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Detalles bibliogr�ficos

T�tulo: Topological Complexity of Smooth Random Functions: � cole d'� té de Probabilités de Saint-Flour XXXIX-2009
Editor: Springer
Fecha de publicaci�n: 2011
Idioma: Ingl�s
ISBN 10: 3642195792
ISBN 13: 9783642195792
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: good

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Sinopsis

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.

De la contraportada

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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Descripci�n de la librer�a

Goodwill of Silicon Valley?s mission is to support our employees, our customers, and people with challenging barriers to employment; to raise their standard of living and improve their lives through our services and social enterprise. Founded in Santa Clara County in 1928, Goodwill of Silicon Valley is dedicated to improving employment opportunities, increasing standards of living, providing economic independence, and restoring our clients? sense of self-worth. We do this through workforce creation, vocational training, and environmental stewardship. With 18 retail stores, an online store, an extensive reuse/recycling operation, and our Contract Services division, we help people overcome barriers to employment, build sustainable livelihoods, and transform their lives and communities.

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Goodwill of Silicon Valley
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