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644
On the category of Euclidean configuration spaces and associated fibrations
 Geom. Topol. Monogr
"... W F.Rn; k/!B.Rn; k /. We show that secat.n ..."
Directional Statistics and Shape Analysis
, 1995
"... There have been various developments in shape analysis in the last decade. We describe here some relationships of shape analysis with directional statistics. For shape, rotations are to be integrated out or to be optimized over whilst they are the basis for directional statistics. However, various c ..."
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Cited by 794 (33 self)
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to shape analysis. Note that the idea of using tangent space for analysis is common to both manifold as well. 1 Introduction Consider shapes of configurations of points in Euclidean space. There are various contexts in which k labelled points (or "landmarks") x 1 ; :::; x k in IR m are given
A GPUBased Concurrent Motion Planning Algorithm for 3D Euclidean Configuration Spaces
"... Abstract For existing robot motion planning algorithms, it is well understood that the computational complexity of an implementation increases exponentially as the dimensionality of the configuration space increases. This paper presents an approach to 3D motion planning in Euclidean voxelised confi ..."
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Abstract For existing robot motion planning algorithms, it is well understood that the computational complexity of an implementation increases exponentially as the dimensionality of the configuration space increases. This paper presents an approach to 3D motion planning in Euclidean voxelised
CERNTHPH/2012076 LAPTHConf016/12 Euclidean Configuration Space Renormalization, Residues and Dilation Anomaly 1
, 2012
"... Configuration (x)space renormalization of euclidean Feynman amplitudes in a massless quantum field theory is reduced to the study of local extensions of associate homogeneous distributions. Primitively divergent graphs are renormalized, in particular, by subtracting the residue of an analytically r ..."
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Configuration (x)space renormalization of euclidean Feynman amplitudes in a massless quantum field theory is reduced to the study of local extensions of associate homogeneous distributions. Primitively divergent graphs are renormalized, in particular, by subtracting the residue of an analytically
Euclidean designs and coherent configurations
, 2009
"... The concept of spherical tdesign, which is a finite subset of the unit sphere, was introduced by DelsarteGoethalsSeidel (1977). The concept of Euclidean tdesign, which is a two step generalization of spherical design in the sense that it is a finite weighted subset of Euclidean space, by Neumaie ..."
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Cited by 1 (1 self)
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The concept of spherical tdesign, which is a finite subset of the unit sphere, was introduced by DelsarteGoethalsSeidel (1977). The concept of Euclidean tdesign, which is a two step generalization of spherical design in the sense that it is a finite weighted subset of Euclidean space
The Symplectic Geometry of Polygons in Euclidean Space
 Journal of Diff. Geometry
, 1998
"... We study the symplectic geometry of moduli spaces M r of polygons with fixed side lengths in Euclidean space. We show that M r has a natural structure of a complex analytic space and is complexanalytically isomorphic to the weighted quotient of (S 2 ) n constructed by Deligne and Mostow. We ..."
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Cited by 90 (12 self)
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We study the symplectic geometry of moduli spaces M r of polygons with fixed side lengths in Euclidean space. We show that M r has a natural structure of a complex analytic space and is complexanalytically isomorphic to the weighted quotient of (S 2 ) n constructed by Deligne and Mostow. We
Twisted Configurations over Quantum Euclidean Spheres
, 2002
"... We show that the relations which define the algebras of the quantum Euclidean planes RN q can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres ..."
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Cited by 4 (2 self)
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We show that the relations which define the algebras of the quantum Euclidean planes RN q can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres
EUCLIDEAN FIELD THEORY AND SINGULAR CLASSICAL FIELD CONFIGURATIONS
, 1997
"... Euclidean field theory on four dimensional sphere is suggested for the study of high energy multiparticle production. The singular classical field configurations are found in scalar φ 4 and SU(2) gauge theories and the cross section of 2 → n is calculated. It is shown, that the cross section has a m ..."
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Euclidean field theory on four dimensional sphere is suggested for the study of high energy multiparticle production. The singular classical field configurations are found in scalar φ 4 and SU(2) gauge theories and the cross section of 2 → n is calculated. It is shown, that the cross section has a
ON CONTINUOUS EXPANSIONS OF CONFIGURATIONS OF POINTS IN EUCLIDEAN SPACE
"... Abstract. For any two configurations of ordered points p = (p1, · · ·,pN) and q = (q1, · · ·,qN) in Euclidean space Ed such that q is an expansion of p, there exists a continuous expansion from p to q in dimension 2d; Bezdek and Connelly used this to prove the KneserPoulsen conjecture for the ..."
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Abstract. For any two configurations of ordered points p = (p1, · · ·,pN) and q = (q1, · · ·,qN) in Euclidean space Ed such that q is an expansion of p, there exists a continuous expansion from p to q in dimension 2d; Bezdek and Connelly used this to prove the KneserPoulsen conjecture
Configurations of balls in Euclidean space that Brownian motion cannot avoid
, 2007
"... Abstract. We consider a collection of balls in Euclidean space and the problem of determining if Brownian motion has a positive probability of avoiding all the balls indefinitely. ..."
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Cited by 8 (1 self)
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Abstract. We consider a collection of balls in Euclidean space and the problem of determining if Brownian motion has a positive probability of avoiding all the balls indefinitely.
Results 1  10
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644