A bstract We clarify general mathematical and physical properties of pole-skipping points. For this purpose, we analyse scalar vector fields in hyperbolic space. This setup is chosen because it simple enough to allow us obtain analytical expressions for the Green’s function check everything explicitly, while contains all essential features classify points three types (type-I, II, III). Type-I T...

Our understanding of quantum gravity suggests that at the Planck scale the usual geometry loses its meaning. If so, the quest for grand unification in a large non-Abelian group naturally endowed with the property of asymptotic freedom may also lose its motivation. Instead, we propose a unification of all fundamental interactions at the Planck scale in the form of a universal Landau pole, at whi...

A new method is introduced for parametric modeling of spectral envelopes when only a discrete set of spectral points is given. This method, which we call discrete all-pole (DAP) modeling, uses a discrete version of the Itakura-Saito distortion measure as its error criterion. One result is a new autocorrelation matching condition that overcomes the limitations of linear prediction and produces b...

We extend the technique of asymptotic series matching to exponential asymptotics expansions (transseries) and show that the extension provides a method of nding sin-gularities of solutions of nonlinear diierential equations, using asymptotic information. This transasymptotic matching method is applied to Painlev e's rst equation. The solutions of P1 that are bounded in some direction towards in...

We have proposed previously a kinetochore motor-polar ejection model for chromosome congression to the metaphase plate where forces generated at the kinetochore are antagonized by away-from-the pole forces generated within each half-spindle on the chromosome arms. This model was based in large part on observations of the behavior of chromosomes on monopolar spindles. In these cells chromosomes ...

A reliable and accurate diagnosis of inter-turn short circuit faults is a challenging problem in the area of fault diagnosis of electrical machines. The purpose of this challenge is to be more efficient in fault detection and to provide a reliable method with low-cost sensors and simple numerical algorithms which not only detect the occurrence of the fault, but also locate its position in the w...