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Compactifications of Symmetric and Locally Symmetric Spaces
Armand Borel Lizhen Ji
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No disponible.
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Disponibilidad
Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
---|---|---|---|---|
No detectada | 2006 | SpringerLink |
Información
Tipo de recurso:
libros
ISBN impreso
978-0-8176-3247-2
ISBN electrónico
978-0-8176-4466-6
Editor responsable
Springer Nature
País de edición
Reino Unido
Fecha de publicación
2006
Información sobre derechos de publicación
© Birkhäuser Boston 2006
Cobertura temática
Tabla de contenidos
Introduction
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
- Introduction | Pp. 1-22
Review of Classical Compactifications of Symmetric Spaces
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part I - Compactifications of Riemannian Symmetric Spaces | Pp. 27-105
Uniform Construction of Compactifications of Symmetric Spaces
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part I - Compactifications of Riemannian Symmetric Spaces | Pp. 107-164
Properties of Compactifications of Symmetric Spaces
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part I - Compactifications of Riemannian Symmetric Spaces | Pp. 165-197
Smooth Compactifications of Riemannian Symmetric Spaces
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part II - Smooth Compactifications of Semisimple Symmetric Spaces | Pp. 203-213
Semisimple Symmetric Spaces
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part II - Smooth Compactifications of Semisimple Symmetric Spaces | Pp. 215-219
The Real Points of Complex Symmetric Spaces Defined over ℝ
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part II - Smooth Compactifications of Semisimple Symmetric Spaces | Pp. 221-231
The DeConcini-Procesi Compactification of a Complex Symmetric Space and Its Real Points
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part II - Smooth Compactifications of Semisimple Symmetric Spaces | Pp. 233-247
The Oshima-Sekiguchi Compactification of and Comparison with (ℝ)
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part II - Smooth Compactifications of Semisimple Symmetric Spaces | Pp. 249-262
Classical Compactifications of Locally Symmetric Spaces
Armand Borel; Lizhen Ji
Gene set enrichment analysis is a microarray data analysis method that uses predefined gene sets and ranks of genes to identify significant biological changes in microarray data sets. In this paper we present a novel method integrating gene interaction information with Gene Ontology (GO) for the construction of new interesting enriched gene sets. The experimental results show that the introduced method improves over traditional methods that compute the enrichment of a single GO terms, i.e. that it is capable to find new statistically relevant descriptions of the biology governing the experiments not detectable by the existing methods.
Part III - Compactifications of Locally Symmetric Spaces | Pp. 267-322