Harness Processes and Non-Homogeneous Crystals

Mathematics – Probability

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

19 pages

Scientific paper

We 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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Harness Processes and Non-Homogeneous Crystals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Harness Processes and Non-Homogeneous Crystals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harness Processes and Non-Homogeneous Crystals will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-478896

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.