We simulate the phase diagram and critical behavior of $q$-state clock model on square lattice by using state-of-the-art loop optimization for tensor-network renormalization (loop-TNR) algorithm. The two transition points $q\ensuremath{\ge}5$ are determined with very high accuracy. Furthermore, computing conformal scaling dimensions both points, we able to determine radius $R$ compactified boso...

In the complex-Riemannian framework we show that a conformal manifold containing a compact, simply-connected, null-geodesic is conformally flat. In dimension 3 we use the LeBrun correspondence, that views a conformal 3-manifold as the conformal infinity of a selfdual four-manifolds. We also find a relation between the conformal invariants of the conformal infinity and its ambient.

Introduction: The use of electronic portal imaging devices (EPIDs) is a method for the dosimetric verification of radiotherapy plans both pretreatment and in-vivo. The aim of this study was to test a 2D EPID-based dosimetry algorithm for dose verification of some plans inside a homogenous and anthropomorphic phantom and in-vivo, as well. Materials and Methods: </strong...

We holographically calculate the partition functions of certain types isotropic sectors CFTs dual to Bruhat-Tits trees and $p$-adic BTZ black holes. Along way, we propose new spectral decompositions Laplacian operator other than plane-wave basis on these two background, with both analytical numerical evidence. extract density states hence entropy from function via inverse Laplace transform. The...

As the important case of conformal arrays, conformal arrays on cylindrical surfaces have been widely used in radar and communication systems. This paper explores the chances of designing conformal reflectarray on cylindrical platform. An extended array theory method is proposed in this paper for analyzing the radiation patterns of cylindrical conformal reflectarray. The radiation characteristic...

in this short review we look at recent advances in schramm-loewner evolution (sle) theory and its application to critical phenomena. the application of sle goes beyond critical systems to other time dependent, scale invariant phenomena such as turbulence, sand-piles and watersheds. through the use of sle, the evolution of conformally invariant paths on the complex plane can be followed; hence a...

binary decision diagram (bdd) is a data structure proved to be compact in representation and efficient in manipulation of boolean formulas. using binary decision diagram in network reliability analysis has already been investigated by some researchers. in this paper we show how an exact algorithm for network reliability can be improved and implemented efficiently by using cudd - colorado univer...