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The Quickhull algorithm for convex hulls
 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 twodimensional Quickhull Algorithm with the generaldimension BeneathBeyond Algorithm. It is similar to the randomized, incremental algo ..."
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Cited by 711 (0 self)
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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
The large N limit of superconformal field theories and supergravity
, 1998
"... We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and ..."
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Cited by 5673 (21 self)
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in the superconformal group (as opposed to just the superPoincare group). The ’t Hooft limit of 3+1 N = 4 superYangMills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various AntideSitter spacetimes is dual to various conformal
Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1087 (4 self)
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The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale “holographically ” with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry. March
An introduction to variational methods for graphical models
 TO APPEAR: M. I. JORDAN, (ED.), LEARNING IN GRAPHICAL MODELS
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Supergravity and the large N limit of theories with sixteen supercharges
, 1998
"... We consider field theories with sixteen supersymmetries, which includes U(N) YangMills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions. We study this by considering a system of Dbranes in string theory and then taking a limit where th ..."
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Cited by 391 (14 self)
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We consider field theories with sixteen supersymmetries, which includes U(N) YangMills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions. We study this by considering a system of Dbranes in string theory and then taking a limit where the brane worldvolume theory decouples from gravity. At the same time we study the corresponding Dbrane supergravity solution and argue that we can trust it in certain regions where the curvature (and the effective string coupling, where appropriate) are small. The supergravity solutions typically have several weakly coupled regions and interpolate between different limits of stringMtheory.
Nonextremal Dinstantons
"... Abstract: We construct the most general nonextremal deformation of the Dinstanton solution with maximal rotational symmetry. The general nonsupersymmetric solution carries electric charges of the SL(2;R) symmetry, which correspond to each of the three conjugacy classes of SL(2;R). Our calculation ..."
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Abstract: We construct the most general nonextremal deformation of the Dinstanton solution with maximal rotational symmetry. The general nonsupersymmetric solution carries electric charges of the SL(2;R) symmetry, which correspond to each of the three conjugacy classes of SL(2;R). Our
Negotiation decision functions for autonomous agents
 International Journal of Robotics and Autonomous Systems
, 1998
"... We present a formal model of negotiation between autonomous agents. The purpose of the negotiation is to reach an agreement about the provision of a service by one agent for another. The model de nes a range of strategies and tactics that agents can employ to generate initial o ers, evaluate proposa ..."
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Cited by 348 (57 self)
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We present a formal model of negotiation between autonomous agents. The purpose of the negotiation is to reach an agreement about the provision of a service by one agent for another. The model de nes a range of strategies and tactics that agents can employ to generate initial o ers, evaluate proposals and o er counter proposals. The model is based on computationally tractable assumptions, demonstrated in the domain of business process management and empirically evaluated. Keywords: Multiagent systems, Negotiation, Business Process Management 1
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