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21 Nov 2012: This resolves an open question of Aldous [1, Chapter 4, OpenProblem 20] and of Imbuzeiro Oliveira [6]. ... 13. Proof of Theorem 1.7 (for continuous time walk). Consider the graph G7,20.

14 Mar 2012: k such that Xi ξi() B(0, r̃,n), and henceusing (20) we get. ... arXiv:1008.6322v2. [20] D. Stoyan, W.S. Kendall, and J. Mecke. Stochastic Geometry and its Applications.

20 Apr 2012: going to use the Nash-Williams criterion ofrecurrence, which can be found for instance in [20, Chapter 21, Proposition 21.6]. ... c′|In,l|,. since β < 1 and < 2β(n1). Hence using (5.20) we get that.

3 Sep 2012: 20]. 123. A. D. Bull, R. Nickl. While the case of two fixed smoothness classes in Theorem 1 is appealing in itsconceptual simplicity, it does not describe the typical adaptation problem, ... 20). which completes the bound for the type-one errors in view

1 Jun 2012: lim supn. 2 jn d jn. nsupyM. | fn( j, y) E fn(y, d)| D almost sur el y (20). ... We shall use the subsample S2 to select ĵn following this idea, which is due toLepskiı̆ [20], formalised as follows:.

6 Mar 2012: Kj f ‖ ‖Kj ‖r ‖f ‖s C(K, r)2j (11/r) U,(20)a bound that remains true when r = since |2j K(2j (x y))| ‖K‖2j. ... 2nσ 2x 73 U x. } 2ex. Combining the moment estimate Lemma 1 with (20) and (21), we obtain, for2j j (r) < n with j () = j and j

10 Jan 2012: As shown in [12] (see also [20])such estimators can be used in the construction of (near-)adaptive confidence bandsunder certain analytic conditions on the elements of (s). ... Let us briefly describethe results in [12, 20]. Let n be a sequence of

1 Oct 2012: and. 0 rqbi,k rbi1,k for all k 1 i t 20 rbt2,k. ... Personal communication. (2009)[20] M. Schweizer and J. Wissel. Term structures of implied volatilities: Absence of arbitrage and existence results.

15 Aug 2012: 13 (1998), 467–483. 10. Jiang, T., Li, M., Vitányi, P., The average-case area of Heilbronn-type triangles, RandomStructures and Algorithms 20 (2002), 206–219.

15 Aug 2012: We illustrate this approach in the nextsection, by sketching the details in a particular case.Important references include [20, 156, 157, 268]. ... The following theorem is taken from [20] and may be proved in amanner similar to the proof given in the