Báo cáo toán học: "A trace formula for Wiener-Hopf operators " doc

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Ngày tải lên: 05/08/2014, 15:20

... 1997 Abstract This paper gives a new formula for the plethysm of power-sum symmetric functions and complete symmet- ric functions. The form of the main result is that for µ  b and λ  a with length ... A Plethysm Formula for p µ (x) ◦ h λ (x) William F. Doran IV Department of Mathematics California Institute of Technology Pasadena, CA 91125 doran@cco.caltech.edu Submitted: ... Dora...

Ngày tải lên: 07/08/2014, 06:20

... formula for the number of convex permutominoes with a fixed size. We reach this goal by defining a recursive construction of all the permutominoes of size n + 1 starting from those of size n, for ... combinatorial interpretation of the closed formula (10) for the number of con- vex permutominoes. We remark that the expression of f n resembles the expression (1) for the number c n of...

Ngày tải lên: 07/08/2014, 15:22

... (i ′ , 1) is filled with an i ′ . Therefore, we have that case (a) occurs iff λ (i) j = λ (i) j−1 for some i  j  3 and case (b) occurs iff λ (i) 2 = λ (i) 1 for some i  2. 5 Proof of Identity 10 5.1 ... weighted sum of t he elements of P [0] j−1,i whose second part is different from j − 1. As for the second recurrence formula, the two terms correspond simply to the subsets of P [k] j,i...

Ngày tải lên: 07/08/2014, 21:21

... of Garsia- Haiman modules when q = 0. This is true for any general shape of µ. Based on (2.3), the combinatorial formula for the Hilbert series for the two column case was constructed by Garsia ... combinatorial formula for the Hilbert series of the Garsia-Haiman bigraded S n -modules as weighted sums over standard Young tableaux in the hook shape case. This method is based on the...

Ngày tải lên: 08/08/2014, 12:22

... derive a recurrence relation for Ψ (α) m using the formalism of the previous sections. Start with the formula (4.9) for Ψ (α) m and note that we are simply looking for the constant term as a function ... geometry of FPLs, and the exact range of k for which the formula is pr oved is not made clear. In the present work we only require that the formula be true for one value of k...

Ngày tải lên: 08/08/2014, 12:22

... the branching rule for S N is given primary impo r tance, and yields a canonical basis for the irreducible modules for S N which pull back t o bases for irreducible modules for S N−M . Okounkov ... exists, there was no known formula for these elements. Herein, we describe an explicit construction for two different families o f orthogonal idempo tents in CH 0 (S N ), one for e...

Ngày tải lên: 08/08/2014, 12:23

... with n balls obtains the next ball is proportional to f(n) for some function f. For example, a common case to study is when f(n)=n p for some constant p>1. Specifically, we consider the case ... remain open. For instance, are our methods applicable to related non-linear models for Web graphs [3]? It seems likely that this problem requires improvements on the error bounds for Gau...

Ngày tải lên: 07/08/2014, 08:20

... exists a k-traceable oriented graph of order n that is nontraceable? We formulate the following conjecture. Conjecture 1 (The Traceability Conjecture (TC)) For every integer k ≥ 2, every k-traceable ... is nontraceable. Hence D is not k-traceable. We now prove that for strong oriented graphs the analogue of Proposition 1.1 holds for k = 2, 3, 4. Theorem 4.4 For k = 2, 3 or 4, every st...

Ngày tải lên: 07/08/2014, 21:21

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Ngày tải lên: 05/08/2014, 09:46