1 citations · 2 across the 5 of their papers we have counts for
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Electrostatic approximation of source-to-target mean first passage times on lattices
Anthony P. Roberts, Christophe P. Haynes
We demonstrate that the source to target mean first passage time (MFPT) is approximately given by the potential difference of an electrostatic problem which shows that the MFPT sca…
Diffusion on asymmetric fractal networks
Christophe P. Haynes, Anthony P. Roberts
We derive a renormalization method to calculate the spectral dimension of deterministic self-similar networks with arbitrary base units and branching constants. The gener…
Generalisation of the fractal Einstein law relating conduction and diffusion on networks
Anthony P. Roberts, Christophe P. Haynes
In the 1980s an important goal of the emergent field of fractals was to determine the relationships between their physical and geometrical properties. The fractal-Einstein and Alex…
Global first passage times on fractal lattices
C. P. Haynes, A. P. Roberts
The global first passage time density of a network is the probability that a random walker released at a random site arrives at an absorbing trap at time T. We find simple expressi…