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Article overview
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Harness Processes and Non-Homogeneous Crystals | Pablo A. Ferrari
; Beat M. Niederhauser
; Eugene A. Pechersky
; | Date: |
17 Sep 2004 | Subject: | Probability; Mathematical Physics MSC-class: 60K35 82C | math.PR math-ph math.MP | Abstract: | We consider the Harmonic crystal, a measure on R^{Z^d} with Hamiltonian H(x) = sum_{i,j} J_{i,j} (x(i)-x(j))^2 + h sum_i (x(i)-d(i))^2, where x,d are configurations. The configuration d is given and considered as observations. The `couplings’ J_{i,j} are finite range. We use a version of the harness process to explicitly construct the infinite volume measure at finite temperature and to find the unique configuration x’ minimizing the Hamiltonian. | Source: | arXiv, math.PR/0409301 | Services: | Forum | Review | PDF | Favorites |
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