Cycle representations of Markov processes
著者
書誌事項
Cycle representations of Markov processes
（Applications of mathematics, 28）
Springer-Verlag, c1995
- : us
- : gw
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注記
Bibliography: p. 169-190
Includes index
内容説明・目次
- 巻冊次
-
: us ISBN 9780387943633
内容説明
This book presents a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by directed cycles. These processes have special and important properties through the interaction between the geometric properties of the trajectories and the algebraic characterization of the Markov process. An important application of this approach is the insight it provides to electrical networks and the duality principle of networks. In particular, it provides an entirely new approach to infinite electrical networks and their applications in topics as diverse as random walks, the classification of Riemann surfaces, and to operator theory.
- 巻冊次
-
: gw ISBN 9783540943631
内容説明
This is a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by directed cycles. These processes have special and important properties through the interaction between the geometric properties of the trajectories and the algebraic characterization of the Markov process. An important application of this approach is the insight it provides into electrical networks and the duality principle of networks. In particular, it provides an entirely new approach to infinite electrical networks and their applications in topics as diverse as random walks, the classification of Riemann surfaces, and to operator theory.
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