87 citations · 1.4k across the 71 of their papers we have counts for
29 papers · 1 filter
The distribution of eccentricities in random regular graphs
Dor Lev-Ari, Ofer Biham, Eytan Katzav
We derive a closed-form analytical expression for the distribution of eccentricities (DoE) in random regular graphs (RRGs) that consist of nodes of degree . The DoE is given…
First-passage processes in a deterministic one-dimensional cellular automaton model of traffic flow
Ofer Biham, Gilad Hertzberg Rabinovich, Eytan Katzav
We present analytical results for first-passage processes in a deterministic one-dimensional cellular automaton (CA) model of traffic flow. Starting at time from a random ini…
Phase transition in evolving networks that combine preferential attachment and random node deletion
Barak Budnick, Ofer Biham, Eytan Katzav
Analytical results are presented for the structure of networks that evolve via a preferential-attachment-random-deletion (PARD) model in the regime of overall network growth and in…
The joint distribution of first return times and of the number of distinct sites visited by a 1D random walk before returning to the origin
Mordechai Gruda, Ofer Biham, Eytan Katzav +1
We present analytical results for the joint probability distribution of first return (FR) times t and of the number of distinct sites s visited by a random walk (…
Analytical results for the distribution of first return times of non-backtracking random walks on configuration model networks
Dor Lev-Ari, Ido Tishby, Ofer Biham +2
We present analytical results for the distribution of first return (FR) times of non-backtracking random walks (NBWs) on undirected configuration model networks consisting of n…
Asymptotic Matching the Self-Consistent Expansion to Approximate the Modified Bessel Functions of the Second Kind
Chanania Steinbock, Eytan Katzav
The self-consistent expansion (SCE) is a powerful technique for obtaining perturbative solutions to problems in statistical physics but it suffers from a subtle problem - too much…