27 citations · 50 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
The spin-glass phase-transition in the Hopfield model with p-spin interactions
Anton Bovier, Beat Niederhauser
We study the Hopfield model with pure -spin interactions with even , and a number of patterns, M(N) growing with the system size, , as $M(N) = \a N^{p-1}$. We prove…
Stochastic symmetry-breaking in a gaussian Hopfield model
Anton Bovier, Aernout C. D. van Enter, Beat Niederhauser
We study a ``two-pattern'' Hopfield model with Gaussian disorder. We find that there are infinitely many pure states at low temperatures in this model, and we find that the metasta…