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A Generalization of both the Method of Images and of the Classical Integral Transforms
Athanassios S. Fokas, Daniel ben-Avraham
A new method for the solution of initial-boundary value problems for evolution PDEs recently introduced by Fokas is generalised to multidimensions. Also the relation of this method…
Geographical Embedding of Scale-Free Networks
Daniel ben-Avraham, Alejandro F. Rozenfeld, Reuven Cohen +1
A method for embedding graphs in Euclidean space is suggested. The method connects nodes to their geographically closest neighbors and economizes on the total physical length of li…
Universality Class of Two-Offspring Branching Annihilating Random Walks
Dexin Zhong, Daniel ben-Avraham
We analyze a two-offspring Branching Annihilating Random Walk ( BAW) model, with finite annihilation rate. The finite annihilation rate allows for a dynamical phase transition…
Inter-Particle Distribution Functions for One-Species Diffusion-Limited Annihilation, A+A->0
Pablo A. Alemany, Daniel ben-Avraham
Diffusion-limited annihilation, , and coalescence, , may both be exactly analyzed in one dimension. While the concentrations of particles in the two process…
Diffusion-Limited Coalescence with Finite Reaction Rates in One Dimension
Dexin Zhong, Daniel ben-Avraham
We study the diffusion-limited process in one dimension, with finite reaction rates. We develop an approximation scheme based on the method of Inter-Particle Distributio…