Lorentzian inversion and anomalous dimensions in Mellin space

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

3D gravity data-space inversion with sparseness and bound constraints

One of the most remarkable basis of the gravity data inversion is the recognition of sharp boundaries between an ore body and its host rocks during the interpretation step. Therefore, in this work, it is attempted to develop an inversion approach to determine a 3D density distribution that produces a given gravity anomaly. The subsurface model consists of a 3D rectangular prisms of known sizes ...

Null helices in Lorentzian space forms

In this paper we introduce a reference along a null curve in an n-dimensional Lorentzian space with the minimun number of curvatures. That reference generalizes the reference of Bonnor for null curves in Minkowski space-time and it is called the Cartan frame of the curve. The associated curvature functions are called the Cartan curvatures of the curve. We characterize the null helices (that is,...

1-type and biharmonic frenet curves in lorentzian 3-space*

1-type and biharmonic curves by using laplace operator in lorentzian 3-space arestudied and some theorems and characterizations are given for these curves.

Anomalous Dimensions and Splitting Functions

I explicitly calculate the anomalous dimensions and splitting functions governing the Q evolution of the parton densities and structure functions which result from the running coupling BFKL equation at LO, i.e. I perform a resummation in powers of ln(1/x) and in powers of β0 simultaneously. This is extended as far as possible to NLO. These are expressed in an exact, perturbatively calculable an...