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Gica, The Proof of a Conjecture of Additive Number Theory, Journal of.. Gica, Another proof of a Conjecture in Additive Number
Recently Mih˘ ailescu [16] discovered that the argument of Bugeaud and Hanrot [2], properly modified, implies a new proof for the second case.. This new proof does not use anything
It is common in applications to have a number of variables with a comparable order of magnitude with the number of observation samples; the analysis of the asymptotic
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
Before turning to the proof, we remark that if ǫ > 1, one may run through the above argument and simply choose m = 1 at the end to produce the classical form of the large
Small-time asymptotic estimates of semigroups on a logarithmic scale are proved for all symmetric local Dirichlet forms on σ -finite measure spaces, which is an extension of the
Section 2 has some estimates on the potential kernel for random walks in the plane, while Section 3 has the proof of the stochastic calculus results we need.. Theorem 1.1 in the
(1.4). This enables us to deduce the asymptotic behaviour of the statistic as the length of the interval over which it is defined goes to infinity. We give a precise formula for
