Editors:
- Gives a unique view on the mathematical methods used by experts to establish high dimensional results
- Displays the wide scope of the types of problems to which these methods can be successfully applied
- Provides not only a valuable introduction to what is meant by high dimensional probability, but also exposes fruitful new areas of research
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Probability (PRPR, volume 71)
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Table of contents (19 papers)
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Front Matter
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Inequalities and Convexity
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Front Matter
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About this book
This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France.
High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, and random graphs.
The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques andperspectives to analyze random phenomena.
Editors and Affiliations
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Georgia Institute of Technology, Atlanta, USA
Christian Houdré
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University of Delaware, Department of Applied Economics and Stat University of Delaware, Newark, USA
David M. Mason
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Centre national de la recherche scientifique, Laboratoire J.A. Dieudonné, Université Côte d’Azur, Nice, France
Patricia Reynaud-Bouret
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Department of Mathematics, University of Tennessee Department of Mathematics, Knoxville, USA
Jan Rosiński
Bibliographic Information
Book Title: High Dimensional Probability VII
Book Subtitle: The Cargèse Volume
Editors: Christian Houdré, David M. Mason, Patricia Reynaud-Bouret, Jan Rosiński
Series Title: Progress in Probability
DOI: https://doi.org/10.1007/978-3-319-40519-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-40517-9Published: 22 September 2016
Softcover ISBN: 978-3-319-82121-4Published: 16 June 2018
eBook ISBN: 978-3-319-40519-3Published: 21 September 2016
Series ISSN: 1050-6977
Series E-ISSN: 2297-0428
Edition Number: 1
Number of Pages: XXVIII, 461