Corpus ID: 235446836

Physics in non-fixed spatial dimensions

  title={Physics in non-fixed spatial dimensions},
  author={I. Kleftogiannis and I. Amanatidis},
We study the quantum statistical electronic properties of random networks which inherently lack a fixed spatial dimension. We use tools like the density of states (DOS) and the inverse participation ratio(IPR) to uncover various phenomena, such as unconventional properties of the energy spectrum and persistent localized states(PLS) at various energies, corresponding to quantum phases with with zerodimensional(0D) and one-dimensional(1D) order. For small ratio of edges over vertices in the… Expand

Figures from this paper


Introduction to Random Graphs
From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understandingExpand
Analysis and Geometry of Metric Measure Spaces
This book contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 summer school was devoted toExpand
Class . Quantum Grav . 28 153001 [ 2 ] Dienes K R
  • 2011
Networks: An Introduction (Oxford
  • 2010
Discrete Comput
  • 2003