getdocd39e. 151KB Jun 04 2011 12:05:01 AM
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allows a given property if there exists a matrix of the pattern with that property (e. we are considering pairs of patterns that allow commutativity); a pattern requires.. a
It is very similar to the proof of Lemma 4 in Kesten (1987), which deals with the probability of four disjoint paths to ∆S(n), two occupied ones and two vacant ones, with the
The above strategy was adopted earlier by one of the authors for branching random walk in random environment [ 10 ]. There, the Markov chain alluded to above is simply the product
A classical result in the theory of continuous-time stationary Gaussian processes gives sufficient conditions for the equivalence of the laws of two centered processes with
The asymptotic convergence of paths given by the asip (log) then allows these results to pass over from the self-similar processes to the coordinate-changed random walk, by Lemma 6.1
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments.. On a conjecture of R´
If each of the other three dikes of that neighbouring polder is higher than a, the water in the polder of O will remain at level a until the above mentioned neighboring polder
We will prove that if a limit measure is not absolutely continuous with respect to the Lebesgue measure then the corresponding random walk on the self similar graph does not have
