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

Trond Digernes

### Stochastic methods for finite approximations in a non-Archimedean setting

Abstract

In a recent paper we proved a finite approximation theorem for quantum systems over a local field. The proof used standard functional analytic methods. In this talk we present a stochastic proof of the same. It is based on a work in progress concerning convergence of random walks over a local field. The stochastic method gives somewhat stronger results, at the expense of a couple of mild extra assumptions.