is a stochastic matrix, even if it does not correspond to carries processes.

or -]] is a stochastic matrix if p [greater than or equal to] 1 and [[([+ or -]b) - 1]/p] [member of] Z.

We refer to the index set of a stochastic matrix as its state space.

Let A be a stochastic matrix on the state space S and [C.

j]] has the property of a doubly stochastic matrix since:

These data served as a basis for the population of the stochastic matrix of transition probabilities for bulk terminal behaviour (see matrix (6)).

Therefore, if we consider a fixed projection interval, the migratory processus for group a will be represented, during the time interval [t, t + 1] , by a regular

stochastic matrix (i.

When a Markov chain has two or more disjoint meta-stable states we refer to it and its associated

stochastic matrix as nearly uncoupled.

We remark: If one transforms the matrix A into a

stochastic matrix in the obvious way, this would lead to a transition matrix of a Markov chain, whose states form three disconnected triangles.

The N x N transition matrix P is a row

stochastic matrix, i.

Let p be a positive integer and B an irreducible column

stochastic matrix with spectral decomposition

Given a

stochastic matrix B representing some states of a biomolecule, but including some noise due to measurements, find a permutation P so that [P.