โ Scribed by J. Van Craen
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Exact expressions for the Curie temperature, magnetization, quadrupolar moment and the susceptibility of a spin-one Ising model on a Bethe lattice are derived. Biquadratic exchange and single-ion anisotropy are included, in addition to the bilinear exchange interactions. The variation of the critica
The complications encountered in direct renormalization approaches for the self-avoiding walk problem are discussed. Using a decimation transformation on the square lattice, sequences of approximants to the critical exponent Y and to the inverse connective constant K,(l/K, = ~1 are obtained.
Let G=(V, E) be an undirected graph and C a subset of vertices. If the sets B r (v) 5 C, v ยฅ V, are all nonempty and different, where B r (v) denotes the set of all points within distance r from v, we call C an r-identifying code. We give bounds on the best possible density of r-identifying codes in