𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral properties of the Apollonian network

✍ Scribed by R.F.S. Andrade; J.G.V. Miranda

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
227 KB
Volume
356
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The spectral geometry of the apollonian
The spectral geometry of the apollonian packing
✍ Robert Brooks πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 456 KB

Now let E be a fixed constant, and let x be an arbitrary point in supp(T) lying in this copy of Pick. As in [3], it follows from bounded mean curvature that there is a uniform lower bound for the area of an &-ball in T about x. This &-ball may meet at most a fixed number of copies of pick. Hence we

Network synchronization: Spectral versus
Network synchronization: Spectral versus statistical properties
✍ Fatihcan M. Atay; TΓΌrker BΔ±yΔ±koğlu; JΓΌrgen Jost πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 398 KB

We consider synchronization of weighted networks, possibly with asymmetrical connections. Focusing on causal relations rather than the observed correlations, we show that the synchronizability of networks cannot be directly inferred from their statistical properties. Small local changes in the netwo

Spectral properties of a periodic N Γ— N
Spectral properties of a periodic N Γ— N network of interconnected transmission lines
✍ Laurence Le Floc'h; VΓ©ronique Quintard; Jean-FranΓ§ois Favennec; Yann Boucher πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 526 KB

## Abstract We investigate theoretically and experimentally the spectral behavior of discrete 2D structures of finite size, made of microwave lines periodically interconnected by four‐port networks. Their spectral responses, including forbidden bands, are expressed analytically as functions of a re