arXiv subjects

A. Telcs

Publications and source records attributed to A. Telcs.

2 recordsLinked to original sources

arXiv2014

Quenched Invariance Principle for the Random Walk on the Penrose Tiling

We consider the simple random walk on the graph corresponding to a Penrose tiling. We prove that the path distribution of the walk converges weakly to that of a non-degenerate Brownian motion for almost every Penrose tiling with respect to the appropriate invariant measure on the set of tilings. Our tool for this is the corrector method.

math.PR↗

arXiv2009

Lobby index in networks

We propose a new node centrality measure in networks, the lobby index, which is inspired by Hirsch's h-index. It is shown that in scale free networks the l-index has power tail with exponent square of the exponent of the degree distribution one. Properties of the l-index and extensions are discussed.

physics.soc-ph↗