195 citations · 1.2k across the 53 of their papers we have counts for
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Wave propagation in one-dimension: Methods and applications to complex and fractal structures
Eric Akkermans, Gerald Dunne, Eli Levy
This chapter is a pedagogical review of methods and results for studying wave propagation in one-dimensional complex structures. We describe and compare the tight-binding, scatteri…
Spontaneous Emission from a Fractal Vacuum
Eric Akkermans, Evgeni Gurevich
Spontaneous emission of a quantum emitter coupled to a QED vacuum with a deterministic fractal structure of its spectrum is considered. We show that the decay probability does not…
Statistical Mechanics and Quantum Fields on Fractals
Eric Akkermans
Fractals define a new and interesting realm for a discussion of basic phenomena in quantum field theory and statistical mechanics. This interest results from specific properties of…
Spatial Log Periodic Oscillations of First-Passage Observables in Fractals
Eric Akkermans, Olivier Benichou, Gerald Dunne +2
For transport processes in geometrically restricted domains, the mean first-passage time (MFPT) admits a general scaling dependence on space parameters for diffusion, anomalous dif…