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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

5 votes
2 answers
763 views

How to calculate an integral over the complex unit sphere

We want to calculate the following integral over the complex unit sphere $S^{2n-1}$: $$\int_{S^{2n-1}} \frac{1 }{|1 - \langle z, \zeta \rangle|^2} \, d\sigma(\zeta),$$ where $ z $ is a fixed point in …
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