Báo cáo toán học: "The degree of a q-holonomic sequence is a quadratic quasi-polynomial" docx

... the degree and the leading term of a q-holonomic sequence. To phrase it, we need to recall what is a q-holonomic sequence, and what is a quasi- polynomial. A sequence (f n (q)) of rational f ... say that p is a quadratic quasi-polynomial. We will say that a function is eventually equal to a quasi-po lynomial if they agree fo r all but finitely many values...

Ngày tải lên: 08/08/2014, 14:23

... odd-labelled edges of the Coxeter diagram. As a consequence, there is a universal tuple of additive statistics n 1 ,n 2 , whose multivariate distribution specializes to that of any other additive ... D´esarm´enien and D. Foata, The signed Eulerian numbers,Disc.Math99 (1992), 49-58. [GG] A. M. Garsia and I. Gessel, Permutation statistics and partitions,Adv.inMath.31 (1979), 288-30...

Ngày tải lên: 07/08/2014, 06:20

... whose early history ex-physicists played a crucial part, and who are alleged to have referred to their nearby colleagues at Woods Hole as biologists 'who don't count'. Miranda Robertson, ... mathematics; indeed Lewis argues cogently that the behavior of the Hes/her oscillator alone is beyond the reach of simple intuition. Moreover the biological facts, which are almost...

Ngày tải lên: 06/08/2014, 19:20

... Rani, S., Rank Order Statistics Related to a Generalized Random Walk, in: N. Balakrishnan (Ed.), Advances in Comb i natorial Methods and Application s to Probability and Statistics, Birkha¨uuser, ... Renault [9] and Tak´acs [13]), and rank order statistics in g eneralized random walks (see Saran and Ra ni [10]). When t = 1, the corresponding paths are known as ballo t paths, and the study...

Ngày tải lên: 08/08/2014, 12:23

... journal of combinatorics 10 (2003), #R32 3 The order of monochromatic subgraphs with a given minimum degree Yair Caro ∗ and Raphael Yuster † Department of Mathematics University of Haifa at Oranim Tivon ... types of results. In this paper we consider the property of having a certain minimum degree. ∗ e-mail: yairc@macam98.ac.il † e-mail: raphy@research.haifa.ac.il the elec...

Ngày tải lên: 07/08/2014, 07:21

... Enduri (sailaja.enduri@ht.msu.edu) M. Fernanda Bellolio (bellolio.fernanda@mayo.edu) Anunaya R Jain (anunaya_jain@urmc.rochester.edu) Lekshmi Vaidyanathan (vaidyanathan.lekshmi@mayo.edu) Rachel ... None of the authors have any competing interests. References 1. American Heart Association: International Cardiovascular Disease Statistics— Statistical Fact Sheet—Populations, 2008 Update....

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:21

... (multi)-sets X and Y of equal cardinality, and each summand V (X, Y ) P is invariant under the action of the Laplacian. Thus we can now concentrate on the action of the Laplacian on each of these blocks. 4.1 ... Laplacian becomes more complicated. In the tree case I wish to examine a twisting of the Laplacian by a parameter α which, my advisor has shown, is related to Jack p...

Ngày tải lên: 07/08/2014, 06:20

... property of downsets in regular ranked posets. A ranked poset P is regular provided that every element of rank k is comparable to the same number of elements of rank k + 1, and likewise k − 1. (Thisistherequirement that ... are valid without regard to the characteristic of the underlying field. An example of a characteristic-dependent result is that a nonzero vector can...

Ngày tải lên: 07/08/2014, 06:20