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Ricci Flow with Surgery on ThreeManifolds
"... This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3manifold which collapses with local lower bound for sectional curvature is a graph manifold this is deferred to a separate paper, as the ..."
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Cited by 448 (2 self)
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This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3manifold which collapses with local lower bound for sectional curvature is a graph manifold this is deferred to a separate paper
Localized polynomials frames on the ball
 Constr. Approx
"... Abstract. Almost exponentially localized polynomial kernels are constructed on the unit ball B d in R d with weights Wµ(x) = (1 − x  2) µ−1/2, µ ≥ 0, by smoothing out the coefficients of the corresponding orthogonal projectors. These kernels are utilized to the design of cubature formulae on B d ..."
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Cited by 15 (7 self)
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Abstract. Almost exponentially localized polynomial kernels are constructed on the unit ball B d in R d with weights Wµ(x) = (1 − x  2) µ−1/2, µ ≥ 0, by smoothing out the coefficients of the corresponding orthogonal projectors. These kernels are utilized to the design of cubature formulae on B d
On locally constructible spheres and balls
, 2009
"... Durhuus and Jonsson (1995) introduced the class of “locally constructible ” (LC) 3spheres and showed that there are only exponentiallymany combinatorial types of simplicial LC 3spheres. Such upper bounds are crucial for the convergence of models for 3D quantum gravity. We characterize the LC prop ..."
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Cited by 14 (8 self)
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this study are: – Not all simplicial 3spheres are locally constructible. (This solves a problem by Durhuus and Jonsson.) – There are only exponentially many shellable simplicial 3spheres with given number of facets. (This answers a question by Kalai.) – All simplicial constructible 3balls are collapsible
LOCAL AUTOMORPHISMS OF THE HILBERT BALL
"... (Communicated by MeiChi Shaw) Abstract. Every holomorphic mapping which takes a piece of the boundary of the unit ball in complex Hilbert space into the boundary of the unit ball and whose differential at some point of this boundary is onto is the restriction of an automorphism of the ball. We also ..."
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(Communicated by MeiChi Shaw) Abstract. Every holomorphic mapping which takes a piece of the boundary of the unit ball in complex Hilbert space into the boundary of the unit ball and whose differential at some point of this boundary is onto is the restriction of an automorphism of the ball. We
Localized plasma balls
"... In this paper we numerically construct localized black hole solutions at the IR bottom of the confining geometry of the AdS soliton. These black holes should be thought of as the finite size analogues of the domain wall solutions that have appeared previously in the literature. From the dual CFT poi ..."
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In this paper we numerically construct localized black hole solutions at the IR bottom of the confining geometry of the AdS soliton. These black holes should be thought of as the finite size analogues of the domain wall solutions that have appeared previously in the literature. From the dual CFT
PrimalDual InteriorPoint Methods for SelfScaled Cones
 SIAM Journal on Optimization
, 1995
"... In this paper we continue the development of a theoretical foundation for efficient primaldual interiorpoint algorithms for convex programming problems expressed in conic form, when the cone and its associated barrier are selfscaled (see [9]). The class of problems under consideration includes li ..."
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Cited by 206 (12 self)
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as pathfollowing methods. Because of the special properties of these cones and barriers, two of our algorithms can take steps that go typically a large fraction of the way to the boundary of the feasible region, rather than being confined to a ball of unit radius in the local norm defined by the Hessian
Balls into Bins via Local Search
, 2012
"... We propose a natural process for allocating n balls into n bins that are organized as the vertices of an undirected graph G. Each ball first chooses a vertex u in G uniformly at random. Then the ball performs a local search in G starting from u until it reaches a vertex with local minimum load, wher ..."
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Cited by 4 (1 self)
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We propose a natural process for allocating n balls into n bins that are organized as the vertices of an undirected graph G. Each ball first chooses a vertex u in G uniformly at random. Then the ball performs a local search in G starting from u until it reaches a vertex with local minimum load
WHEN THE COLLECTION OF BALLS IS LOCALLY FINITE
"... Abstract. Consider the class N of metrizable spaces which admit a metric d such that, for every > 0, the collection fB(x; ) : x 2 Xg of all balls is locally nite. We show that N is precisely the class of strongly metrizable spaces, i.e., X 2 N i X is homeomorphic to a subspace of ! [0; 1]! fo ..."
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Abstract. Consider the class N of metrizable spaces which admit a metric d such that, for every > 0, the collection fB(x; ) : x 2 Xg of all balls is locally nite. We show that N is precisely the class of strongly metrizable spaces, i.e., X 2 N i X is homeomorphic to a subspace of ! [0; 1
Bayesian Landmark Learning for Mobile Robot Localization
, 1998
"... . To operate successfully in indoor environments, mobile robots must be able to localize themselves. Most current localization algorithms lack flexibility, autonomy, and often optimality, since they rely on a human to determine what aspects of the sensor data to use in localization (e.g., what landm ..."
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Cited by 133 (14 self)
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landmarks to use). This paper describes a learning algorithm, called BaLL, that enables mobile robots to learn what features/landmarks are best suited for localization, and also to train artificial neural networks for extracting them from the sensor data. A rigorous Bayesian analysis of probabilistic
Results 1  10
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