Geometry and Martingales in Banach Spaces provides a compact
exposition of the results explaining the interrelations existing
between the metric geometry of Banach spaces and the theory of
martingales, and general random vectors with values in those Banach
spaces. Geometric concepts such as dentability, uniform smoothness,
uniform convexity, Beck convexity, etc. turn out to characterize
asymptotic behavior of martingales with values in Banach spaces.
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