Harness Processes and Non-Homogeneous Crystals

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dc.creatorFerrari, Pablo A.
dc.creatorNiederhauser, Beat M.
dc.creatorPechersky, Eugene A.
dc.date2004-09-17
dc.date2007-06-06
dc.date.accessioned2026-07-07T08:04:24Z
dc.date.available2026-07-07T08:04:24Z
dc.descriptionWe consider the Harmonic crystal, a measure on $\mathbb{R}^{\mathbb{Z}^{d}}$ with Hamiltonian $H(\x)=\sum_{i,j}J_{i,j}(\x(i)-\x(j))^{2}+ h\sum_{i}(\x(i)-\dd(i))^{2}$, where $\x, \dd$ are configurations, $\x(i),\dd(i)\in\mathbb{R}$, $i,j\in{\mathbb{Z}^{d}}$. The configuration $\dd$ 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 unique infinite volume measure at finite temperature and to find the unique ground state configuration $\m$ corresponding to the Hamiltonian.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0409301
dc.identifierhttp://arxiv.org/abs/math/0409301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129945
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35 82C
dc.titleHarness Processes and Non-Homogeneous Crystals
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