Topological Complexity of Smooth Random Functions: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Topological Complexity of Smooth Random Functions: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Based on lectures by the authors, this book introduces the general theory of Gaussian random fields, reviews integral and Riemannian geometry as a fundation for the Gaussian kinematic formula, and covers topological inference and random algebraic topology.

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Bibliographische Detailangaben
1. Verfasser: Adler, Robert
Format: Buch
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
Smoothness of functions
Statistical Theory and Methods
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Beschreibung
Zusammenfassung:Based on lectures by the authors, this book introduces the general theory of Gaussian random fields, reviews integral and Riemannian geometry as a fundation for the Gaussian kinematic formula, and covers topological inference and random algebraic topology.
ISSN:0075-8434
1617-9692
DOI:10.1007/978-3-642-19580-8