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Title:
Two topics on localization
Speaker:
Abstract:
In the first part of my talk I shall discuss some properties of the perturbed exponential random graphs focusing on regular random graphs. It will be shown that if we perturb RRG by the chemical potential for 3-cycles the clusterization phase transition occurs at some critical chemical potential. The spectrum of the network above the phase transition has a two-zonal structure, the spectral statistics in two zones is different and the clusters support the non-ergodization. In the second part of my talk I discuss the localization phenomena from the holographic viewpoint. I shall demonstrate that the emergence of the mobility edge in the Dirac operator spectrum in deconfined QCD is related to the black hole horizon in the holographic dual.
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