Virasoro blocks at large exchange dimension

Critical Phenomena for Electronic Structure at the Large-Dimension Limit.

We show that the symmetry breaking of the electronic structure configurations at the large-D limit is completely analogous to the standard phase transitions and critical phenomena in statistical mechanics. Electronic structure at the large-D limit exhibits critical points with mean field critical exponents (b ­ 1 2 , a ­ 0dis, d ­ 3, and g ­ 1). The complete mapping is presented for the Hartree...

Effect of large blocks position on stability analysis of block-in-matrix slopes

Bimrocks are complex geomaterials that are defined as mixtures of rocks composed of geotechnically significant blocks within a matrix of finer texture. Bimslopes are made from bimrocks and are usually seen in weathered and shallow environments. Some characteristics of blocks affecting the strength of bimrocks include VBP (Volumetric Block Proportion), orientation, and arrangement, which have im...

Statistic under Large Dimension

Sample covariance matrices are also of essential importance in multivariate statistical analysis because many test statistics involve their eigenvalues and/or eigenvectors. The typical example is T 2 statistic, which was proposed by Hotelling [2]. We refer to [1] and [3] for various uses of the T 2 statistic. The T 2 statistic, which is the origin of multivariate linear hypothesis tests and the...

Fractal dimension and earthquake frequency-magnitude distribution in the North of Central-East Iran Blocks (NCEIB)

The Gutenberg–Richter parameters (a and b), fractal dimension (DC), and relationships between these parameters are calculated for different regions of the North of Central-East Iran Blocks (NCEIB). The whole examined area (between 34°-36° N and 55°-61° E) is divided into 55 equal square grids. Both the a and b values for the frequency-magnitude distribution (FMD) and the fractal dimension (DC) ...

Load Balancing by Finite Dimension Exchange Algorithms