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In this memoir we present a new construction and new properties of the Yang-Mills measure in two dimensions. This measure was first introduced for the needs of

In this paper we develop a concrete description of connections on principal bundles, possibly non-trivial, over compact surfaces and use this description to con

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – vari

In 1989, Edward Witten discovered a deep relationship between quantum field theory and knot theory, and this beautiful discovery created a new field of research

The ideas and principles of stochastic analysis have managed to penetrate into various fields of pure and applied mathematics in the last 15 years; it is partic