A Random Walk with Exponential Travel Times
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Abstract:
Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log N as Np is large.
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Journal title
volume 6 issue 1
pages 37- 40
publication date 2014-12-01
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