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Local fields, Gaussian measures, and Brownian motions

Local fields, Gaussian measures, and Brownian motions

These are lecture notes from a course given at the CRM in Montreal in 1992. They survey the author's attempts to find and understand canonical probabilistic entities in a local field (e.g. p-adic) setting. We propose answers to the related questions: ``What are the analogues for Gaussian measures?'' and ``What …