A correction to this paper has been published: 10.1007/s00440-016-0699-z

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...

We consider one infinite path of a Random Walk in Environment (RWRE, for short) an unknown environment. This environment consists either i.i.d. site or bond randomness. At each position the random walker stops and tells us it sees at point where is, without telling us, is. These observations χ′ are spoiled by reading errors that occur with probability p<1. show: If RWRE is recurrent satisfies s...