Báo cáo toán học: "Parking functions of types A and B" ppsx

... 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

... 231, and that any permutation that avoids the pattern 231 can be realized as a safe permutation, if we have enough spaces (Theorem 2.1). Proof of Theorem 2.1. Let p, q be an initial position and ... vertices of a regular graph, and in [Z] we use a localization formula and the parameterization given in Theorem 2.3 to show that (4) is indeed an integral over a smooth manifol...

Ngày tải lên: 07/08/2014, 07:21

... 2.2. 4.4 Generation of a random labeled tree An easy extension of Proposition 4.6 says that (d V +1 ,d V+2 , ,d V+n ,d V ) satisfies con- straints (2.1), and that one can generate a random labeled tree ... we assume that the random labeled trees are generated using this algorithm. As a consequence, in Proposition 4.6, it is an equality between random variables that holds, and not...

Ngày tải lên: 07/08/2014, 06:22

... 10–22. [9] A. M. Garsia and M. Haiman, A remarkable q, t-Catalan sequence and q-Lagrange inversion, J. Algebraic Combinatorics 5 (1996), 191–244. [10] I. Gessel, Multipartite P -partitions and inner ... u<vand no element t satisfies u<t<v). An edge labeling of P is amapΛ:E(P)→Z,whereE(P)isthesetofedgesofP. Edge labelings of posets have many applications; in particular, if...

Ngày tải lên: 07/08/2014, 06:22

Ngày tải lên: 20/06/2014, 21:20

... three parallel batches each per sample was made in an Anton Paar Multiwave 3000 microwave digestion system (Anton Paar, Graz-Straßgang, Austria), whereby the power was increased to 1,000 W after ... dietary intake. Sci Total Environ 2002, 292(3):205–213. [4] Jalbani N, Kazi TG, Arain BM, Jamali MK, Afridi HI, Sarfraz RA: Application of factorial design in optimization of ultrasoni...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:21