Báo cáo toán học: "Hard Squares with Negative Activity and Rhombus Tilings of the Plane" pdf

... 10)-invariant rhombus tilings. We get another four tilings with the same property by tiling the plane with the diamond rhombus, i.e., the dark rhombus in the very middle of the magnified picture on the ... Balanced rhombus tilings Our proofs of Conjectures 1 and 2 are based on a concrete formula for Z(Σ m,n )intermsof certain rhombus tilings of the p...

Ngày tải lên: 07/08/2014, 13:21

... row and no elements in columns with even index in the third row. For other positions in the third row and below, there are no restrictions imposed by the presence of the vertices 2, j. the ... Proceed- ings of the XXIII I UPAP International Conference on Statistical Physics, Genova, Italy, 2007. arXiv:0709.4120v1 [8] J. Jonsson, Hard squares with negative activi...

Ngày tải lên: 08/08/2014, 01:20

... coloring of K 2n,2n using the colors of the list at each edge. This paper will present the key lemma in the next section and then proceed to the proof of Theorem 5. We end with some discussions of the ... improper pairs, any other symbol of M,sayt,canbeusedto complete the 2 ×2 standard subsquares containing s in E  , while the other 2m −2canbe used in any of...

Ngày tải lên: 07/08/2014, 13:21

... · ) with d  3, o ther than (i)–(iv) above (and combinations of (i), (ii)). Finally, we describe the parameter arrays of the ρ-descendents of Φ: (A.3) Theorem([33, Theorem 6.9]). Let Φ be the ... X 2 , and by ( 4.4), (7.3), Y must be of the for m as in (8.20). Summary and remarks Let P be the set of descendents of Γ and w(P) = {w(Y ) : Y ∈ P}. In the table bel...

Ngày tải lên: 08/08/2014, 14:23

Ngày tải lên: 05/08/2014, 09:46

... ε,providedr is sufficiently (in terms of ε) small compared to m + n. Acknowledgment The (core of the) present form of Theorem 1 and an idea incorporated in the proof of Theorem 3 are due to Noga Alon, ... arbitrary finite group? If some of the answers are negative, what are the best possible estimates of this sort? A slight modification of the approach used in the pr...

Ngày tải lên: 07/08/2014, 06:20

... increasing the numerical value of the activity, paths with larger numbers of visits will contribute more to the generating function and determine the thermodynamic phase of the model. We introduce the ... A-vertices) are attracted onto the adsorbing surface. The length of the period of the colouring changes the behaviour of the system. There are also o...

Ngày tải lên: 07/08/2014, 06:23

... below, the elements of graph theory, representation theory, and probability theory required for the statement of the theorem and the subsequent proof. The exposition here is primarily for the purposes ... graphs are expanders: a simple proof of the Alon–Roichman theorem ZEPH LANDAU Department of Mathematics City College of New York landau@sci.ccny.cuny.edu A LEXAND...

Ngày tải lên: 07/08/2014, 08:20

... a part of an expanded copy of the ith parabola (containing the piece between x = 0 and x = 1). From the discussion above, these parabolic segments together form a strictly convex chain and we ... cardinality of a convexly indep endent subset of the Minkowski sum of some planar point sets P and Q with |P | = m and |Q| = n. They proved that M(m, n) = ∗ Preliminary ve...

Ngày tải lên: 08/08/2014, 11:20

... active pumping of the agents out of the cells and their pas- sive uptake [10,31] and (b) competition between the active pumping of the agents out of the cells and their intracellular binding to receptors and ... be due to their ability to compete with the tight binding of the drugs to their respective targets, rather than their capacity to compete with the...

Ngày tải lên: 18/02/2014, 13:20