A model of milling process based on Morlet wavelets decomposition of vibroacoustic signals

Khaymovich, Alexandr I.; Prokhorov, S. A.; Stolbova, Anastasia; Kondratyev, Alexandr I.

doi:10.18287/1613-0073-2017-1904-135-140

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…Since numerical analysis of the Anderson model on Z d lattices for small d (mainly up to d = 6 [45,46]) found no such phase, this possibility is clearly linked to the nature of the RRG, or to mean field approximations valid when d → ∞. However, recently in long-range random matrix models such behavior has been found in several models [47][48][49]. More or less simultaneously, it has been proposed that the Anderson model on the RRG might have a new phase within the extended phase (where states span the entire space).…”

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confidence: 99%

Return probability for the Anderson model on the random regular graph

et al. 2018

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We study the return probability for the Anderson model on the random regular graph and give the evidence of the existence of two distinct phases: a fully ergodic and non-ergodic one. In the ergodic phase the return probability decays polynomially with time with oscillations, being the attribute of the Wigner-Dyson-like behavior, while in the non-ergodic phase the decay follows a stretched exponential decay. We give a phenomenological interpretation of the stretched exponential decay in terms of a classical random walker. Furthermore, comparing typical and mean values of the return probability, we show how to differentiate an ergodic phase from a non-ergodic one. We benchmark this method first in two random matrix models, the power-law random banded matrices and the Rosenzweig-Porter matrices, which host both phases. Second, we apply this method to the Anderson model on the random regular graph to give further evidence of the existence of the two phases.

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