Can I read Cycle Representations of Markov Processes on EtoBox?

Cycle Representations of Markov Processes by Sophia L. Kalpazidou is a book available to read on EtoBox.

What is Cycle Representations of Markov Processes about?

This Book Presents An Original And 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 Finite-dimensional Distributions. An Important Application Of This Approach Is The New Insight It Provides Into Markovian Dependence And Electrical Networks. In Particular, It Provides An Entirely New Approach To Markov Processes And Infinite Electrical Networks, And Their Applications In Topics As Diverse As Random Walks, Ergodic Theory, Dynamical Systems, Potential Theory, Theory Of Matrices, Algebraic Topology, Complexity Theory, The Classification Of Riemann Surfaces, And Operator Theory. The Author Surveys The Three Principal Developments In Cycle Theory: The Cycle-decomposition Formula And Its Relation To The Markov Process; Entropy Production And How It May Be Used To Measure How Far A Process Is From Being Reversible; And How A Finite Recurrent Stochastic Matrix May Be Defined By A Rotation Of The Circle And A Partition W

Author

Sophia L. Kalpazidou

Publisher

Oxford: Clarendon Press ; New York: Oxford University Press

Published

1994

Language

EN

ISBN

9780198534754

Subjects

Science, Chemistry, Physics