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math.PR2004★ 1 cited
Harness Processes and Non-Homogeneous Crystals
Pablo A. Ferrari, Beat M. Niederhauser, Eugene A. Pechersky
We consider the Harmonic crystal, a measure on 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, \d…
math.PR2003★ 10 cited
Harness processes and harmonic crystals
Pablo A. Ferrari, Beat M. Niederhauser
In the Hammersley harness processes the real-valued height at each site i in Z^d is updated at rate 1 to an average of the neighboring heights plus a centered random variable (the…
math.PR2002★ 9 cited
The serial harness interacting with a wall
P. A. Ferrari, L. R. G. Fontes, B. Niederhauser +1
The serial harnesses introduced by Hammersley describe the motion of a hypersurface of dimension d embedded in a space of dimension . The height assigned to each site i of Z^d…