Báo cáo toán học: "Osculating Paths and Oscillating Tableaux" doc

... feature of the type-I band transition. Therefore, the interband transition of the GaSb QD would be the only proper origin of the high-energy peak. In the growth process of the sample, the InGaAs ... light emission intensity of the GaSb QD could be stronger than the type II transition due to the stronger spatial confinement of carriers in the QD and the...

Ngày tải lên: 20/06/2014, 20:20

... formatted PDF and full text (HTML) versions will be made available soon. Structural, optical and magnetic studies of manganese-doped zinc oxide hierarchical microspheres by self-assembly of nanoparticles Nanoscale ... original work is properly cited. 1 Structural, optical, and magnetic studies of manganese-doped zinc oxide hierarchical micros...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 15:20

... lattice paths, d[m, n]=d[m−1,n]+d[m, n − 1] + γd[m − 1,n−1]. The paths take horizontal, vertical, and diagonal steps (a king). If we write = à − 1, then this recurrence enumerates lattice paths ... Brownian motion between parallel reflecting walls, a continuous version equivalent to the asymptotic distribution of the Kolmogorov-Smirnov test. The exact number of ordinary paths betwe...

Ngày tải lên: 07/08/2014, 06:22

... is now on sure ground, and combinatorial games is well on its way. This is in no small part due to the energy, enthusiasm and insight of Aviezri Fraenkel, who has linked combinatorial games with much ... Aviezri S. Fraenkel, The particles and antiparticles game, Comput. Math. Appl., 3(1977), 327–328. [13] Aviezri S. Fraenkel, From Nim to Go, in J. Srivastava (ed.) Combinatorial...

Ngày tải lên: 07/08/2014, 06:23

... the identities (3.1), (3.2), (3.3), and (3.4) show that A [m] C   {z e } E   depends only on the matroid M C  . Hence, condition 2 in Theorem 15 is satisfied by the identities (3.2) and (3.3), ... several MacWilliams type identities, including those by Kløve and Shiromoto, and of the theorems of Greene and Barg that describe how the Tutte polynomial of the vector matroid...

Ngày tải lên: 07/08/2014, 06:23

... n.LetI B and I S be subsets of [k] and let B = {C i : i ∈ I B } and S = {C i : i ∈ I S }. We refer to the sets B and S as the bases and summits of G respectively. A set C i ∈BiscalledabaseofG and ... known techniques [10, 11, 12] for ranking and unranking function classes and hence the bijections provide ways to rank and unrank spanning trees of K n and K n 1 , ,n k ....

Ngày tải lên: 07/08/2014, 06:23

... dis- covered ten classes of permutations with forbidden patterns that are in one-to-one corre- spondence with Schrăoder paths. Dyck paths are also closely related to permutations with forbidden patterns, ... M n and S n (231, 4 ¯ 132) in terms of reduced decompositions. A similar approach is used by Egge and Mansour [12] for permutations related to Schrăoder paths...

Ngày tải lên: 07/08/2014, 07:21

... enumeration of k-colored Motzkin paths with a fixed number of (left and right) peaks and valleys. Further enumeration results are ob- tained when peaks and valleys are counted at low and high level. ... 2-colored Motzkin path and its corresponding word Throughout this paper we denote by M the set of all k-colored Motzkin words (or equivalently k-colored Motzkin p...

Ngày tải lên: 07/08/2014, 08:22

... follows from Theorem 2 and item 4 above. ✷ Corollary 1 There exists a partition of n with BG-rank = j if and only if j + n is even and j(2j − 1) ≤ n. 4 Congruences Berkovich and Garvan’s motivation ... 13 (2006), #N18 2 References [1] Alexander Berkovich and Frank Garvan, On the Andrews-Stanley refinement of Ra- manujan’s partition congruence modulo 5 and generalizations, Trans. A...

Ngày tải lên: 07/08/2014, 13:21

... ≺ q , q ∈ Z and i ∈ [0, 5]. 18. Nonintersecting Paths and Semistandard Young Tableaux In this section, the special case of tuples of nonintersecting paths in an a by b rectangle, with the paths starting ... 0) and (i, 1), and between (i, b) and (i, b+1), for each i ∈ [a], and vertically between (0, j) and (1, j), and between (a, j) and (a+1, j), for each j ∈ [b], and...

Ngày tải lên: 07/08/2014, 15:22

... journal of combinatorics 16 (2009), #R67 5 Lattice paths, sampling without replacement, and limiting distributions M. Kuba, A. Panholzer and H. Prodinger Institut făur Diskrete Mathematik und ... known sampling without replacement urn. We provide limiting distribution results for the underlying random variable, obtaining a total of five phase changes. Keywords: Lattice p...

Ngày tải lên: 07/08/2014, 21:21

... (3.12), (3.13),(3.14) and (3.15) and equating the results pairwise as follows. Equations (3.8) and (3.9) give (1); equations (3.10) a nd (3.11) give (2); equations (3.12) and (3 .1 3) give (3); and equations ... math and state and prove the following theorem. Theorem 7.2. T he unique sol ution to the recurrence equation (7.2) with m −1 and n ∈ Z and with boundary given by f...

Ngày tải lên: 08/08/2014, 12:22

... said to be exterior if τ(uv) contains at least two leaves. One can check tha t the exterior edges of T are in one-to-one correspondence with the exterior pairs of the corresponding Dyck path Λ −1 (T ... nd a down step, respectively. In [3], Denise and Simion introduced and investigated the two statistics ‘pyramid weight’ and ‘number of exterior pairs on the set C n . A...

Ngày tải lên: 08/08/2014, 14:23

... elementary symmetric function (with e 0 = 1 and e r = 0 for r < 0) and ′ denotes the conjugate partition. 2 Diagonal strips We begin with some connections between generating functions and determinants. Lemma ... Weierstrass product for the function sin(πz)/πz takes the form sin(πz) πz =  k≥1  1 − z 2 k 2  . (3.1) Consider the Taylor series expansion at z = 0. On the one hand, the coeffi...

Ngày tải lên: 08/08/2014, 14:23