We derive all the axi-symmetric, vacuum and electrovac extremal isolated horizons. It turns out that for every horizon in this class, the induced metric tensor, the rotation 1-form potential and the pullback of the electromagnetic field necessarily coincide with those induced by the monopolar, extremal Kerr– Newman solution on the event horizon. We also discuss the general case of a symmetric, ...

Let W (̟k) be the finite-dimensional irreducible module over a quantized affine algebra U ′ q(g) with the fundamental weight ̟k as an extremal weight. We show that its crystal B(W (̟k)) is isomorphic to the Demazure crystal B −(−Λ0 +̟k). This is derived from the following general result: for a dominant integral weight λ and an integral weight μ, there exists a unique homomorphism Uq(g)(uλ⊗ uμ) → V ...

This paper introduces a novel real-time framework which enables detection, tracking and recognition of license plates from video sequences. An efficient algorithm based on analysis of Maximally Stable Extremal Region (MSER) detection results allows localization of international license plates in single images without the need of any learning scheme. After a one-time detection of a plate it is r...

The extremal dependence of a random vector describes the tail behaviors of joint probabilities of the random vector with respect to that of its margins, and has been often studied by using the tail dependence function of its copula. A tail density approach is introduced in this paper to analyze extremal dependence of the copulas that are specified only by densities. The relation between the cop...