<t>matlab code. split the last vertex into 2, stochastic matrixN=3; % 3 is for triangle, it actually creates 4 vertices, another termination pointstoc=diag(.5*ones(1,N),-1)+... diag(.5*ones(1,N),1);stoc(:,1)=[1;zeros(N,1)];stoc(:,end)=[zeros(N,1);1];startvertex=[0;1;zeros(N-1,1)];final_distribution=...