We study the O(N) loop model on the Honeycomb lattice with real value N ≥ 1 by means of a cluster algorithm. The formulation of the algorithm is based on the equivalence of the O(N) loop model and the low-temperature graphical representation of a N -color Ashkin-Teller model on the triangular lattice. The latter model with integer N can be simulated by means of an embedding Swendsen-Wang-type c...

We investigate the continuum q-Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered phases in the high-q case. We argue that the occurrence of a phase transition can be seen as a percolation in the related random cluster representation, similarly to the lattice Potts model, and investigate the typica...

Mediation of Cohesive Clues in Simultaneous Interpreting: A Perspective of Interactive Embodiment and Mental Coherence Gao Wei Heriot-Watt University Abstract Based on interactive embodiment and mental coherence of cognitive linguistics (CL) (Lakoff1987, 1999; Langacker 2000, Zwaan2000, Wang Yin 2006) and also Relevance Theory (RT) (Sperber and Wilson 1986, 1995), this paper aims to reveal how ...

The critical properties of the randomly site-diluted two-dimensional Ising model were studied using the Wang-Landau algorithm. The concentration of nonmagnetic sites was q = 0.1; the remaining sites were occupied by magnetic particles. The study was carried out in the appropriate restricted but dominant energy subspaces. The main effort was focused on the specific heat and magnetic susceptibili...

We have performed a high-precision Monte Carlo study of the dynamic critical behavior of the Swendsen–Wang algorithm for the two-dimensional 3state Potts model. We find that the Li–Sokal bound (τint,E ≥ const × CH) is almost but not quite sharp. The ratio τint,E/CH seems to diverge either as a small power (≈ 0.08) or as a logarithm.

We introduce and study the number of tilings of unit height rectangles with irrational tiles. We prove that the class of sequences of these numbers coincides with the class of diagonals of N-rational generating functions and a class of certain binomial multisums. We then give asymptotic applications and establish connections to hypergeometric functions and Catalan numbers.

We give the inflation rules for the decorated Mosseri–Sadoc tiles in the projection class of tilings T . Dehn invariants related to the stone inflation of the Mosseri–Sadoc tiles provide eigenvectors of the inflation matrix with eigenvalues equal to τ = 1+ √ 5 2 and (−τ).

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