## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

Erik Bakken

### Convergence of Measures in a Non-Archimedean Stochastic Setting

Abstract

We show that over a local field a continuous-time random walk converges to Brownian motion in the sense of weak convergence of probability measures. We also obtain a Feynman-Kac formula for the random walk.