Rep., Vol. 6. 10.1038/srep30521.
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  6. Shang, Y., 2016. Effect of link oriented self-healing on resilience of networks. J. Stat. Mech.: Theory Exp., Vol. 2016. .
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  7. Shang, Y., 2016. Deffuant model of opinion formation in one-dimensional multiplex networks. J. Phys. A: Math. Theor., Vol. 48. .
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  8. Shang, Y., 2016. Bounds of distance Estrada index of graphs. Ars Combinatoria, 128: 287-294.

  9. Shang, Y., 2016. A combinatorial necessary and sufficient condition for cluster consensus. Neurocomputing, 216: 611-616.
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  10. Shang, Y., 2015. Inhomogeneous long-range percolation on the hierarchical lattice. Rep. Math. Phys., 76: 53-61.
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  11. Shang, Y., 2015. Impact of self-healing capability on network robustness. Phys. Rev. E, Vol. 91. 10.1103/PhysRevE.91.042804.
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  12. Shang, Y., 2015. Distance Estrada index of random graphs. Linear Multilinear Algebra, 63: 466-471.
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  13. Shang, Y., 2015. Couple-group consensus of continuous-time multi-agent systems under Markovian switching topologies. J. Franklin Inst., 352: 4826-4844.
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  14. Shang, Y., 2014. Vulnerability of networks: Fractional percolation on random graphs. Phys. Rev. E, Vol. 89. 10.1103/PhysRevE.89.012813.
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  15. Shang, Y., 2014. Unveiling robustness and heterogeneity through percolation triggered by random-link breakdown. Phys. Rev. E, Vol. 90. 10.1103/PhysRevE.90.032820.
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  16. Shang, Y., 2014. More on the normalized Laplacian Estrada index. Applicable Anal. Discrete Math., 8: 346-357.
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  17. Shang, Y., 2014. Group pinning consensus under fixed and randomly switching topologies with acyclic partition. Networks Heterogeneous Media, 9: 553-573.
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  18. Shang, Y., 2014. Consensus formation of two-level opinion dynamics. Acta Math. Sci., 34: 1029-1040.
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  19. Shang, Y., 2014. Average consensus in multi-agent systems with uncertain topologies and multiple time-varying delays. Linear Algebra Applic., 459: 411-429.
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  20. Shang, Y., 2014. An agent based model for opinion dynamics with random confidence threshold. Commun. Nonlinear Sci. Numerical Simul., 19: 3766-3777.
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  21. Shang, Y. and R. Bouffanais, 2014. Influence of the number of topologically interacting neighbors on swarm dynamics. Scient. Rep., Vol. 4. 10.1038/srep04184.
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  22. Shang, Y. and R. Bouffanais, 2014. Consensus reaching in swarms ruled by a hybrid metric-topological distance. Eur. Phys. J. B, Vol. 87. 10.1140/epjb/e2014-50094-4.
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  23. Shang, Y., 2013. The sharp threshold for percolation on expander graphs. Math. Slovaca, 63: 1141-1152.
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  24. Shang, Y., 2013. Optimal control strategies for virus spreading in inhomogeneous epidemic dynamics. Can. Math. Bull., 56: 621-629.

  25. Shang, Y., 2013. Lower bounds for the Estrada index using mixing time and Laplacian spectrum. Rocky Mountain J. Math., 43: 2009-2016.
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  26. Shang, Y., 2013. Large dicliques in a directed inhomogeneous random graph. Int. J. Comput. Math., 90: 445-456.
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  27. Shang, Y., 2013. Deffuant model with general opinion distributions: First impression and critical confidence bound. Complexity, 19: 38-49.
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  28. Shang, Y., 2012. Lack of Gromov-hyperbolicity in small-world networks. Central Eur. J. Math., 10: 1152-1158.
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  29. Shang, Y., 2012. Finite-time consensus for multi-agent systems with fixed topologies. Int. J. Syst. Sci., 43: 499-506.
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  30. Shang, Y., 2012. Distinct clusterings and characteristic path lengths in dynamic small-world networks with identical limit degree distribution. J. Stat. Phys., 149: 505-518.
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  31. Shang, Y., 2012. A central limit theorem for randomly indexed m-dependent random variables. Filomat, 26: 713-717.
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  32. Shang, Y., 2012. A Lie algebra approach to susceptible-infected-susceptible epidemics. Electron. J. Differential Equations, 233: 1-7.
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  33. Shang, Y., W. Luo and S. Xu, 2011. L-hop percolation on networks with arbitrary degree distributions and its applications. Phys. Rev. E, Vol. 84. 10.1103/PhysRevE.84.031113.
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  34. Shang, Y., 2011. Robustness of scale-free networks under attack with tunable grey information. EPL (Europhys. Lett.), Vol. 95. .
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  35. Shang, Y., 2011. Perturbation results for the Estrada index in weighted networks. J. Phys. A: Math. Theor., Vol. 44. .
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  36. Shang, Y., 2011. A note on the 2-connectivity in one-dimensional ad hoc networks. Sci. China Inform. Sci., 54: 123-128.
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  37. Shang, Y., 2010. Multi-agent coordination in directed moving neighbourhood random networks. Chinese Phys. B, Vol. 19. .
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  38. Shang, Y., 2010. Groupies in random bipartite graphs. Applicable Anal. Discrete Math., 4: 278-283.
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  39. Shang, Y., 2010. Degree distributions in general random intersection graphs. Electron. J. Combinatorics, Vol. 17. .
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  40. Shang, Y., 2009. Connectivity in a random interval graph with access points. Inform. Process. Lett., 109: 446-449.
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