2 papers
math.PR2004
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…
cond-mat.dis-nn2001
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…