Title: The Dudley-Philipp strong approximation method.
This talk will be mainly expository. I will discuss the key
ideas and tools developed by Dudley and Philipp in 1984 to
approximate a sequence of mean zero partial sums of i.i.d.
random variables taking values in a Banach space by a mean
zero Gaussian process with the same covariance function. I
will use my paper in progress with Philippe Berthet as an
illustration.
