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This volume collects selected papers from the 7th High Dimensional
Probability meeting held at the Institut d'Etudes Scientifiques de
Cargese (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 and perspectives to analyze random
phenomena.
This volume collects selected papers from the 7th High Dimensional
Probability meeting held at the Institut d'Etudes Scientifiques de
Cargese (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 and perspectives to analyze random
phenomena.
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