7 citations · 11 across the 20 of their papers we have counts for
9 papers · 1 filter
Thermodynamics for Fractal Statistics
Wellington da Cruz
We consider for an anyon gas its termodynamics properties taking into account the fractal statistics obtained by us recently. This approach describes the anyonic excitations in ter…
Hausdorff dimension, anyonic distribution functions, and duality
Wellington da Cruz
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension and as an example of such anyonic systems, we co…
Duality and anyonic excitations
Wellington da Cruz
We consider anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, and introduce the concept of duality between such classes, defined by $\tild…
Hausdorff dimension and anyonic distribution functions
Wellington da Cruz
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, and as an example of such anyonic systems, we c…
A note on exclusion statistics parameter and Hausdorff dimension
Wellington da Cruz
We obtain for an anyon gas in the high temperature limit a relation between the exclusion statistics parameter and the Hausdorff dimension , given by . The anyonic…
On Anyonic Propagators
Wellington da Cruz
We consider a simple action for a fractional spin particle and a path integral representation for the propagator is obtained in a gauge such that the constraint embodied in the Lag…
Filling factors and Braid group
Wellington Cruz
We extract the Braid group structure of a recently derived hierarchy scheme for the filling factors proposed by us which related the Hausdorff dimension, , to statistics, , o…
Hausdorff dimension and filling factor
Wellington Cruz
We propose a new hierarchy scheme for the filling factor, a parameter which characterizes the occurrence of the Fractional Quantum Hall Effect (FQHE). We consider the Hausdorff dim…
Hausdorff dimension, fractional spin particles and Chern-Simons effective potential
Wellington da Cruz
We obtain for any spin, , the Hausdorff dimension, , for fractional spin particles and we discuss the connection between this number, , and the Chern-Simons potent…