Stochastic Matrix
A Stochastic matrix is the transition matrix for a finite Markov Chain, also called a Markov Matrix. Elements of the matrix must be Real Numbers in the Closed Interval [0, 1].
A completely independent type of stochastic matrix is defined as a Square Matrix with entries in a Field 
suchthat the sum of elements in each column equals 1. There are two nonsingular 
StochasticMatrices over 
(i.e., the integers mod 2),
There are six nonsingular stochastic
Matrices over 
,
In fact, the set
of all nonsingular stochastic 
matrices over a Field forms a Groupunder Matrix Multiplication. This Group is called the Stochastic Group.See also Markov Chain, Stochastic Group
References
Poole, D. G. ``The Stochastic Group.'' Amer. Math. Monthly 102, 798-801, 1995.
- Highly Composite Number
- Higman-Sims Group
- Hilbert Basis Theorem
- Hilbert Curve
- Hilbert Function
- Hilbert Hotel
- Hilbert Matrix
- Hilbert Number
- Hilbert Polynomial
- Hilbert's Axioms
- Hilbert-Schmidt Norm
- Hilbert-Schmidt Theory
- Hilbert's Constants
- Hilbert's Inequality
- Hilbert's Nullstellansatz
- Hilbert Space
- Hilbert's Problems
- Hilbert's Theorem
- Hilbert Transform
- Hillam's Theorem
- Hill Determinant
- Hill's Differential Equation
- Hindu Check
- Hinge
- Hippias' Quadratrix