getdocdc3b. 465KB Jun 04 2011 12:05:04 AM
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One can obtain a new proof of the homogenization result (1.4) from proposition 2.1 by using the fact that Ψ is square integrable on Ω and applying the von Neumann ergodic theorem..
(f) A possible reason why sub-fractional Brownian motion is the limit in the non-branching model with deterministic θ (Remark 2.3(a)) and in the branching model (Theorem 2.4(a)) is
The main application of the following theorem may be to establish that certain Markov matrices arising in applications are not embeddable, and hence either that the entries are
Keywords stable regenerative set, Bochner’s subordination, Bolthausen-Sznitman coalescent, Poisson covering, zero sets of Bessel processes, two parameter Poisson-Dirichlet
To prove our functional central limit theorem for rescaled martingales, we do not need to work in the canonical setup of the latter result of Jacod and Shiryaev (1987) nor do we have
This version of the algorithm Context does not distinguish transition probabilities which are closer than the threshold level used in the pruning decision. Our first theorem proves
To prove this theorem we extend the bounds proved in [ 2 ] for the continuous time simple random walk on (Γ , µ ) to the slightly more general random walks X and Y defined
One could prove a version of Theorem 0.9 without proving the results on G-δ-covers in Proposition 0.7 and Lemma 0.8, and proving instead the next theorem on the G-star discrepancy and
