Results 1 - 10 of 60

The Quickhull algorithm for convex hulls

by C. Bradford Barber, David P. Dobkin, Hannu Huhdanpaa - ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE , 1996
"... The convex hull of a set of points is the smallest convex set that contains the points. This article presents a practical convex hull algorithm that combines the two-dimensional Quickhull Algorithm with the general-dimension Beneath-Beyond Algorithm. It is similar to the randomized, incremental algo ..."
Abstract - Cited by 713 (0 self) - Add to MetaCart
algorithms for convex hull and Delaunay triangulation. We provide empirical evidence that the algorithm runs faster when the input contains nonextreme points and that it uses less memory. Computational geometry algorithms have traditionally assumed that input sets are well behaved. When an algorithm

Harmonic superpositions of non-extremal p-branes

by I. V. Lavrinenko, H. Lü, C. N. Pope, T. A. Tran - Int. J. Mod. Phys , 1998
"... The plot of allowed p and D values for p-brane solitons in D-dimensional supergravity is the same whether the solitons are extremal or non-extremal. One of the useful tools for relating different points on the plot is vertical dimensional reduction, which is possible if periodic arrays of p-brane so ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
The plot of allowed p and D values for p-brane solitons in D-dimensional supergravity is the same whether the solitons are extremal or non-extremal. One of the useful tools for relating different points on the plot is vertical dimensional reduction, which is possible if periodic arrays of p

Prepared for submission to JHEP Phases of non-extremal multi-centered bound states

by Borun D. Chowdhury, A Daniel R. Mayerson, B Bert Vercnockec
"... Abstract: We investigate the phase space of multi-centered near-extremal configurations previously studied in arXiv:1108.5821 [1] and arXiv:1110.5641 [2] in the probe limit. We confirm that in general the energetically favored ground state of the multi-center potential, which can be a single or mult ..."
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limit and rectify it. We also demonstrate that static supertubes can exist inside ergoregions where ordinary point particles would be frame dragged.

Entropy Function for Non-extremal D1D5 and D2D6NS5-branes

by Mohammad R. Garousi, Ahmad Ghodsi , 705
"... We apply the entropy function formalism to non-extremal D1D5 and D2D6NS5branes whose throat approximation is given by the Schwarzschild black hole in AdS3× S 3 × T 4 and AdS3 × S 2 × S 1 × T 4, respectively. We find the Bekenstein-Hawking entropy and the (α ′ ) 3 R 4 corrections from the value of th ..."
Abstract - Cited by 4 (0 self) - Add to MetaCart
We apply the entropy function formalism to non-extremal D1D5 and D2D6NS5branes whose throat approximation is given by the Schwarzschild black hole in AdS3× S 3 × T 4 and AdS3 × S 2 × S 1 × T 4, respectively. We find the Bekenstein-Hawking entropy and the (α ′ ) 3 R 4 corrections from the value

2000]Primary: 30A78, 46E15; Secondary: 32A36 STRONGLY EXPOSED POINTS IN THE BALL OF THE

by Bergman Space , 2002
"... Abstract. We investigate which boundary points in the closed unit ball of the Bergman space A 1 are strongly exposed. This requires study of the Bergman projection and its kernel, the annihilator of Bergman space. We show that all polynomials in the boundary of the unit ball are strongly exposed. 1. ..."
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. Introduction. In Banach space theory one often seeks to determine the geometry of the unit ball of a given Banach space. A common way to distinguish “round” and “flat ” parts of the boundary of the unit ball is through extreme and nonextreme points. Among the extreme points, or “round ” parts of the boundary,

BPS saturated and non-extreme states in abelian Kaluza-Klein theory and effective N = 4 supersymmetric string vacua, arXiv:hep-th/9508058; M. Cvetic and D. Youm, All the static spherically symmetric black holes of heterotic string on a six torus, Nucl. Ph

by Mirjam Cvetič, Donam Youm - B , 1996
"... We summarize results for all four-dimensional Bogomol’nyi-Sommerfield-Prasat (BPS) saturated and non-extreme solutions of the (4+n)-dimensional Abelian Kaluza-Klein theory. Within effective N = 4 supersymmetric string vacua, parameterized in terms of fields of the heterotic string on a six-torus, we ..."
Abstract - Cited by 17 (2 self) - Add to MetaCart
with the corresponding set of non-extreme solutions, are regular with non-zero masses. BPS saturated states with the negative charge norms are singular, unaccompanied by non-extreme solutions and become massless at particular points of the moduli space. The role that such massless states may play in the enhancement

The Non-BPS Black Hole Attractor Equation

by Renata Kallosh , Navin Sivanandam, Masoud Soroush , 2008
"... We study the attractor mechanism for extremal non-BPS black holes with an infinite throat near horizon geometry, developing, as we do so, a physical argument as to why such a mechanism does not exist in non-extremal cases. We present a detailed derivation of the non-supersymmetric attractor equati ..."
Abstract - Cited by 65 (3 self) - Add to MetaCart
We study the attractor mechanism for extremal non-BPS black holes with an infinite throat near horizon geometry, developing, as we do so, a physical argument as to why such a mechanism does not exist in non-extremal cases. We present a detailed derivation of the non-supersymmetric attractor

On Three-point Functions in the AdS4/CFT3 Correspondence

by Agnese Bissi, Charlotte Kristjansen, Ara Martirosyan, Marta Orselli
"... We calculate planar, tree-level, non-extremal three-point functions of operators belong-ing to the SU(2)×SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the SU(2) sector ofN = 4 SYM, to the present case and find that, u ..."
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We calculate planar, tree-level, non-extremal three-point functions of operators belong-ing to the SU(2)×SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the SU(2) sector ofN = 4 SYM, to the present case and find that

Tachyon condensation and black strings

by Gary T. Horowitz - JHEP , 2005
"... We show that under certain conditions, closed string tachyon condensation produces a topology changing transition from black strings to Kaluza-Klein “bubbles of nothing. ” This can occur when the curvature at the horizon is much smaller than the string scale, so the black string is far from the corr ..."
Abstract - Cited by 45 (2 self) - Add to MetaCart
the correspondence point when it would make a transition to an excited fundamental string. This provides a dramatic new endpoint to Hawking evaporation. A similar transition occurs for black p-branes, and can be viewed as a nonextremal version of a geometric transition. Applications to AdS black holes and the AdS

DIRECT AND REVERSE CARLESON MEASURES FOR H (b) SPACES

by Alain Blandignères, Emmanuel Fricain, Frédéric Gaunard, Andreas Hartmann, William, T. Ross
"... Abstract. In this paper we discuss direct and reverse Carleson measures for the de Branges-Rovnyak spaces H (b), mainly when b is a non-extreme point of the unit ball of H ∞. ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract. In this paper we discuss direct and reverse Carleson measures for the de Branges-Rovnyak spaces H (b), mainly when b is a non-extreme point of the unit ball of H ∞.
Results 1 - 10 of 60