We present supersymmetric solutions describing black holes with non-vanishing angular momentum in four dimensional asymptotically flat space. The solutions are obtained by Kaluza-Klein reduction of five-dimensional supersymmetric black rings wrapped on the fiber of a Taub-NUT space. We show that in the four-dimensional description the singularity of the nut can be hidden behind a regular black ...

Let r(= r(n))!1 with 3 r n1 for an arbitrarily small constant > 0, and let Gr denote a graph chosen uniformly at random from the set of r-regular graphs with vertex set f1; 2; : : : ; ng. We prove that with probability tending to 1 as n!1, Gr has the following properties: the independence number of Gr is asymptotically 2n log r r and the chromatic number of Gr is asymptotically r 2 log r .

In this paper, the two-stage procedure is considered for autoregressive parameters estimation in the p-order autoregressive model ( AR(p)). The point estimation and fixed-size confidence ellipsoids construction are investigated which are based on least-squares estimators. Performance criteria are shown including asymptotically risk efficient, asymptotically efficient, and asymptotically consist...

*Correspondence: [email protected] 2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China Full list of author information is available at the end of the article Abstract In this paper, a new nonlinear mapping, asymptotically strict quasi-φ-pseudocontraction in the intermediate sense, is introduced. Projection algorithms are considered for ...

Abstract Asymptotically safe gravity is based on the idea that main contribution to Schwarzschild-like black hole spacetime due value of gravitational coupling which depends distance from origin and approaches its classical in far zone. However, at some stage this approach has an arbitrariness choice identification parameter. The two cases are considered here: first, by modified proper length (...