N ov 1 99 6 Hierarchical Diffusion , Aging and Multifractality

A pr 1 99 6 Hierarchical Diffusion , Aging and Multifractality Hajime Yoshino

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that an autocorrelation function shows crossover behavior from a power law t−x in the quasi-equilibrium regime (t ≪ tw) to another power law t−λ (λ ≥ x) in the off-equilibrium regime (t ≫ tw) obeying a simple t/tw scaling law. The exponents x and λ ar...

2 7 M ar 1 99 7 A hierarchical model for aging ∗

We present a one dimensional model for diffusion on a hierarchical tree structure. It is shown that this model exhibits aging phenomena although no disorder is present. The origin of aging in this model is therefore the hierarchical structure of phase space.

7 M ay 1 99 7 Diffusion and multifractality at the metal - insulator transition

We review the time evolution of wavepackets at the metal-insulator transition in twoand three-dimensional disordered systems. The importance of scale invariance and multifractal eigenfunction fluctuations is stressed. The implications of the frequencyand wavevector-dependence of the diffusion coefficient are compared with the results of numerical simulations. We argue that network models are pa...

ar X iv : a st ro - p h / 99 11 47 7 v 1 2 6 N ov 1 99 9 Galaxies at z > 5 : The View from Hawaii

We review the properties of z > 5 galaxies studied with HST and with the Keck telescopes, and discuss the detectability of Lyα emission-line galaxies out to z ∼ 6.5 based on these data and ongoing narrowband imaging surveys. The brightest sources may show (R − Z) color breaks, although the high sky background at Z (λeff ≈ 9200 Å), makes such observations challenging for typical faint sources. K...

v 2 6 N ov 1 99 8 ELLIPTICAL GALAXY DYNAMICS