Progress in Probability

High Dimensional Probability

Editors: Eberlein, Ernst, Hahn, Marjorie (Eds.)

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About this book

What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.

Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-0348-8829-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-7643-5867-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-3-0348-9790-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
High Dimensional Probability
Editors
  • Ernst Eberlein
  • Marjorie Hahn
Series Title
Progress in Probability
Series Volume
43
Copyright
1998
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8829-5
DOI
10.1007/978-3-0348-8829-5
Hardcover ISBN
978-3-7643-5867-9
Softcover ISBN
978-3-0348-9790-7
Series ISSN
1050-6977
Edition Number
1
Number of Pages
VIII, 335
Topics