Harmonic analysis on inhomogeneous amenable networks and the Bose--Einstein condensation

Abstract

We study in detail relevant spectral properties of the adjacency matrix of inhomogeneous amenable networks, and in particular those arising by negligible additive perturbations of periodic lattices. The obtained results are deeply connected to the systematic investigation of the Bose--Einstein condensation for the so called Pure Hopping model describing the thermodynamics of Bardeen--Cooper pairs of Bosons in arrays of Josephson junctions.

References in corpus (3)

• Bose-Einstein condensation of photons in an optical microcavity
• Bose-Einstein Condensation on inhomogeneous complex networks
• Bose Einstein condensation on inhomogeneous amenable graphs

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• A model of Josephson Junctions on Boson Systems - Currents and Entropy Production Rate -
• Remarks on BEC on graphs
• Quantum Coherence in Loopless Superconductive Networks