Black Hole Entropy” O. B. Zaslavskii Department of Physics, Kharkov State University, Svobody Sq.4, Kharkov 310077, Ukraine E-mail: [email protected] A. Ghosh and P. Mitra made the proposal how to explain the area law for the entropy of extreme black holes in some model calculations. I argue that their approach implicitly operates with strongly singular geometries and says nothing about t...

The symmetry number of a tree is defined as the number of nodes of the maximum subtree of the tree that exhibits axial symmetry. The best previous algorithm for computing the symmetry number for an unrooted unordered tree is due to Mitra et al. [8] and runs in O(n) time. In this paper we show an improvement on this time complexity by encoding small trees. Our algorithm runs in time O(n(log logn...

Classical stability behaviors of various static black brane backgrounds under small perturbations have been summarized briefly. They include cases of black strings in AdS5 space, charged black p-brane solutions in the type II supergravity, and the BTZ black string in four-dimensions. The relationship between dynamical stability and local thermodynamic stability the so-called Gubser-Mitra conjec...

Dynamic pricing models for network traffic often aim at deriving some relation between charges and current utilization of the network. This paper deals with such a price function that is a by-product of Kelly’s bound for the loss rate in highly connected networks and shows how the Refined Uniform Asymptotic Approximation RUAA, developed by Mitra et al., can be used to generalize the original ap...

RE PR INT The helicity constraint in spherical shell dynamos A. Brandenburg, P. J. Käpylä, D. Mitra, D. Moss, and R. Tavakol 1 NORDITA, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden 2 Observatory, University of Helsinki, PO Box 14, FI-00014 University of Helsinki, Finland 3 School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK 4 School of Mathem...

We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of a vertex space into a tree of (strongly) relatively hyperbolic spaces satisfying the qi-embedded condition. This implies the same result for inclusion of vertex (or edge) subgroups in finite graphs of (strongly) relatively hyperbolic groups. This generalises a result of Bowditch for punctured su...

We develop a political-economic model of sovereign debt that shows that income inequality leads to popular pressures on the government to use foreign debt to Þnance a redistribution of income at the expense of productive public investment. Recognizing this fact international lenders impose credit ceilings with the consequence that developing country borrowers invest less and grow slower. ∗We ar...