Coverart for item
The Resource Topological Complexity of Smooth Random Functions : École d'Été de Probabilités de Saint-Flour XXXIX-2009, by Robert J. Adler, Jonathan E. Taylor, (electronic resource)

Topological Complexity of Smooth Random Functions : École d'Été de Probabilités de Saint-Flour XXXIX-2009, by Robert J. Adler, Jonathan E. Taylor, (electronic resource)

Label
Topological Complexity of Smooth Random Functions : École d'Été de Probabilités de Saint-Flour XXXIX-2009
Title
Topological Complexity of Smooth Random Functions
Title remainder
École d'Été de Probabilités de Saint-Flour XXXIX-2009
Statement of responsibility
by Robert J. Adler, Jonathan E. Taylor
Creator
Contributor
Author
Subject
Genre
Language
  • eng
  • eng
Summary
These notes, based on lectures delivered in Saint Flour, provide an easy introduction to the authors’ 2007 Springer monograph “Random Fields and Geometry.” While not as exhaustive as the full monograph, they are also less exhausting, while still covering the basic material, typically at a more intuitive and less technical level. They also cover some more recent material relating to random algebraic topology and statistical applications. The notes include an introduction to the general theory of Gaussian random fields, treating classical topics such as continuity and boundedness. This is followed by a quick review of geometry, both integral and Riemannian, with an emphasis on tube formulae, to provide the reader with the material needed to understand and use the Gaussian kinematic formula, the main result of the notes. This is followed by chapters on topological inference and random algebraic topology, both of which provide applications of the main results
Member of
Is Subseries of
Cataloging source
MiAaPQ
Dewey number
519.23
Image bit depth
0
Language note
English
LC call number
QA440-699
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Mathematics,
Series volume
2019
Label
Topological Complexity of Smooth Random Functions : École d'Été de Probabilités de Saint-Flour XXXIX-2009, by Robert J. Adler, Jonathan E. Taylor, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
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
Dimensions
unknown
Extent
1 online resource (VIII, 122 p. 15 illus., 9 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783642195808
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-19580-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2670000000084124
  • (SSID)ssj0000506052
  • (PQKBManifestationID)11313334
  • (PQKBTitleCode)TC0000506052
  • (PQKBWorkID)10513525
  • (PQKB)11021969
  • (DE-He213)978-3-642-19580-8
  • (MiAaPQ)EBC3066734
  • (EXLCZ)992670000000084124
Label
Topological Complexity of Smooth Random Functions : École d'Été de Probabilités de Saint-Flour XXXIX-2009, by Robert J. Adler, Jonathan E. Taylor, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
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
Dimensions
unknown
Extent
1 online resource (VIII, 122 p. 15 illus., 9 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783642195808
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-19580-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2670000000084124
  • (SSID)ssj0000506052
  • (PQKBManifestationID)11313334
  • (PQKBTitleCode)TC0000506052
  • (PQKBWorkID)10513525
  • (PQKB)11021969
  • (DE-He213)978-3-642-19580-8
  • (MiAaPQ)EBC3066734
  • (EXLCZ)992670000000084124

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