Báo cáo toán học: "Schur functions and alternating sums" potx

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:21

... ⊂ R → R and an arbitrary linear function always has property (α γ ), then f must be outer Outer γ- Convexity and Inner γ- Convexity of Disturbed Functions 109 γ- convex, i.e., only outer γ- convex ... follow- ing. Vietnam Journal of Mathematics 35:1 (2007) 107–119 Outer γ γ γ -Convexity and Inner γ γ γ -Convexity of Disturbed Functions Hoang...

Ngày tải lên: 06/08/2014, 05:20

... θ 2 B G (r)/2+o u (θ 3 g(r) 1+ ) (19) for all >0. Proof: Using the asymptotic formula for the coefficients of admissible functions and an argument like that in Hayman’s proof of Theorem H.II, the results for a and B follow ... .WeextendR and Θ to include these variables by forming the Cartesian product of R with copies of (0, ∞) and the Cartesian product of Θ...

Ngày tải lên: 07/08/2014, 06:20

... systems on fifteen elements, Mem. Nat. Acad. Sc. USA 14, second memoir (1919) 1-89. Codes, Lattices, and Steiner Systems Patrick Sol´e ∗ , CNRS, I3S, ESSI, BP 145, Route des Colles, 06 903 Sophia ... explicit determination of root systems and lattices involved. 5 Acknowledgements We thank Ed Assmus, Michel Deza, and Vladimir Tonchev for sending us their preprints and Chris Charnes...

Ngày tải lên: 07/08/2014, 06:20

... harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on the infinite symmetric group. Our method relies on multi- variate ... this section, we deal with an abstract graph G satisfying certain conditions listed below. In the next sections, concrete examples of G will be considered. Our assumptions...

Ngày tải lên: 07/08/2014, 06:20

... Proposition 4.1. GENERATING FUNCTIONS AND GENERALIZED DEDEKIND SUMS Ira M. Gessel Department of Mathematics Brandeis University Waltham, MA 02254-9110 gessel@math.brandeis.edu Submitted: August ... N j (x)andD j (x) are algebraic functions of x,andT(x)isarational function of x.MorepreciselyT(x)is0ifthedegreeofPis less than that of Q, T (x)is−1 if the degree of P is greater, and i...

Ngày tải lên: 07/08/2014, 06:22

... contains both b and d,thenB= B  . We establish some connections between parking functions and noncrossing partitions. A generating function for the flag f -vector of the lattice NC n+1 of noncrossing ... Simion and R. Stanley, Flag-symmetry of the poset of shuffles and a local action of the symmetric group, in preparation. [27] R. Simion and D. Ullman, On the structure of the la...

Ngày tải lên: 07/08/2014, 06:22

... taken with multiplicity 2. Crooked Functions, Bent Functions, and Distance Regular Graphs T.D. Bending D. Fon-Der-Flaass School of Mathematical Sciences, Queen Mary and Westfield College, London ... {(a, i, α)}; vertices (a, i, α )and( b, j, β) are adjacent if and only if they are distinct, and α + β = D(a, i; b, j). PROPOSITION 13 The graph G Q is distance regular wit...

Ngày tải lên: 07/08/2014, 06:22

... motivations of Odlyzko and Wilf, when they study the width of labeled trees, is to give a tight estimate for the average bandwidth of this class of tree. 2 The breadth first search random walk From ... initially (0). Then, at each of the n following stages of the BFS, the vertex x at the head of the queue is removed from the queue, and all “new” neighbor...

Ngày tải lên: 07/08/2014, 06:22

... is a natural action of S n on the set of parking functions, which permutes the a j . There is also an action of S n on the set of factorizations, which goes as follows. We define an action of ... local action of S n on V NC n+1 in [S], Proposition 4.1. Thus we have two actions of S n , one on factorizations and one on parking functions, and the map we are looking at is...

Ngày tải lên: 07/08/2014, 06:23

... from the end of the left list into the stack, and when we encounter an element of p, we move the top of the stack to the beginning of the right list. If an element of p is equal to an element of ... p, p k . At this point, the top of the stack is the index of the last element of q encountered. We move the top of the stack out, as the first entr...

Ngày tải lên: 07/08/2014, 07:21

... (2006), #A5 14 1.4 Alternating polynomials and Schur functions 1.4. Alternating polynomials and Schur functions. Now fix n ∈ N,andletA [n] denote the additive subgroup of Z[X [n] ] of alternating poly- nomials, ... ∈Pand α ∈C, the Kostka number K λ/µ,α equals the number # SST(/à, ) of semistandard tableaux of shape /à and weight ,and K /à, is the number of transposed semista...

Ngày tải lên: 07/08/2014, 08:22

... Examples 5.1 and 5.2).  6 Counting Trees and Forests Let us now extend Propositions 5.2 and 5.3 from paths to trees and forests. In Sec- tion 6.1 we consider classes T m (X) of trees and F m (X, ... . . . . . . 22 7 Counting Connected Subgraphs (and Related Objects) 24 8 Counting Blocks, Block Paths, Blo ck Trees and Block Forests 29 8.1 The classes BT m (X), BF m (X, Y )...

Ngày tải lên: 08/08/2014, 12:22