From the 1 of 9 linked papers with an AI index.
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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 (…
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…
Effects of self-avoidance on the packing of stiff rods on ellipsoids
Doron Grossman, Eytan Katzav
Using a statistical-mechanics approach, we study the effects of geometry and self-avoidance on the ordering of slender filaments inside non-isotropic containers, considering cortic…