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Topological Complexity of Smooth Random Functions
Adler, Robert J.; Taylor, Jonathan E.
€ 58.21
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Description for Topological Complexity of Smooth Random Functions
Paperback. 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. Series: Lecture Notes in Mathematics / Aecole D'Aete De Probabilites De Saint-Flour. Num Pages: 130 pages, 6 black & white illustrations, 9 colour illustrations, biography. BIC Classification: PBM; PBP; PBT. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 216.
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, ... Read more
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, ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
130
Condition
New
Series
Lecture Notes in Mathematics / Aecole D'Aete De Probabilites De Saint-Flour
Number of Pages
122
Place of Publication
Berlin, Germany
ISBN
9783642195792
SKU
V9783642195792
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Topological Complexity of Smooth Random Functions
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 stating all the results in full mathematical rigor. They take the reader on an exciting journey through the theories of Gaussian processes and differential topology and ... Read more