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Book Categories |
I | Fundamentals of the cycle representations of Markov processes | |
1 | Directed circuits | 3 |
2 | Genesis of Markov chains by circuits : the circuit chains | 17 |
3 | Cycle representations of recurrent denumerable Markov chains | 29 |
4 | Circuit representations of finite recurrent Markov chains | 55 |
5 | Continuous parameter circuit processes with finite state space | 73 |
6 | Spectral theory of circuit processes | 93 |
7 | Higher-order circuit processes | 101 |
8 | Cycloid Markov processes | 131 |
9 | Markov processes on Banach spaces on cycles | 145 |
10 | The cycle measures | 163 |
11 | Wide-ranging interpretations of the cycle representations of Markov processes | 187 |
II | Applications of the cycle representations | |
1 | Stochastic properties in terms of circuits | 207 |
2 | Levy's theorem concerning positiveness of transition probabilities | 225 |
3 | The rotational theory of Markov processes | 231 |
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