Kousuke Yakubo

TL;DR: In this paper, the authors describe the advances that have been made over the past ten years on the problem of fracton excitations in fractal structures, and present a review article useful as a guide to understanding these developments and for charting future research directions.

TL;DR: In this article, anomalous diffusion on fractal networks is discussed. But the authors do not discuss the effect of spin waves in the Anderson transition on the dynamics of the fractal network.

TL;DR: It is found that the mass exponents τ(q) for several deterministic, stochastic, and real-world fractal scale-free networks are nonlinear functions of q, which implies that structural measures of these networks obey the multifractal scaling.

TL;DR: The results show that the urban indicator scales superlinearly with the population, namely, Y(N)∝N(β) with β>1, if Y( N) represents a creative productivity and the indicator scales sublinearly (β<1) if Y-N is related to the degree of infrastructure development.

TL;DR: In this article, the relation between the geometry of a two-dimensional sample and its equilibrium physical properties is exemplified for a system of noninteracting electrons on a M\"obius strip.