Báo cáo toán học: "Double-dimer pairings and skew Young diagrams" pps

... Suppos e a Dyck tiling of a skew Young diagram λ/µ contains no pair of tiles T 1 and T 2 for which (1) T 2 is above T 1 (2) T 1 and T 2 have no tiles between them, and (3) the horizontal extent ... by superposing a random dimer cover (perfect matching) of G with a random dimer cover of G \ N (see figure at right). Here by random dimer cover we mean a dimer cover chosen randomly for t...

Ngày tải lên: 08/08/2014, 14:23

Ngày tải lên: 05/08/2014, 09:46

... Now, just as there is a correspondence between pairs of Young tableaux and permutations, there is a similar correspondence between single Young tableaux and involutions (take the permutation corresponding ... interacting particle process and longest increasing subsequences, Prob. Th. and Rel. Fields 103 (1995), no. 2, 199–213. 2. Barbasch, D. and Vogan, D., Primitive ideals and...

Ngày tải lên: 07/08/2014, 06:22

... The vertex set of G Q is the set of singletons of X and, for each q = ab|cd ∈ Q, there is an edge joining {a} and {b}, and an edge joining {c} and {d} each of which is labelled q. Apart from these ... then G Q has edges {a, b} and {c, d} labelled q 1 , and separate edges {a, b} and {c, e} labelled q 2 . For purposes later in the paper, in reference to q, we sometimes use {a, b} q...

Ngày tải lên: 07/08/2014, 21:20

... Bipartite Coverings and the Chromatic Number Dhruv Mubayi Department of Mathematics Statistics, and Computer Science University of Illinois Chicago, IL 60607, ... above two inequalities we o bta in 2 b(G p )/n p log(n/k)  k/ log k. Taking logs and using the facts that n  k log k and n p  k we get b(G p )  k(log k − log log k −log log log k). We now consider ... proved by consideri...

Ngày tải lên: 07/08/2014, 21:21

... ends in a standard Young tableau, and [NPS] tells us that every standard Young tableaux of shape λ will be generated exactly n!/N times (N stands for the total number of standard Young tableaux ... number of co-occurrences of standard Young tableaux with descents at 1 and at 3 is the number of standard Young tableaux with descents at 1 less the number of standard Young tableau...

Ngày tải lên: 07/08/2014, 06:22

... measurements, and drafted the manuscript. CY conducted the STEM measurement. SZ, TH, and GH conducted the MBE growth. JH, WW, and CH coordinated the study. WL provided the idea and conceived ... identified as the indirect transition from the InGaAs conduction band to the GaSb hole level (type-II) and the GaSb QDs direct interband transition (type-I) respectively, as shown in Fi...

Ngày tải lên: 20/06/2014, 20:20

... concentrations become light yellow, and the color becomes deeper and deeper with increasing Mn. The phase purity and crystal structure of the pristine ZnO and Mn-doped ZnO for various doping ... in the absorption band edge with increasing dopant concentration, and corresponding photoluminescence spectra show that Mn doping suppresses both near-band edge UV emission and defect-...

Ngày tải lên: 20/06/2014, 20:20

... noncon- vexity in X and {Y n } ∞ n=1 is the decreasing sequence of nonempty, closed, and bounded subsets of X defined by Y 1 = f(Y ), Y n+1 = f(Y n ) (n ∈ N). Proposition 3.2. Let Y be a nonempty and weakly ... point theorems for con- densing and nonexpansive maps will be proved. 3.1. Condensing maps. Definition 3.3. Let Y be a nonempty and bounded subset of a Banach space X, and le...

Ngày tải lên: 20/06/2014, 20:20

... able to adapt and synchro- nize well with the tempo, dynamics and rhythmic feel of the performer and this needs to be achieved within hard real-time constraints. Unlike repetitive and dull tasks, ... conga player, and a central computer as shown in Figure 14. The central computer listens to the polyphonic music played by all parties and jointly infers the tempo, and bar position...

Ngày tải lên: 20/06/2014, 20:20