My questions is as follows; Suppose, there is a vector of N elements such that probability mass function (PMF) at time $t$ is as follows:
$A(t) = [a_1(t), a_2(t), ..., a_N(t)]$
Now, at time $t+1$, we make a rule that A(t+1) should be generated with a specific variance $\sigma^2$ such that the properties of PMF are met.
How can we generate it in MATLAB?