The Wheeler-DeWitt equation for the minimally coupled FRW-massive-scalar-field minisuperspace is written as a two-component Schrödinger equation with an explicitly ‘time’dependent Hamiltonian. This reduces the solution of the Wheeler-DeWitt equation to the eigenvalue problem for a non-relativistic one-dimensional harmonic oscillator and an infinite series of trivial algebraic equations whose it...

The Block Sorting Lossless Data Compression Algorithm (BWT) described by Burrows and Wheeler has received considerable attention. Its compression rates are simliar to context-based methods, such as PPM, but at execution speeds closer to Ziv–Lempel techniques. This paper describes the Lexical Permutation Sorting Algorithm (LPSA), its theoretical basis and delineates its relationship to BWT. In p...

The Regge-Wheeler equation describes the axial perturbations of Schwarzschild metric in linear approximation. We present its exact solutions in terms of the confluent Heun’s functions, the basic properties of the general solution, novel analytical approach and numerical techniques for study of different boundary problems which correspond to quasi-normal modes of black holes and other simple mod...

We study the stochastic colored six vertex (SC6V) model and its fusion. Our main result is an integral expression for natural observables of this model—joint q-moments height functions. This generalises a recent Borodin–Wheeler. The key technical ingredient new relation functions SC6V in neighboring points. independent interest; we refer to it as local relation. As applications, give proof cert...

bzip is a program written by Julian Seward that is often used under Unix to compress single files. It splits the file into blocks which are compressed individually using a combination of the Burrows-Wheeler-Transformation, the Move-To-Front algorithm, Huffman and Runlength encoding. The author himself stated that compressed blocks that are damaged, i.e., part of which are lost, are essentially ...

We propose a renormalization prescription for the Wheeler-DeWitt equation of (3+1)-dimensional Einstein gravity and also propose a strong coupling expansion as an approximation scheme to probe quantum geometry at length scales much smaller than the Planck length. We solve the Wheeler-DeWitt equation to the second order in the expansion in a class of local solutions and discuss problems arising ...

This study is based on a careful analysis of high-quality reflection seismic sections located at the tip NW South China Sea V-shaped rift basin. Using CGN-1 section, line imaging complete sedimentary and magmatic architecture conjugate rifted margins, we: (1) provide detailed description crustal architecture; (2) define extensional domains, which we relate to specific deformation phases; (3) de...

In this paper we describe the Burrows-Wheeler Transform (BWT) a completely new approach to data compression which is the basis of some of the best compressors available today. Although it is easy to intuitively understand why the BWT helps compression, the analysis of BWT-based algorithms requires a careful study of every single algorithmic component. We describe two algorithms which use the BW...