Reconstruction of smeared spectral functions from Euclidean correlation functions

Describing Charmonium Correlation Functions in Euclidean Time

We present a detailed investigation of the quark mass-dependence of charmonium correlators in Euclidean-time obtained using a potential model, as well as the comparison with results on isotropic lattice calculations performed at several lattice spacings.

Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data

Abstract. This paper addresses the recovery of piecewise smooth functions from their discrete data. Reconstruction methods using both pseudo-spectral coefficients and physical space interpolants have been discussed extensively in the literature, and it is clear that an a priori knowledge of the jump discontinuity location is essential for any reconstruction technique to yield spectrally accurat...

Spectral Reconstruction of Piecewise Smooth Functions

On images of continuous functions from a compact manifold to Euclidean space

Efficient reconstruction of multiphase morphologies from correlation functions.

A highly efficient algorithm for the reconstruction of microstructures of heterogeneous media from spatial correlation functions is presented. Since many experimental techniques yield two-point correlation functions, the restoration of heterogeneous structures, such as composites, porous materials, microemulsions, ceramics, or polymer blends, is an inverse problem of fundamental importance. Sim...