Matstat seminarium fredagen 23 november 2001 kl 13:15 i MH:227

        Andrei Khrennikov

     University of  Växjö, Sweden

We will discuss  generalization
of the conventional probablistic model
(Kolmogorov measure-theoretical approach, 1933)
that was created in the connection with so called
$p$-adic physics. In this model probabilities belong
to fields of $p$-adic numbers. These probablities
are defined as limits of relative frequencies
but with respect to p-adic topologies.
We prove  a few limit theorems for p-adic probablities;
developed a generalization of Martin-Löf theory for
tests of randomness.