Author

Guy Amit

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Preprint Oct 2026

Percolation on interdependent one-dimensional long-range networks

We study the emergence of a mutual giant component in a multiplex network comprised of two one-dimensional long-range networks on a lattice. The probability that two nodes on one lattice, with a distance $r$ between them, are connected with an edge falls algebraically with distance as $Cr^{-(1+\sigma)}$, where $0<\sigm...

Adar Sharabi, A. Bashan, S. Buldyrev et al. · 1 citation

Preprint Oct 2026

Explicit upper bounds on the threshold of one-dimensional long-range percolation

We study bond percolation on the one-dimensional lattice in which two sites at distance $r$ are connected with probability $p_r=C/r^{1+\sigma}$, where $0<\sigma<1$. An infinite cluster exists if $C$ exceeds a critical value $C_c(\sigma)$, which is not known exactly: the available results are the lower bound of Schulman...

Guy Amit · 0 citations