Rectangular renormalization

Rectangular renormalization

A generalized real-space renormalization scheme is developed for geometrical critical phenomena The renormalization group is parametrized by the standard length-scaling factor and a new redangular area-fraction factor. This rectangular renormalization scheme utilizes relatively small r e m g u l a r sublanices to effeaively renormalize large square lattices. With the area-fraction factor, one c...

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

Renormalization Group Renormalization Group

Rectangular Partitioning

Motivation The motivation for Rectangular Partitioning comes from my work. The application I help create has forms that can be designed by third parties, and it also has a layout engine that makes it easy to change the layout of a form based on the size of the form and its contents. The layout engine takes as it’s input a table of cells and their contents, along with attributes specifying how a...

Renormalization Returns: Hyper-renormalization and Its Applications

The technique of “renormalization” for geometric estimation attracted much attention when it was proposed in early 1990s for having higher accuracy than any other then known methods. Later, it was replaced by minimization of the reprojection error. This paper points out that renormalization can be modified so that it outperforms reprojection error minimization. The key fact is that renormalizat...