9 citations · 12 across the 2 of their papers we have counts for
9 papers
The Hausdorff dimension of fractal sets and fractional quantum Hall effect
Wellington da Cruz
We consider Farey series of rational numbers in terms of {\it fractal sets} labeled by the Hausdorff dimension with values defined in the interval 1 and…
Fractal von Neumann entropy
Wellington da Cruz
We consider the {\it fractal von Neumann entropy} associated with the {\it fractal distribution function} and we obtain for some {\it universal classes h of fractons} their entropi…
Fractal statistics, fractal index and fractons
Wellington da Cruz
The concept of fractal index is introduced in connection with the idea of universal class of particles or quasiparticles, termed fractons, which obey fractal statistics. We sho…
Fractal index, central charge and fractons
Wellington da Cruz, Rosevaldo de Oliveira
We introduce the notion of fractal index associated with the universal class of particles or quasiparticles, termed fractons, which obey specific fractal statistics. A connecti…
Fractons and Fractal Statistics
Wellington da Cruz
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimensi…
A note on Farey sequences and Hausdorff dimension
Wellington da Cruz
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension defined within the interval 1 <…