Author | Brรฉmaud, Pierre. author |
---|---|
Title | Markov Chains [electronic resource] : Gibbs Fields, Monte Carlo Simulation, and Queues / by Pierre Brรฉmaud |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1999 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3124-8 |
Descript | XVIII, 445 p. 3 illus. online resource |
1 Probability Review -- 2 Discrete-Time Markov Models -- 3 Recurrence and Ergodicity -- 4 Long Run Behavior -- 5 Lyapunov Functions and Martingales -- 6 Eigenvalues and Nonhomogeneous Markov Chains -- 7 Gibbs Fields and Monte Carlo Simulation -- 8 Continuous-Time Markov Models -- 9 Poisson Calculus and Queues -- 1 Number Theory and Calculus -- 1.1 Greatest Common Divisor -- 1.2 Abelโs Theorem -- 1.3 Lebesgueโs Theorems for Series -- 1.4 Infinite Products -- 1.5 Tychonovโs Theorem -- 1.6 Subadditive Functions -- 2 Linear Algebra -- 2.1 Eigenvalues and Eigenvectors -- 2.2 Exponential of a Matrix -- 2.3 Gershgorinโs Bound -- 3 Probability -- 3.1 Expectation Revisited -- 3.2 Lebesgueโs Theorems for Expectation -- Author Index