This is a collection of papers by participants at High
Dimensional Probability VI Meeting held from October 9-14, 2011 at
the Banff International Research Station in Banff, Alberta,
Canada.
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 areas of mathematics, statistics, and computer science.
These include random matrix theory, nonparametric statistics,
empirical process theory, statistical learning theory,
concentration of measure phenomena, strong and weak approximations,
distribution function estimation in high dimensions, combinatorial
optimization, and random graph theory.
The papers in this volumeshow that HDP theory continues to
develop new tools, methods, techniques and perspectives to analyze
the random phenomena. Both researchers and advanced students will
find this book of great use for learning about new avenues of
research.
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