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Topological complexity of smooth random functions : École d'Été de Probabilités de Saint-Flour XXXIX - 2009

Author: Robert J Adler; Jonathan E Taylor
Publisher: Heidelberg ; New York : Springer, ©2011.
Series: Lecture notes in mathematics (Springer-Verlag), 2019.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:

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  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Robert J Adler; Jonathan E Taylor
ISBN: 9783642195792 3642195792
OCLC Number: 733988174
Notes: Based on lectures delivered in Saint Flour.
Description: viii, 122 pages : illustrations (some color) ; 24 cm.
Contents: 1 Introduction.- 2 Gaussian Processes.- 3 Some Geometry and Some Topology.- 4 The Gaussian Kinematic Formula.- 5 On Applications: Topological Inference.- 6 Algebraic Topology of Excursion Sets: A New Challenge
Series Title: Lecture notes in mathematics (Springer-Verlag), 2019.
Responsibility: Robert J. Adler, Jonathan E. Taylor.
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From the reviews: "These little lecture notes are a rare delight. The authors succeed in an impressive manner to combine a writing style that focuses on the main ideas and intuitions while still Read more...

 
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