#### Filter Results:

- Full text PDF available (57)

#### Publication Year

1970

2017

- This year (1)
- Last 5 years (9)
- Last 10 years (33)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

We study a model of densely packed self-avoiding loops on the annulus, related to the Temperley Lieb algebra with an extra idempotent boundary generator. Four different weights are given to theâ€¦ (More)

We present an algorithm for enumerating exactly the number of Hamiltonian chains on regular lattices in low dimensions. By definition, these are sets of k disjoint paths whose union visits eachâ€¦ (More)

- Fabien Alet, Jesper Lykke Jacobsen, GrÃ©goire Misguich, Vincent Pasquier, FrÃ©dÃ©ric Mila, Matthias Troyer
- Physical review letters
- 2005

We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D. S.â€¦ (More)

- Richard Oberdorf, Allison Ferguson, Jesper Lykke Jacobsen, JanÃ© Kondev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

Compact polymers are self-avoiding random walks that visit every site on a lattice. This polymer model is used widely for studying statistical problems inspired by protein folding. One difficultyâ€¦ (More)

We study the chromatic polynomials for m Ã— n square-lattice strips, of width 9 â‰¤ m â‰¤ 13 (with periodic boundary conditions) and arbitrary length n (with free boundary conditions). We have used aâ€¦ (More)

We discuss in this paper combinatorial aspects of boundary loop models, that is models of selfavoiding loops on a strip where loops get different weights depending on whether they touch the left, theâ€¦ (More)

We study the chromatic polynomial PG(q) for mÃ— n squareand triangular-lattice strips of widths 2 â‰¤ m â‰¤ 8 with cyclic boundary conditions. This polynomial gives the zero-temperature limit of theâ€¦ (More)

We study the two-boundary extension of a loop modelâ€”corresponding to the dense phase of the O(n) model, or to the Q = n state Potts modelâ€”in the critical regime âˆ’2 < n â‰¤ 2. This model is defined onâ€¦ (More)

We discuss the relationship between the phase diagram of the Q = 0 state Potts model, the arboreal gas model, and the supersphere sigma model S = OSP (1/2)/OSP (0/2). We identify the Pottsâ€¦ (More)

A relation between the average length of loops and their free energy is obtained for a variety of O(n)-type models on two-dimensional lattices, by extending to finite temperatures a calculation dueâ€¦ (More)