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- M T Batchelor, C M Yung
- 1995

The O(n) loop model on the honeycomb lattice with mixed ordinary and special boundary conditions is solved exactly by means of the Bethe ansatz. The calculation of the dominant finite-size corrections to the eigenspectrum yields the mixed boundary scaling index and the geometric scaling dimensions describing the universal surface critical behaviour. Exact… (More)

- I Alevizos, M Mahadevappa, +13 authors D T Wong
- Oncogene
- 2001

Large scale gene expression profiling was carried out on laser capture microdissected (LCM) tumor and normal oral epithelial cells and analysed on high-density oligonucleotide microarrays. About 600 genes were found to be oral cancer associated. These oral cancer associated genes include oncogenes, tumor suppressors, transcription factors, xenobiotic… (More)

Using hamster as an oral wound healing model, we examined eosinophils and their expression of transforming growth factor-alpha (TGF-alpha) and transforming growth factor-beta 1 (TGF-beta 1). Oral wounds healed approximately two times faster than their cutaneous counterparts. Eosinophils infiltrated prominently into oral wounds; however, unlike the dual… (More)

- C. M. Yung
- 1994

The procedure for obtaining integrable vertex models via reflection matrices on the square lattice with open boundaries is reviewed and explicitly carried out for a number of two-and three-state vertex models. These models include the six-vertex model, the 15-vertex A (1) 2 model and the 19-vertex models of Izergin-Korepin and Zamolodchikov-Fateev. In each… (More)

- C. M. Yung
- 1994

We derive the nested Bethe Ansatz solution of the fully packed O(n) loop model on the honeycomb lattice. From this solution we derive the bulk free energy per site along with the central charge and geometric scaling dimensions describing the critical behaviour. In the n = 0 limit we obtain the exact compact exponents γ = 1 and ν = 1/2 for Hamiltonian walks,… (More)

We derive the exact critical couplings (x * , y * a), where y * a /x * = 1 + √ 2 = 1.533. .. , for the polymer adsorption transition on the honeycomb lattice, along with the universal critical exponents, from the Bethe Ansatz solution of the O(n) loop model at the special transition. Our result for the thermal scaling dimension, and thus the crossover… (More)

- C. M. Yung
- 1995

We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of such boundaries is associated with non-diagonal twist matrices. For such models there are no trivial reference states upon which a Bethe ansatz calculation can be constructed, in contrast to the well-known case of periodic boundary… (More)

- P. D. Jarvis1and, C. M. Yung
- 2007

The S-function basis for the Fock space of vertex operator constructions is considered , where states are associated with partitions ji. We show that the matrix element hjV (z)ji is essentially given by the composite S-function s ; (z) where the argument z z ?1 is replicated jj times. Matrix elements of products of vertex operators hjV (z)V ? (w) ji are… (More)

- C M Yung, M T Batchelor
- 1995

We find all the diagonal K-matrices for the R-matrix associated with the minimal representation of the exceptional affine algebra G (1) 2. The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find many similarities with the case of the Izergin-Korepin R-matrix associated with the affine algebra A (2) 2 .

- Mitchell R Anstey, Cathleen M Yung, Juana Du, Robert G Bergman
- Journal of the American Chemical Society
- 2007