155 citations · 627 across the 16 of their papers we have counts for
Showing 1998Show all
3 papers · 1 filter
cond-mat.dis-nn1998★ 40 cited
Ising Spin Glasses in a Magnetic Field
J. Houdayer, O. C. Martin
Ground states of the three dimensional Edwards-Anderson spin glass are computed in the presence of an external magnetic field. Our algorithm is sufficiently powerful for us to trea…
cond-mat.dis-nn1998★ 13 cited
Droplet Phenomenology and Mean Field in a Frustrated and Disordered System
J. Houdayer, O. C. Martin
The low lying excited states of the three-dimensional minimum matching problem are studied numerically. The excitations' energies grow with their size and confirm the droplet pictu…
math.DG1998★ 2 cited
Scaling universalities of kth-nearest neighbor distances on closed manifolds
A. G. Percus, O. C. Martin
Take N sites distributed randomly and uniformly on a smooth closed surface. We express the expected distance <D_k(N)> from an arbitrary point on the surface to its kth-nearest neig…