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, ...
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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.
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Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17383494827
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New. 122 p. Lecture Notes in Mathematics , 2019. 9 Illustrations, color; 6 Illustrations, black and white; VIII, 122 p. 15 illus., 9 illus. in color.; 9 Illustrations, color; 6 Illustrations, black and white; VIII, 122 p. 15 illus., 9 illus. in colo. Intended for professional and scholarly audience.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17987850885
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Standard Shipping: $4.66
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New. Contains: Illustrations, black & white, Illustrations, color. Lecture Notes in Mathematics ; École d'Été de Probabilités de Saint-Flour . VIII, 122 p. 15 illus., 9 illus. in color. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17987343932
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New. Contains: Illustrations, black & white, Illustrations, color. Lecture Notes in Mathematics ; École d'Été de Probabilités de Saint-Flour . VIII, 122 p. 15 illus., 9 illus. in color. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
11163981856
Shipping Options:
Standard Shipping: $4.66
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. 122 p. Lecture Notes in Mathematics , 2019. 9 Illustrations, color; 6 Illustrations, black and white; VIII, 122 p. 15 illus., 9 illus. in color. Intended for professional and scholarly audience.