The solution of the Bernstein problem in the regular and exceptional cases, in all dimensions n, was made by Yu. Lyubich. A. Grishkov proved that there are no Ε½ . nonregular nonexceptional nuclear Bernstein algebras of type 4, 2 with stochastic Ε½ . realization and therefore the Bernstein problem of
The directed polymer problem in general dimension
β Scribed by Ehud Perlsman; Moshe Schwartz
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 269 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
A real space RG treatment of the directed polymer problem is presented. In the zero temperature regime (strong coupling) no upper critical dimension is found. The method that is based on the exact results in 1 + 1 dimensions yields in 2 + 1 and 3 + 1 dimensions excellent agreement with published numerical results.
π SIMILAR VOLUMES
The aim of this paper is to describe explicitly all simplicial stochastic nonexceptional nonregular Bernstein algebras of dimension 5. ce 1995 Academic Press. Inc
The representations of general dimension are constructed for the SU(2) Skyrme model, treated quantum mechanically ab initio. This quantum Skyrme model has a negative mass term correction that is not present in the classical Hamiltonian. The magnitude of the quantum mechanical mass correction increas