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Affine extensions of noncrystallographic Coxeter groups and quasicrystals
 J. Phys. A
, 2002
"... Abstract. Unique affine extensions Haff 2, Haff 3 and Haff 4 are determined for the noncrystallographic Coxeter groups H2, H3 and H4. They are used for the construction of new mathematical models for quasicrystal fragments with 10fold symmetry. The case of Haff 2 corresponding to planar point sets ..."
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Cited by 11 (8 self)
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Abstract. Unique affine extensions Haff 2, Haff 3 and Haff 4 are determined for the noncrystallographic Coxeter groups H2, H3 and H4. They are used for the construction of new mathematical models for quasicrystal fragments with 10fold symmetry. The case of Haff 2 corresponding to planar point sets
Opuscula Mathematica AFFINE EXTENSIONS OF FUNCTIONS WITH A CLOSED
"... Abstract. Let A be a closed Gδsubset of a normal space X. We prove that every function f0: A → R with a closed graph can be extended to a function f: X → R with a closed graph, too. This is a consequence of a more general result which gives an affine and constructive method of obtaining such extens ..."
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Abstract. Let A be a closed Gδsubset of a normal space X. We prove that every function f0: A → R with a closed graph can be extended to a function f: X → R with a closed graph, too. This is a consequence of a more general result which gives an affine and constructive method of obtaining
A PERFORMANCE EVALUATION OF LOCAL DESCRIPTORS
, 2005
"... In this paper we compare the performance of descriptors computed for local interest regions, as for example extracted by the HarrisAffine detector [32]. Many different descriptors have been proposed in the literature. However, it is unclear which descriptors are more appropriate and how their perfo ..."
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Cited by 1783 (51 self)
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In this paper we compare the performance of descriptors computed for local interest regions, as for example extracted by the HarrisAffine detector [32]. Many different descriptors have been proposed in the literature. However, it is unclear which descriptors are more appropriate and how
Exploration, normalization, and summaries of high density oligonucleotide array probe level data.
 Biostatistics,
, 2003
"... SUMMARY In this paper we report exploratory analyses of highdensity oligonucleotide array data from the Affymetrix GeneChip R system with the objective of improving upon currently used measures of gene expression. Our analyses make use of three data sets: a small experimental study consisting of f ..."
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Cited by 854 (33 self)
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of five MGU74A mouse GeneChip R arrays, part of the data from an extensive spikein study conducted by Gene Logic and Wyeth's Genetics Institute involving 95 HGU95A human GeneChip R arrays; and part of a dilution study conducted by Gene Logic involving 75 HGU95A GeneChip R arrays. We display some
Novel KacMoodytype affine extensions of noncrystallographic Coxeter groups
, 2012
"... Motivated by recent results in mathematical virology, we present novel asymmetric Z[τ]integervalued affine extensions of the noncrystallographic Coxeter groups H2, H3 and H4 derived in a KacMoodytype formalism. In particular, we show that the affine reflection planes which extend the Coxeter gr ..."
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Motivated by recent results in mathematical virology, we present novel asymmetric Z[τ]integervalued affine extensions of the noncrystallographic Coxeter groups H2, H3 and H4 derived in a KacMoodytype formalism. In particular, we show that the affine reflection planes which extend the Coxeter
Branching rules of semisimple Lie algebras using affine extensions
, 2002
"... We present a closed formula for the branching coefficients of an embedding p → g of two finitedimensional semisimple Lie algebras. The formula is based on the untwisted affine extension of p. It leads to an alternative proof of a simple algorithm for the computation of branching rules which is an ..."
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Cited by 13 (4 self)
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We present a closed formula for the branching coefficients of an embedding p → g of two finitedimensional semisimple Lie algebras. The formula is based on the untwisted affine extension of p. It leads to an alternative proof of a simple algorithm for the computation of branching rules which
AEI2001133, mathph/0111020 Branching rules of semisimple Lie algebras using affine extensions
, 2001
"... We present a closed formula for the branching coefficients of an embedding p → g of two finitedimensional semisimple Lie algebras. The formula is based on the untwisted affine extension of p. It leads to an alternative proof of a simple algorithm for the computation of branching rules which is an ..."
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We present a closed formula for the branching coefficients of an embedding p → g of two finitedimensional semisimple Lie algebras. The formula is based on the untwisted affine extension of p. It leads to an alternative proof of a simple algorithm for the computation of branching rules which
Exact and high order discretization schemes for Wishart processes and their affine extensions, submitted paper. Arxiv Preprint
, 2010
"... This work deals with the simulation of Wishart processes and affine diffusions on positive semidefinite matrices. To do so, we focus on the splitting of the infinitesimal generator, in order to use composition techniques as Ninomiya and Victoir [20] or Alfonsi [1]. Doing so, we have found a remarkab ..."
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Cited by 8 (3 self)
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This work deals with the simulation of Wishart processes and affine diffusions on positive semidefinite matrices. To do so, we focus on the splitting of the infinitesimal generator, in order to use composition techniques as Ninomiya and Victoir [20] or Alfonsi [1]. Doing so, we have found a
Results 1  10
of
1,911