Báo cáo toán học: "WHERE THE TYPICAL SET PARTITIONS MEET AND JOIN" pdf

... THE TYPICAL SET PARTITIONS MEET AND JOIN. Boris Pittel Received: May 16, 1999; Accepted: January 15, 2000 The lattice of the set partitions of [n] ordered by refinement is studied. Suppose r partitions ... is the size of the largest block of p  typically? The answer is: two. And how many two-elements sets are there in p  ? The answer is: only about log 2 n/2....

Ngày tải lên: 07/08/2014, 06:20

... preparation and analyses, and drafted the manuscript. Edward C. Norton and Shoou-Yih Lee participated in the study design and helped to draft the manuscript. All authors read and approved the final ... =  ˆ P OBBIRTH2004,NI − ˆ P OBBIRTH1996,NI  −  ˆ P OBBIRTH2004,I − ˆ P OBBIRTH1996,I  If the inducement hypothesis held, the inducement effect was expected to be posit...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... study the continuity of Julia set of some rational maps and the stability of the Hausdorff dimension of the Julia set of polynomials z d + c (d ≥ 2)forsome semi-hyperbolic parameters c in the boundary ... x ∈ K meets all but finitely many K n ;and (2) If every neighborhood of x meets infinitely many K n ,thenx ∈ K. We define lim inf K n as the largest set satisfying (1), an...

Ngày tải lên: 06/08/2014, 05:20

... where A(G) is the adjacency matrix of G. Then χ(G)=3 2and the electronic journal of combinatorics 4 (1997), #R19 3 and α(G) < min{ rank(B) |B ∈B(G)} by theorem. Acknowledgement. The author is ... Gr¨otschel, L´aszl´oLov´asz, and Alexander Schrijver, Geometric Algorithms and Combina- torial Optimization (Springer-Verlag, 1988). 3. Donald E.Knuth, The Sandwich Theorem”, Electro...

Ngày tải lên: 07/08/2014, 06:20

... selecting one of the m positions for a  (the vertices in [a, n], the gaps between them, and the space after n) and one of the two positions for n  (n and the space after n). All these 2m −3 choices ... get the series G and then equation (22). The radius of convergence is the least positive root of the denominator. Using the last theorem and the inequalities...

Ngày tải lên: 07/08/2014, 06:20

... vertices in V , and assign label x to the smallest vertex. The condition (x, x  ) ∈ F uniquely identifies vertex x  ,andthe labeling of the other vertices in the cycle C follows. Removing the three ... (minimality of x fixes the orientation of the edge), and that the choice of (x, x  ) combined with the information provided by the sequence completely determines the...

Ngày tải lên: 07/08/2014, 06:22

... the definition of the f B .NowtheP i and B j form a symmetric tactical decomposition of the tactical configuration whose points are the points of Σ n−1 and whose blocks are the elements of B. Therefore ... the (d−1)-flats is similar to the action of a n-cycle of the symmetric group on n elements on the set of d-element subsets. Lemma 2.2 The G-stabilizer of any (d −1)-fl...

Ngày tải lên: 07/08/2014, 06:23

... by partitions in the set Λ k n , and the irreducible representations of CA k+ 1 2 (n) are indexed by partitions in the set Λ k n−1 . Using the Schur-Weyl duality between S n and CA k (n)wegettheidentity n k =  λ∈Λ k n f λ m λ k , ... is the left endpoint of the edge labeled j in d if and only if j is the left endpoint of the edge labeled i in flip(d). Thus the...

Ngày tải lên: 07/08/2014, 08:22