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Amikam Patron

Amikam Patron

Amikam Patron

  • Complex Networks, Percolation Theory, Mathematical Optimization.

    • Optimal Strategies for strengthening or dismantling structures of random networks.
    • Percolation on random networks.
    • Structure of random networks with special topologies such as communities, correlations between the nodes' degrees and networks dependencies.
    • Development of optimal methods for maximizing network's survivability in states of an attack against the network
    • Development of optimal methods for dismantling structures of random networks
    • Development of percolation theory in complex networks
    • Characterization of structures of random networks, including special topologies such as correlations, communities, and network dependencies
    • The research findings could be a useful tool in the network design stage, for improving the network survivability in states of network nodes removal (such as attacks, nodes aging, etc.).
    • The research findings could be a useful tool for dismantling structures of random networks, in states where an undesired phenomenon propagates in the network (like diseases in social networks, fires in forests, etc.).  

  • My current research deals with random networks with correlations between the degrees of the network's nodes, both in the assortative case (trend of a node to be linked to nodes which are similar to it in some way) and the disassortative case (trend of a node to be linked to nodes which are different from it). Firstly, I try to understand the structures of this networks type, and then I try to develop optimal methods for strengthening or dismantling structures of networks of this type.

    The research is done in collaboration with Prof. Reuven Cohen of the Department of Mathematics, Bar-Ilan University, Israel.

    • Patron and R. Cohen, Optimal resource allocation for network functionality, New Journal of Physics. Accepted for publication, 2020.

     

    • Lin, A. Patron, S. Guo. R. Kang, D. Li, S. Havlin, and R. Cohen, Design of survivable networks in the presence of aging, Europhysics Letters (EPL) 122 36003, 2018.

    An equal contribution to the paper by Y. Lin and A. Patron.

     

    • Patron, R. Cohen, D. Li and S. Havlin, Optimal cost for strengthening or destroying a given network. Physical Review E 95, 052395, 2017.