Random Walks

  • Nicolas Privault
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


In this chapter we consider our second important example of discrete-time stochastic process, which is a random walk allowed to evolve over the set \(\mathbb{Z}\) of signed integers without any boundary restriction. Of particular importance are the probabilities of return to a given state in finite time, as well as the corresponding mean return time.


Random Walk Time Distribution Taylor Expansion Finite Time Return Time 
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Copyright information

© Springer Science+Business Media Singapore 2013

Authors and Affiliations

  • Nicolas Privault
    • 1
  1. 1.School of Physical and Mathematical SciencesNanyang Technological UniversitySingaporeSingapore

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